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

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

Step-by-step 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=(\epsilon)/(NBA)`

Where, N = number of turns

A = area

B = magnetic field

Put the value into the formula

`\omega=(1.6)/(600*\pi*(15*10^(-2))^2*0.020)`

`\omega=1.9\ rad/s`

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