First slide

Magnetic flux and induced emf

Question

Due to change in magnetic flux linked with a coil of resistance 10 ohm, a current is induced in it. The variation of induced current i in amperes) with time t (in seconds) is shown in figure. The magnitude of change in flux through the coil (from t = 0 to t = 2 seconds) in Webers is:

Moderate

Solution

Change in flux $Δϕ = ΔQR$
Where $ΔQ$ is charge that has passed through loop and R is loop resistance.
$∴ Δϕ = (\frac{1}{2} \times b a s e \times h e i g h t) \times R = (\frac{1}{2} \times 20 \times 2) \times 10 = 200 weber.$

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