A pair of adjacent coils has a mutual inductance of 2.5 H If the current in one coil changes from 0 to 40 A in 0.8 s, then the change in flux linked with the other coil is

Question

A pair of adjacent coils has a mutual inductance of 2.5 H If the current in one coil changes from 0 to 40 A in 0.8 s, then the change in flux linked with the other coil is (A) 100 Wb (B) 120 Wb (C) 200 Wb (D) 250 Wb

Tardigrade Admin · Accepted Answer

Given, M=2.5 H, (dI/dt)=(40-0/0.8)=50As-1 Also, ε=M (dI/dt)=(dφ/dt) or dφ=MdI=2.5(40-0) =100 Wb

Q. A pair of adjacent coils has a mutual inductance of $2.5 H$ If the current in one coil changes from $0$ to $40 A$ in $0.8 s$ , then the change in flux linked with the other coil is

$100 Wb$

$120 Wb$

$200 Wb$

$250 Wb$

Given, $M = 2.5 H, \frac{d I}{d t} = \frac{40 - 0}{0.8} = 50 A s^{- 1}$
Also, $ε = M \frac{d I}{d t} = \frac{d ϕ}{d t}$
or $d ϕ = M d I = 2.5 (40 - 0)$
$= 100 Wb$

Q. A pair of adjacent coils has a mutual inductance of 2.5H If the current in one coil changes from 0 to 40A in 0.8s, then the change in flux linked with the other coil is

100Wb

120Wb

200Wb

250Wb