# An average voltage of 40 V is induced in a 1000 turn coil due to a change in flux which occurs in 0.5 seconds. The total flux change in webers is

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An average voltage of 40 V is induced in a 1000 turn coil due to a change in flux which occurs in 0.5 seconds. The total flux change in webers is
1. 0.02
2. 0.05
3. 0.01
4. 0.04

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Correct Answer - Option 1 : 0.02

Concept:

The average value of the induced emf across the coil is

$E = N\frac{{dϕ }}{{dt}}$ ...(1)

Where,

E = Induced emf in volt

N = number of turns of the coil

ϕ = Total flux in webers

Calculation:

Given,

E = 40 V, t = 0.5 s, N = 1000

From equation (1),

${40 = 1000 \times \frac{{dϕ }}{0.5}}$

$dϕ = \frac{{40 \times 0.5}}{{1000}}$

dϕ = 0.02 weber