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The diagram above shows some of the equipotentials in a plane perpendicular to t

ID: 1614458 • Letter: T

Question

The diagram above shows some of the equipotentials in a plane perpendicular to two parallel charged metal cylinders. The potential of each line is labeled. a. The left cylinder is charged positively. What is the sign of the charge on the other cylinder? b. On the diagram above, sketch lines to describe the electric field produced by the charged cylinders. c. Determine the potential difference, V_A - V_B, between points A and B. d. How much work is done by the field if a charge of 0.50 coulomb is moved along a path from point A to point E and then to point D?

Explanation / Answer

a. The charge will be same i.e positive on the other cylinder also.

b. The field lines will be coming out from the center of the cylinder radially and it will be perpendicular to the equipotential surface/lines.

c. Potential difference between A and B = VA-VB = -20 + 10 = -10V

d. Va-Vd = -20-10 = -30V

Work done = -50 x 0.50 C = -25Joules