If a change in current of 0.01 A in one coil produces a change in magnetic flux of 2 × 10-2 Weber in another coil, 'then the mutual inductance between coils is·

Question

If a change in current of 0.01 A in one coil produces a change in magnetic flux of 2 × 10-2 Weber in another coil, 'then the mutual inductance between coils is· (A) 0 (B) 0.5 H (C) 2 H (D) 3H

Tardigrade Admin · Accepted Answer

Here, φB = 2 × 10-2 Wb , I = 0.01 A As φB = MI ∴ Mutual inductance between two coils is M = (φB/I) ( 2×10-2Wb/0.01 A) = 2H

Q. If a change in current of $0.01 A$ in one coil produces a change in magnetic flux of $2 \times 1 0^{- 2}$ Weber in another coil, 'then the mutual inductance between coils is·

0

0.5 H

2 H

3H

Here,
$ϕ_{B} = 2 \times 1 0^{- 2} Wb, I = 0.01 A$
As $ϕ_{B} = M I$
$∴$ Mutual inductance between two coils is
$M = \frac{ϕ _{B}}{I} \frac{2 \times 1 0 ^{- 2} Wb}{0.01 A} = 2 H$

Q. If a change in current of 0.01A in one coil produces a change in magnetic flux of 2×10−2 Weber in another coil, 'then the mutual inductance between coils is·

0

0.5 H

2 H

3H

Here, ϕB​=2×10−2Wb,I=0.01A As ϕB​=MI ∴ Mutual inductance between two coils is M=IϕB​​0.01A2×10−2Wb​=2H

Q. If a change in current of $0.01 A$ in one coil produces a change in magnetic flux of $2 \times 1 0^{- 2}$ Weber in another coil, 'then the mutual inductance between coils is·

Here,
$ϕ_{B} = 2 \times 1 0^{- 2} Wb, I = 0.01 A$
As $ϕ_{B} = M I$
$∴$ Mutual inductance between two coils is
$M = \frac{ϕ _{B}}{I} \frac{2 \times 1 0 ^{- 2} Wb}{0.01 A} = 2 H$