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Two flat circular coils A and B are made...

Two flat circular coils A and B are made from two identical copper wires, each of length 50 cm. If the number of turns inA and B are 6 and 3 respectively, and the same current flows though them, then the ratio of the magnetic fields at the currents of A and B will be

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
Length of the wire `L=n_1(2pir_1)=n_2(2pir_2) therefore r_2/r_1=n-1/n_1=6/3=2 therefore B_1/B_2=(2pin_1I)/r_1 xx r_2/(2pin_2I)=(n_1/n_2)x(r_2/r_1)=(n_1/n_2)n_1/n_2)=(n_1/n_2)^(2)=4`.
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