Question

A rectangular coil of wires (5cm by 10cm) is wound with 100 turns of wire. It is rotated between poles of a magnet giving 1.2T of uniform magnetic field a) find area of rectangular coil

b) maximum and minimum possible total magnetic flux passing through the coil as it us rotated
c) if the coil makes 2 complete turns every second, what is the time in between the flux changing from maximum to minimum value?
d) what is the average value of the voltage generated in the coil?

Answer 1

Part a)

`A = (0.05)(0.10) = 0.005 m^2`

Part b)

Maximum flux

`\phi = 0.6 Wb`

Minimum flux

`\phi = -0.6 Wb`

Part c)

`t = 0.25 s`

Part d)

ZERO

Step-by-step explanation:

Part a)

Number of turns = 100

Area of the coil = 5 cm by 10 cm

`A = (0.05)(0.10) = 0.005 m^2`

Part b)

Maximum flux

`\phi = NBAcos0`

`\phi = (100)(1.2)(0.005) cos 0`

`\phi = 0.6 Wb`

Minimum flux

`\phi = MBAcos180`

`\phi = (100)(1.2)(0.005) cos180`

`\phi = -0.6 Wb`

Part c)

As we know that it complete 2 turns in one second

so time period of the flux is given as

`T = 0.5 s`

now to turn the coil by 180 degree the coil will take half of the time period

so it will be

`t = 0.25 s`

Part d)

Since it will turn one complete rotation in t = 0.5 s

so in one complete time period of the coil the average EMF induced in the coil will be ZERO