Solveeit Logo

Question

Question: A pair of adjacent coils has a mutual inductance of 2.5 H. If the current in one coil changes from 0...

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

Answer

100 Wb

Explanation

Solution

Given , M=2.5H,dIdt=4000.8=50As1M = 2.5H,\frac{dI}{dt} = \frac{40 - 0}{0.8} = 50As^{- 1}

Also, ε=MdIdt=dφdt\varepsilon = M\frac{dI}{dt} = \frac{d\varphi}{dt}

Or dφ=MdI=2.5(400)=100Wbd\varphi = MdI = 2.5(40 - 0) = 100Wb