Question

An ac generator has a coil with 2500 turns and area 4.2x10-3 m^2 the coil rotates in magnetic field of .1T and generates an emf of 240Vrms what is the max magnetic flux through coil ? What is the frequency of generator ?

Answer #1

**Given :** N = 2500 , A = 4.2×10^{-3}
m^{2} , B = 0.1 T ,
= 240 V

**Solution :**

**Step:1**

We know that magnetic flux is maximum when = 0.

So maximum magnetic flux is given by :

_{B}
= B.A cos
,
= 0

_{B}
= B×A

= (0.1T) × (4.2×10^{-3} m^{2})

= 4.2×10^{-4} Wb

**Step:2**

Induced emf is given by :

= NBAsint

Maximum induced emf ,

_{o}
= NBA

=
_{o} / NBA

= (240 V)/(2500*0.1*4.2×10^{-3})

= 228.57 rad/s

We know that , = 2f

Where f is the frequency

2f = 228.57

f = 228.57/2

By solving we get ,

f = 36.4 Hz

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