The coefficients of mutual inductance when magnetic flux changes by 2 × 10-2 Wb and current changes by 0.01 A, will be

Question

The coefficients of mutual inductance when magnetic flux changes by 2 × 10-2 Wb and current changes by 0.01 A, will be (A) 4 H (B) 3 H (C) 8 H (D) 2 H

Tardigrade Admin · Accepted Answer

Coefficient of mutual induction of two coils is equal to the number of magnetic flux

(ϕ)

linkages in one coil when a unit current

(i)

flows in the other.
Therefore,

M = \frac{ϕ}{i}

Given,

ϕ = 2 \times 1 0^{- 2} Wb, i = 0.01 A

∴ M = \frac{2 \times 1 0 ^{- 2}}{0.1} = 2 H

Q. The coefficients of mutual inductance when magnetic flux changes by 2×10−2Wb and current changes by 0.01A, will be

4 H

3 H

8 H

2 H

Coefficient of mutual induction of two coils is equal to the number of magnetic flux (ϕ) linkages in one coil when a unit current (i) flows in the other. Therefore, M=iϕ​ Given, ϕ=2×10−2Wb,i=0.01A ∴M=0.12×10−2​=2H

Q. The coefficients of mutual inductance when magnetic flux changes by $2 \times 1 0^{- 2} Wb$ and current changes by $0.01 A,$ will be

Coefficient of mutual induction of two coils is equal to the number of magnetic flux $(ϕ)$ linkages in one coil when a unit current $(i)$ flows in the other.
Therefore, $M = \frac{ϕ}{i}$
Given, $ϕ = 2 \times 1 0^{- 2} Wb, i = 0.01 A$
$∴ M = \frac{2 \times 1 0 ^{- 2}}{0.1} = 2 H$