Exam 22: Electric Fields and Gausss Law

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A + 5.00-nC point charge is placed on the x axis at x = 1.00 m,and a - 6.00-nC point charge is placed on the y axis at y = -2.00 m.What is the direction of the electric field at the origin?

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Four electric fields,E1,E2,E3, and E4 are produced at four different points,1,2,3,and 4 by charges q,2q,q,and 2q,respectively.If the distances of the four points from the charges are 10,10,20,and 20 cm,respectively,rank in order from smallest to largest their electric field strengths.

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Inside a spherical surface is a 5.3 * 10-6C and a -2.2 * 10-6 C charge.What is the total electric flux through the surface of the sphere in units of N m2/C?

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The electrons in a particle beam each have a kinetic energy of 1.6 * 10-16 J,enter an electric field of 2000 N/C and are stopped.What is the stopping distance of these electrons?

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An electric dipole has opposite charges of 2.0 * 10-15 C which are separated by a distance of 0.40 mm.It is oriented at 40 \circ with respect to a uniform electric field of 1.0 * 103 N/C.Determine the magnitude of the torque exerted on the dipole by the electric field.

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Two identical point charges Q are placed each diagonally opposite corners of a square (1.0 m on a side).The magnitude of the electric field at either of the two unoccupied corners is 19.1 N/C.The absolute value of the charge Q is

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Two electrons are located at two of the vertices of an equilateral triangle,one at each vertex.The length of one side of the triangle is 1.00 nm.What is the magnitude of the net electric field at the third vertex?

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A small charge is in a constant vertical electric field E = 1.32 * 103 N/C in the positive y-direction.If the charge has a mass of 0.022 kg and its acceleration is -1.0 m/s2,what is the charge? There is no gravity.

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What is the electric field 0.25 m away from a -6.5 μ\mu C point charge?

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A charged metal ball of mass,m hangs from a string.An electric field of 15,000 N/C,pointing to the right,is then turned on.After the electric field is turned on,the ball hangs at a 20 degree angle away from the vertical.If the charge on the ball is 6.1 * 10-6 C,what is the tension in the string?

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Two ions are placed on the x-axis.One has a charge of + e and is located at the origin.The other has a charge of -4e and is located at x = + d,where d > 0.Where on the x-axis is the net electric field equal to zero?

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A point charge q is located at the center of a sphere of radius R.The sphere is then surrounded concentrically by a uniform ring having linear charge density λ\lambda and radius a (a >R).The flux through the sphere is

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A + 3.5-nC point charge is placed at one corner of a square (2.0 m on a side),and a -5.7-nC charge is placed on a corner diagonally away from the first charge.What is the magnitude of the electric field at either of the two unoccupied corners?

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The figure shows a hollow conducting spherical shell with an inner radius of 8 cm and an outer radius of 10 cm.A charge,q,placed at the center of the shell causes an electric field at the inner surface of the shell,Ei,which has a magnitude of 80 N/C and points toward the center of the sphere.Additionally,there is an electric field at the outer surface,Eo,which has a magnitude of 80 N/C and points away from the center of the sphere.Determine the charge on the spherical shell. The figure shows a hollow conducting spherical shell with an inner radius of 8 cm and an outer radius of 10 cm.A charge,q,placed at the center of the shell causes an electric field at the inner surface of the shell,E<sub>i</sub>,which has a magnitude of 80 N/C and points toward the center of the sphere.Additionally,there is an electric field at the outer surface,E<sub>o</sub>,which has a magnitude of 80 N/C and points away from the center of the sphere.Determine the charge on the spherical shell.

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A point charge of 7.8 μ\mu C is located inside a hemisphere,which consists of two surfaces: a flat disk topped by half a sphere.If the electric flux through the half-sphere is 5.3 * 105 Nm2/C,what is the flux through the flat disk section?

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Consider a proton placed near an infinite plane of positive charge with no other objects close by.The proton would

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Consider a cubical box that contains a charge distribution of total charge q = 6.40 μ\mu C.The total electric flux through 5 of the 6 sides is Φ\varPhi = 3.90 *105 Nm2/C.What is the electric flux through the remaining sixth surface of the box (in Nm2/C)?  Consider a cubical box that contains a charge distribution of total charge q = 6.40  \mu C.The total electric flux through 5 of the 6 sides is  \varPhi  = 3.90 *10<sup>5</sup> Nm<sup>2</sup>/C.What is the electric flux through the remaining sixth surface of the box (in Nm<sup>2</sup>/C)?

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A metal sphere of radius R = 12 cm carries a total charge of Q = 1 μ\mu C.What is the magnitude of the electric field just outside the sphere?

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A cubical box has six faces,each 20 cm * 20 cm.The flux through each face is (the sides are labeled like a die,sides 1 and 6 are opposite to each other,as are 2 and 5,and 3 and 4. Side Flux (Nm2/C) 1 -120 2 + 300 3 -100 4 + 600 5 -40 6 -150 Find the net charge inside the cube.

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Three charges are placed at the corners of an equilateral triangle that is 0.16 m on each side.The first charge is 3.4 μ\mu C,the second is 2.2 μ\mu C and the third is 1.6 μ\mu C.What is the magnitude of the electric field at the center of the triangle due to the three charges?

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