If i wanted to generate a maximum emf of 20 v, what angular velocity (radians/sec, aka hz) would be required given a circular coil of wire with diameter 40 cm and 500 coils? the coil rotates through a magnet field of magnitude 9e-3 t which is directed such that the angle between the area vector and the magnet field vector varies from 0 to 2 π radians.

Angular velocity,

Explanation:

It is given that,

Maximum emf generated in the coil,

Diameter of the coil, d = 40 cm

Radius of the coil, r = 20 cm = 0.2 m

Number of turns in the coil, N = 500

Magnetic field in the coil,

The angle between the area vector and the magnet field vector varies from 0 to 2 π radians. The formula for the maximum emf generated in the coil is given by :

So, the angular velocity of the circular coil is 35.36 rad/s. Hence, this is the required solution.

see earlier