Question

A flat circular coil of radius 5.40 cm and exactly 28 loops is rotated in a magnetic field of magnitude 3.10 T. What is the minimum angular velocity at which the coil can be rotated to achieve an EMF of 122 V on the coil?

Answer 1

To find the minimum angular velocity at which the coil can be rotated to achieve an EMF of 122 V, we can use the formula for the EMF induced in a rotating coil.

Step-by-step explanation:

To find the minimum angular velocity at which the coil can be rotated to achieve an EMF of 122 V, we can use the formula for the EMF induced in a rotating coil:

EMF = N * B * A * w

Where N is the number of loops, B is the magnetic field magnitude, A is the area of the coil, and w is the angular velocity. Rearranging the formula, we get:

w = EMF / (N * B * A)

Plugging in the values given, w = 122 / (28 * 3.10 * (π * 0.0540^2))

Calculating this, we find the minimum angular velocity to be approximately 957.36 rad/s.