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Question

Question: In a coil of self inductance 0.5 henry, the current varies at a constant rate from zero to 10 ampere...

In a coil of self inductance 0.5 henry, the current varies at a constant rate from zero to 10 amperes in 2 seconds. The e.m.f. generated in the coil is

A

10 volts

B

5 volts

C

2.5 volts

D

1.25 volts

Answer

2.5 volts

Explanation

Solution

ΔiΔt=102=56muA/sec\frac{\Delta i}{\Delta t} = \frac{10}{2} = 5\mspace{6mu} A/\sece=LΔiΔt=0.5×5=2.56muvoltse = L\frac{\Delta i}{\Delta t} = 0.5 \times 5 = 2.5\mspace{6mu} volts