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 $\mathrm{\Delta \varphi}=\mathrm{\Delta QR}$

Where $\mathrm{\Delta Q}$ is charge that has passed through loop and R is loop resistance.

$\therefore \mathrm{\Delta \varphi}=\left(\frac{1}{2}\times base\times height\right)\times R=\left(\frac{1}{2}\times 20\times 2\right)\times 10=200\text{weber.}$

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