N equally spaced charges each of value q are placed on a circle of radius R. The circle rotates about its axis…

Question

A circle of radius R carrying N equally spaced charges rotates with angular velocity omega; a larger Amperian loop B encloses the whole circle and a smaller loop A encloses a small segment.

N equally spaced charges each of value $q$ are placed on a circle of radius $R$ . The circle rotates about its axis with an angular velocity $\omega$ as shown in the figure. A bigger Amperian loop $B$ encloses the whole circle, whereas a smaller Amperian loop $A$ encloses a small segment. The difference between enclosed currents, $I_A - I_B$ , for the given Amperian loops is:

A
$\frac{2\pi}{N} q\omega$
B
$\frac{N^2}{2\pi} q\omega$
C
$\frac{N}{\pi} q\omega$
D
$\frac{N}{2\pi} q\omega$

Accepted Answer

D. $$\frac{N}{2\pi} q\omega$$

Answer

A. $$\frac{2\pi}{N} q\omega$$

Answer

B. $$\frac{N^2}{2\pi} q\omega$$

Answer

C. $$\frac{N}{\pi} q\omega$$

Answer & step-by-step solution

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