First slide

Inductance

Question

If in a coil rate of change of area is 5 m²/milli second and current become 1 amp from 2 amp in $2 \times 10^{- 3} \sec .$ If magnitude of field is 1 tesla then self inductance of the coil is

Moderate

A

2 H
B

5 H
C

20 H
D

10 H

Solution

$\begin{array}{l} Nϕ = Li \Rightarrow \frac{Ndϕ}{dt} = \frac{Ldi}{dt} \Rightarrow NB \frac{dA}{dt} = \frac{Ldi}{dt} \\ \Rightarrow \frac{1 \times 1 \times 5}{10^{- 3}} = L \times (\frac{2 - 1}{2 \times 10^{- 3}}) \Rightarrow L = 10 H \end{array}$

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