Exam 18: Magnetism

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A straight 1.0-m long wire is carrying a current.The wire is placed perpendicular to a 0.20-T B\vec { B } field.If the magnetic force exerted on the wire has a magnitude of 0.60 N,what is the current in the wire?

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Alpha particles,each having a charge of +2e and a mass of 6.64 ×10-27 kg,are accelerated in a uniform 0.50 T0.50 \mathrm {~T} B\vec { B } field to a final orbit radius of 0.50 m0.50 \mathrm {~m} The B\vec { B } field is perpendicular to the velocity of the particles.What is the kinetic energy of an alpha particle in the final orbit? (1 eV = 1.60 × 10-19 J,e = 1.60 × 10-19C)

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The magnitude of the B\vec { B } field that a long and extremely thin current-carrying wire produces at a distance of 3.0 µm from the center of the wire is 2.0 × 10-3 T.What is the current through the wire? (μ0 = 4π × 10-7 T ∙ m/A)

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An electron moving in the +y direction,at right angles to a magnetic field,the magnetic force exerted on it is in the -x direction.The direction of the B\vec { B } field is in the

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Two long parallel wires carry currents of 20 A and 5.0 A in opposite directions.The wires are separated by 20 cm.At what point between the two wires do they produce the same magnitude B\vec { B } field?

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A long straight wire has a constant current through it to the right.A rectangular metal loop is situated above the wire,and also has a constant current through it,as shown in the figure.Which one of the following statements is true? A long straight wire has a constant current through it to the right.A rectangular metal loop is situated above the wire,and also has a constant current through it,as shown in the figure.Which one of the following statements is true?

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A 2.0-m straight wire carrying a current of 0.60 A is oriented parallel to a uniform magnetic field of 0.50 T.What is the magnitude of the magnetic force exerted on it?

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A long straight wire carrying a 4-A current is placed along the x-axis as shown in the figure.What is the magnitude of the B\vec { B } field at a point P,located at y = 2 cm,due to the current in this wire? (μ0 = 4π × 10-7 T ∙ m/A)  A long straight wire carrying a 4-A current is placed along the x-axis as shown in the figure.What is the magnitude of the  \vec { B }  field at a point P,located at y = 2 cm,due to the current in this wire? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)

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An electron moving perpendicular to a uniform magnetic field of 0.22 T moves in a circle with a speed of 1.5 × 107 m/s.What is the radius of the circle? (e = 1.60 × 10-19 C,melectron = 9.11 × 10-31kg)

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Three long parallel wires each carry 2.0-A currents in the same direction.The wires are oriented vertically,and they pass through three of the corners of a horizontal square of side 4.0 cm.What is the magnitude of the B\vec { B } field at the fourth (unoccupied)corner of the square due to these wires? (μ0 = 4π × 10-7 T ∙ m/A)

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An electron moving along the +x-axis enters a magnetic field.If the electron experiences a magnetic deflection in the -y direction,then the B\vec { B } field must have a component

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A high power line carries a current of 1.0 kA.What is the magnitude of the B\vec { B } field this line produces at the ground,10 m away? (μ0 = 4π × 10-7 T ∙ m/A)

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A very long thin wire produces a B\vec { B } field of 0.0020×104 T0.0020 \times 10 ^ { - 4 } \mathrm {~T} at a distance of 1.0 mm1.0 \mathrm {~mm} from the wire.What is the magnitude of the current? (μ0 = 4π × 10-7 T ∙ m/A)

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A proton,with mass 1.67 × 10-27 kg and charge +1.6 × 10-19 C,is sent with velocity 2.3×104 m/s2.3 \times 10^4 \mathrm {~m} / \mathrm { s } in the +x direction into a region where there is a uniform E\vec { E } field of magnitude 780 V/m780 \mathrm {~V} / \mathrm { m } in the +y direction.What must be the magnitude and direction of the uniform B\vec { B } field in the region if the proton is to pass through undeflected? Assume that the magnetic field has no x component and neglect gravitational effects.

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An electron moves with a speed of 8.0 × 106 m/s along the +x-axis.It enters a region where there is a magnetic field of 2.5 T,directed at an angle of 60° to the +x-axis and lying in the xy-plane.Calculate the magnitude of the magnetic force on the electron.(e = 1.60 × 10-19C)

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A flat rectangular loop of wire carrying a 4.0-A current is placed in a uniform 0.60-T magnetic field.The magnitude of the torque exerted on this loop when the plane of the loop makes a 30° angle with the B\vec { B } field is measured to be 1.1 N ∙ m.What is the area of this loop?

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An electron moves with a speed of 8.0 × 106 m/s along the +x-axis.It enters a region where there is a magnetic field of 2.5 T,directed at an angle of 60° to the +x-axis and lying in the xy-plane.Calculate the magnitude of the acceleration of the electron.(e = 1.60 × 10-19 C,me1 = 9.11 × 10-31 kg)

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At point P the B\vec { B } field due to a long straight wire carrying a current of 2.0 A is 1.2 µT.How far is P from the wire? (μ0 = 4π × 10-7 T ∙ m/A)

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A flat circular loop carrying a current of 2.0 A is in a B\vec { B } field of 3.5 T.The loop has an area of 0.12 m2 and its plane is oriented at a 37° angle to the B\vec { B } field.What is the magnitude of the magnetic torque exerted on the loop?

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An electron moving perpendicular to a uniform magnetic field of 3.2 × 10-2 T moves in a circle of radius 0.40 cm.How fast is this electron moving? (e = 1.60 × 10-19 C,melectron = 9.11 × 10-31kg)

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