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Electric Charges and Fields
One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.
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1. An insulating disk with radius R carries uniformly distributed positive charge. A point charge Q with mass m is held in place on the axis of the disk distance d from its center. The net electric field is zero at the midpoint between the point charge and the disk. a) Find a symbolic expression for the surface charge density of the disk, o, in terms of Q, R, d, and any necessary constants. (You do not need to derive the electric field of a disk. See equation sheet.) b) If the point charge Q is now released from rest, what would its kinetic energy be when it is distance 2d away from the disk? You can ignore gravity force. Your answer should be in terms of o, Q, R, d, and any necessary constants. Q
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Transcribed Image Text:1. An insulating disk with radius R carries uniformly distributed positive charge. A point charge Q with mass m is held in place on the axis of the disk distance d from its center. The net electric field is zero at the midpoint between the point charge and the disk. a) Find a symbolic expression for the surface charge density of the disk, o, in terms of Q, R, d, and any necessary constants. (You do not need to derive the electric field of a disk. See equation sheet.) b) If the point charge Q is now released from rest, what would its kinetic energy be when it is distance 2d away from the disk? You can ignore gravity force. Your answer should be in terms of o, Q, R, d, and any necessary constants. Q
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