A circular coil with 600 turns has a radius of 15 cm.The coil is rotating about an axis perpendicular to a magnetic field $\vec { B }$ of 0.020 T in magnitude.If the maximum induced emf in the coil is 1.6 V,at what angular frequency is the coil rotating?
A)0.30 rad/s
B)0.60 rad/s
C)0.90 rad/s
D)1.4 rad/sec
E)1.9 rad/s

Question

Quizplus · Accepted Answer

The maximum induced emf ($ \epsilon $) in a rotating coil is given by $ \epsilon = NAB\omega $, where $ N $ is the number of turns, $ A $ is the area of the coil, $ B $ is the magnetic field, and $ \omega $ is the angular frequency. Solving for $ \omega $, we have $ \omega = \frac{\epsilon}{NAB} $. Substituting the given values: $ \epsilon = 1.6 \, \text{V} $, $ N = 600 $, $ B = 0.020 \, \text{T} $, and $ A = \pi (0.15)^2 $, we find $ \omega \approx 1.9 \, \text{rad/s} $.

A Circular Coil with 600 Turns Has a Radius of 15