Question

A circular coil with 600 turns has a radius of 15 cm. The coil is rotating about an axis perpendicular to a magnetic field of 0.020 T. If the maximum induced emf in the coil is 1.6 V, at what angular frequency is the coil rotating?

Answer 1

Answer:

The angular frequency is the coil rotating is 1.9 rad/s.

Explanation:

Given that,

Number of turns = 600

Radius = 15 cm

Magnetic field = 0.020 T

Maximum induced emf = 1.6 V

We need to calculate the angular frequency is the coil rotating

Using formula emf

$\epsilon =NBA\omega\sin\omega t$

When  induced emf is maximum so $\sin\omega t$ will be 1.

$\omega=\dfrac{\epsilon}{NBA}$

Where, N = number of turns

A = area

B = magnetic field

Put the value into the formula

$\omega=\dfrac{1.6}{600\times\pi\times(15\times10^{-2})^2\times0.020}$

$\omega=1.9\ rad/s$

Hence, The angular frequency is the coil rotating is 1.9 rad/s.