Q. In a coil of resistance $100 , Omega$, a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is :

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In a coil of resistance $100 , Omega$, a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is :

Solution:

$varepsilon = frac{dphi}{dt}$

$ iR = frac{dphi}{dt} $

$int dphi = R int idt $

Magnitude of change in flux = R $times$ area under current vs time graph

$ = 100 times frac{1}{2} times frac{1}{2} times 10$

$= 250 , Wb$