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The magnitude of the net electric field at a distance x from the center and on t

ID: 1309387 • Letter: T

Question

The magnitude of the net electric field at a distance x from the center and on the axis of a uniformly charged ring of radius r and total charge q is given by

Enet =

.

Consider two identical rings of radius 12.0 cm separated by a distance d = 24.0 cm

as shown in the diagram below. The charge per unit length on ring A is ?6.70 nC/cm,

while that on ring B is +6.70 nC/cm, and the centers of the two rings lie on the x axis. What is the magnitude and direction of the net electric field at the location P?

kqx/ (x2 + r2)3/2

Explanation / Answer

The net field will be

= - [kq(4d/3)]/[((4d/3)2+(d/2)2)3/2] + [kq(d/3)]/[((d/3)2+(d/2)2)3/2]

= - 0.462 kq/d2? + 1.536 kq/d2?

= 1.074 kq/d2?

q= Lambda* 2*(pi)*r

Hence, E= 8.477*104 N/C towards positive x axis