Exam 32: Electromagnetic Waves

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Given that the wavelengths of visible light range from 400 nm to 700 nm,what is the highest frequency of visible light? (c = 3.0 × 108 m/s)

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A microwave oven operates with sinusoidal microwaves at a frequency of 2400 MHz.The height of the oven cavity is 25 cm and the base measures 30 cm by 30 cm.Assume that microwave energy is generated uniformly on the upper surface of the cavity and propagates directly downward toward the base.The base is lined with a material that completely absorbs microwave energy.The total microwave energy content of the cavity is 0.50 µJ.What is the intensity of the microwave beam? (c = 3.00 × 108 m/s, A microwave oven operates with sinusoidal microwaves at a frequency of 2400 MHz.The height of the oven cavity is 25 cm and the base measures 30 cm by 30 cm.Assume that microwave energy is generated uniformly on the upper surface of the cavity and propagates directly downward toward the base.The base is lined with a material that completely absorbs microwave energy.The total microwave energy content of the cavity is 0.50 µJ.What is the intensity of the microwave beam? (c = 3.00 × 10<sup>8</sup> m/s,   ,  , A microwave oven operates with sinusoidal microwaves at a frequency of 2400 MHz.The height of the oven cavity is 25 cm and the base measures 30 cm by 30 cm.Assume that microwave energy is generated uniformly on the upper surface of the cavity and propagates directly downward toward the base.The base is lined with a material that completely absorbs microwave energy.The total microwave energy content of the cavity is 0.50 µJ.What is the intensity of the microwave beam? (c = 3.00 × 10<sup>8</sup> m/s,   ,

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The magnitude of the magnetic field at point P for a certain electromagnetic wave is 2.12 μT.What is the magnitude of the electric field for that wave at P? (c = 3.0 × 108 m/s)

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A laser with a power of 1.0 mW has a beam radius of 1.0 mm.What is the peak value of the electric field in that beam? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T • m/A, A laser with a power of 1.0 mW has a beam radius of 1.0 mm.What is the peak value of the electric field in that beam? (c = 3.0 × 10<sup>8</sup> m/s,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,

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The average intensity of the sunlight in Miami,Florida,is 1.04 kW/m2.For surfaces on which the light is all absorbed,what is the average value of the radiation pressure due to this sunlight in Miami? The average intensity of the sunlight in Miami,Florida,is 1.04 kW/m<sup>2</sup>.For surfaces on which the light is all absorbed,what is the average value of the radiation pressure due to this sunlight in Miami?   μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,  μ0 = 4π × 10-7 T • m/A, The average intensity of the sunlight in Miami,Florida,is 1.04 kW/m<sup>2</sup>.For surfaces on which the light is all absorbed,what is the average value of the radiation pressure due to this sunlight in Miami?   μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,

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28)A sinusoidal electromagnetic wave is propagating in vacuum.At a given point P and at a particular time,the electric field is in the +x direction and the magnetic field is in the -y direction. (a)What is the direction of propagation of the wave? (b)If the intensity of the wave at point P is 28)A sinusoidal electromagnetic wave is propagating in vacuum.At a given point P and at a particular time,the electric field is in the +x direction and the magnetic field is in the -y direction. (a)What is the direction of propagation of the wave? (b)If the intensity of the wave at point P is   what is the electric field amplitude at that point?   ,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,  what is the electric field amplitude at that point? 28)A sinusoidal electromagnetic wave is propagating in vacuum.At a given point P and at a particular time,the electric field is in the +x direction and the magnetic field is in the -y direction. (a)What is the direction of propagation of the wave? (b)If the intensity of the wave at point P is   what is the electric field amplitude at that point?   ,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,  0 = 4π × 10-7 T • m/A, 28)A sinusoidal electromagnetic wave is propagating in vacuum.At a given point P and at a particular time,the electric field is in the +x direction and the magnetic field is in the -y direction. (a)What is the direction of propagation of the wave? (b)If the intensity of the wave at point P is   what is the electric field amplitude at that point?   ,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,

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An electromagnetic wave propagates along the +y direction as shown in the figure.If the electric field at the origin is along the +z direction,what is the direction of the magnetic field? An electromagnetic wave propagates along the +y direction as shown in the figure.If the electric field at the origin is along the +z direction,what is the direction of the magnetic field?

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The magnetic field of an electromagnetic wave has a peak value of 5.0 × 10-10 T.What is the intensity of the wave? (c = 3.0 × 108 m/s,c = 3.00 × 108 m/s,μ0 = 4π × 10-7 T • m/A, The magnetic field of an electromagnetic wave has a peak value of 5.0 × 10<sup>-10</sup> T.What is the intensity of the wave? (c = 3.0 × 10<sup>8</sup> m/s,c = 3.00 × 10<sup>8</sup> m/s,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,

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A capacitor is hooked up to a resistor and an AC voltage source as shown in the figure.The output of the source is given by V(t)= V0 sin ωt.The plates of the capacitor are disks of radius R.Point P is directly between the two plates,equidistant from them and a distance R/2 from the center axis.At point P A capacitor is hooked up to a resistor and an AC voltage source as shown in the figure.The output of the source is given by V(t)= V<sub>0</sub> sin ωt.The plates of the capacitor are disks of radius R.Point P is directly between the two plates,equidistant from them and a distance R/2 from the center axis.At point P

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A radiometer has two square vanes (1.0 cm by 1.0 cm),attached to a light horizontal cross arm,and pivoted about a vertical axis through the center,as shown in the figure.The center of each vane is 6.0 cm from the axis.One vane is silvered and it reflects all radiant energy incident upon it.The other vane is blackened and it absorbs all incident radiant energy.An electromagnetic wave with an intensity of 0.30 kW/m2 is incident normally upon the vanes.What is the radiation pressure on the blackened vane? A radiometer has two square vanes (1.0 cm by 1.0 cm),attached to a light horizontal cross arm,and pivoted about a vertical axis through the center,as shown in the figure.The center of each vane is 6.0 cm from the axis.One vane is silvered and it reflects all radiant energy incident upon it.The other vane is blackened and it absorbs all incident radiant energy.An electromagnetic wave with an intensity of 0.30 kW/m<sup>2</sup> is incident normally upon the vanes.What is the radiation pressure on the blackened vane?     ,    A radiometer has two square vanes (1.0 cm by 1.0 cm),attached to a light horizontal cross arm,and pivoted about a vertical axis through the center,as shown in the figure.The center of each vane is 6.0 cm from the axis.One vane is silvered and it reflects all radiant energy incident upon it.The other vane is blackened and it absorbs all incident radiant energy.An electromagnetic wave with an intensity of 0.30 kW/m<sup>2</sup> is incident normally upon the vanes.What is the radiation pressure on the blackened vane?     ,    , A radiometer has two square vanes (1.0 cm by 1.0 cm),attached to a light horizontal cross arm,and pivoted about a vertical axis through the center,as shown in the figure.The center of each vane is 6.0 cm from the axis.One vane is silvered and it reflects all radiant energy incident upon it.The other vane is blackened and it absorbs all incident radiant energy.An electromagnetic wave with an intensity of 0.30 kW/m<sup>2</sup> is incident normally upon the vanes.What is the radiation pressure on the blackened vane?     ,    A radiometer has two square vanes (1.0 cm by 1.0 cm),attached to a light horizontal cross arm,and pivoted about a vertical axis through the center,as shown in the figure.The center of each vane is 6.0 cm from the axis.One vane is silvered and it reflects all radiant energy incident upon it.The other vane is blackened and it absorbs all incident radiant energy.An electromagnetic wave with an intensity of 0.30 kW/m<sup>2</sup> is incident normally upon the vanes.What is the radiation pressure on the blackened vane?     ,

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A planar electromagnetic wave is propagating in the +x direction.At a certain point P and at a given instant,the electric field of the wave is given by A planar electromagnetic wave is propagating in the +x direction.At a certain point P and at a given instant,the electric field of the wave is given by   = (0.082 V/m)   .What is the Poynting vector at the point P at that instant? (c = 3.0 × 10<sup>8</sup> m/s,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,  = (0.082 V/m) A planar electromagnetic wave is propagating in the +x direction.At a certain point P and at a given instant,the electric field of the wave is given by   = (0.082 V/m)   .What is the Poynting vector at the point P at that instant? (c = 3.0 × 10<sup>8</sup> m/s,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,  .What is the Poynting vector at the point P at that instant? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T • m/A, A planar electromagnetic wave is propagating in the +x direction.At a certain point P and at a given instant,the electric field of the wave is given by   = (0.082 V/m)   .What is the Poynting vector at the point P at that instant? (c = 3.0 × 10<sup>8</sup> m/s,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,

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A microwave oven operates with sinusoidal microwaves at a frequency of 2400 MHz.The height of the oven cavity is 25 cm and the base measures 30 cm by 30 cm.Assume that microwave energy is generated uniformly on the upper surface of the cavity and propagates directly downward toward the base.The base is lined with a material that completely absorbs microwave energy.The total microwave energy content of the cavity is 0.50 µJ.What magnitude force does the microwave beam exert on the base of the oven? A microwave oven operates with sinusoidal microwaves at a frequency of 2400 MHz.The height of the oven cavity is 25 cm and the base measures 30 cm by 30 cm.Assume that microwave energy is generated uniformly on the upper surface of the cavity and propagates directly downward toward the base.The base is lined with a material that completely absorbs microwave energy.The total microwave energy content of the cavity is 0.50 µJ.What magnitude force does the microwave beam exert on the base of the oven?   ,   ,  , A microwave oven operates with sinusoidal microwaves at a frequency of 2400 MHz.The height of the oven cavity is 25 cm and the base measures 30 cm by 30 cm.Assume that microwave energy is generated uniformly on the upper surface of the cavity and propagates directly downward toward the base.The base is lined with a material that completely absorbs microwave energy.The total microwave energy content of the cavity is 0.50 µJ.What magnitude force does the microwave beam exert on the base of the oven?   ,   ,  , A microwave oven operates with sinusoidal microwaves at a frequency of 2400 MHz.The height of the oven cavity is 25 cm and the base measures 30 cm by 30 cm.Assume that microwave energy is generated uniformly on the upper surface of the cavity and propagates directly downward toward the base.The base is lined with a material that completely absorbs microwave energy.The total microwave energy content of the cavity is 0.50 µJ.What magnitude force does the microwave beam exert on the base of the oven?   ,   ,

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The intensity of solar radiation near the earth is 1.4 kW/m2.What force is exerted by solar radiation impinging normally on a 5.0 m2 perfectly reflecting panel of an artificial satellite orbiting the earth? The intensity of solar radiation near the earth is 1.4 kW/m<sup>2</sup>.What force is exerted by solar radiation impinging normally on a 5.0 m<sup>2</sup> perfectly reflecting panel of an artificial satellite orbiting the earth?   ,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,  0 = 4π × 10-7 T • m/A, The intensity of solar radiation near the earth is 1.4 kW/m<sup>2</sup>.What force is exerted by solar radiation impinging normally on a 5.0 m<sup>2</sup> perfectly reflecting panel of an artificial satellite orbiting the earth?   ,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,

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The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.939 W/m2.The wave is incident upon a rectangular area,1.5 m by 2.0 m,at right angles.How much total electromagnetic energy falls on the area during 1.0 minute? The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.939 W/m<sup>2</sup>.The wave is incident upon a rectangular area,1.5 m by 2.0 m,at right angles.How much total electromagnetic energy falls on the area during 1.0 minute?   ,   ,  , The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.939 W/m<sup>2</sup>.The wave is incident upon a rectangular area,1.5 m by 2.0 m,at right angles.How much total electromagnetic energy falls on the area during 1.0 minute?   ,   ,  , The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.939 W/m<sup>2</sup>.The wave is incident upon a rectangular area,1.5 m by 2.0 m,at right angles.How much total electromagnetic energy falls on the area during 1.0 minute?   ,   ,

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The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.724 W/m2.What is the maximum value of the magnetic field in the wave? The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.724 W/m<sup>2</sup>.What is the maximum value of the magnetic field in the wave?   ,   ,ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N • m<sup>2</sup>) , The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.724 W/m<sup>2</sup>.What is the maximum value of the magnetic field in the wave?   ,   ,ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N • m<sup>2</sup>)0 = 8.85 × 10-12 C2/N • m2)

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If the electric field and magnetic field of an electromagnetic wave are given by If the electric field and magnetic field of an electromagnetic wave are given by   and B = B<sub>0</sub> sin(kx - ωt),and if the value of E<sub>0</sub> is 51 µV/m,what is the value of B<sub>0</sub>? (c = 3.0 × 10<sup>8</sup> m/s) and B = B0 sin(kx - ωt),and if the value of E0 is 51 µV/m,what is the value of B0? (c = 3.0 × 108 m/s)

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If an electromagnetic wave has components Ey = E0 sin(kx - ωt)and Bz = B0 sin(kx - ωt),in what direction is it traveling?

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If the z-component of the magnetic field of an electromagnetic wave traveling in the +x direction through vacuum obeys the equation Bz(x,t)= (1.25 μT)cos[(3800 m-1)x - If the z-component of the magnetic field of an electromagnetic wave traveling in the +x direction through vacuum obeys the equation B<sub>z</sub>(x,t)= (1.25 μT)cos[(3800 m<sup>-1</sup>)x -   ,what is the largest that the y component of the electric field can be?  ,what is the largest that the y component of the electric field can be? If the z-component of the magnetic field of an electromagnetic wave traveling in the +x direction through vacuum obeys the equation B<sub>z</sub>(x,t)= (1.25 μT)cos[(3800 m<sup>-1</sup>)x -   ,what is the largest that the y component of the electric field can be?

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A 22.0-kg mirror with a surface area of 1.0 m2 and a A 22.0-kg mirror with a surface area of 1.0 m<sup>2</sup> and a   reflectivity is bombarded by light of average intensity   at an angle of   to the normal of its surface.If the light has a duration of   how much does the velocity of the mirror change during that time?   ,   ,  reflectivity is bombarded by light of average intensity A 22.0-kg mirror with a surface area of 1.0 m<sup>2</sup> and a   reflectivity is bombarded by light of average intensity   at an angle of   to the normal of its surface.If the light has a duration of   how much does the velocity of the mirror change during that time?   ,   ,  at an angle of A 22.0-kg mirror with a surface area of 1.0 m<sup>2</sup> and a   reflectivity is bombarded by light of average intensity   at an angle of   to the normal of its surface.If the light has a duration of   how much does the velocity of the mirror change during that time?   ,   ,  to the normal of its surface.If the light has a duration of A 22.0-kg mirror with a surface area of 1.0 m<sup>2</sup> and a   reflectivity is bombarded by light of average intensity   at an angle of   to the normal of its surface.If the light has a duration of   how much does the velocity of the mirror change during that time?   ,   ,  how much does the velocity of the mirror change during that time? A 22.0-kg mirror with a surface area of 1.0 m<sup>2</sup> and a   reflectivity is bombarded by light of average intensity   at an angle of   to the normal of its surface.If the light has a duration of   how much does the velocity of the mirror change during that time?   ,   ,  , A 22.0-kg mirror with a surface area of 1.0 m<sup>2</sup> and a   reflectivity is bombarded by light of average intensity   at an angle of   to the normal of its surface.If the light has a duration of   how much does the velocity of the mirror change during that time?   ,   ,  , A 22.0-kg mirror with a surface area of 1.0 m<sup>2</sup> and a   reflectivity is bombarded by light of average intensity   at an angle of   to the normal of its surface.If the light has a duration of   how much does the velocity of the mirror change during that time?   ,   ,

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The magnitude of the electric field at a point P for a certain electromagnetic wave is 570 N/C.What is the magnitude of the magnetic field for that wave at P? (c = 3.0 × 108 m/s)

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