Question

A circular arc has a radius of 0.1m. The angle it subtends at the Centreis $\frac{\pi }{6}$ . If the charge it carries is 10C. what is the linear charge density of the wire?

• A. 500 c/m
• B. 50 c/m
• C. 192.3 c/m
• D. 215.2 c/m

Answer 1

The correct option is C

192.3 c/m

Length of the arc = R $\times$ $\theta$

= 0.10 $\times$ $\frac{\pi }{6}$

= 0.052 m

Charge contained in the wire = 10 C (given)

Linear charge density, $\lambda$ = $\frac{10C}{0.052}$ = 192.3

$\approx$ = 192 c/m