# In a coil of resistance 10$\Omega$, the induced current developed by changing magnetic flux through it, is shown in figure as a function of time. The magnitude of change in flux through the coil in weber is: Option 1) 8 Option 2) 2 Option 3) 6 Option 4) 4

P Plabita

Induced Charge -

$dq= i.dt= \frac{-N}{R}\frac{d\phi }{dt}.dt$

$dq= \frac{-N}{R}d\phi$

- wherein

Induced Charge time independent

$\Delta \Phi =R.\Delta q$

$\Delta q=$ Amount of charge passes through the coil

$\Delta q=$ Area under graph=$\frac{1}{2}\times 4\times 0.1=0.2\ c$

$\therefore \Delta \Omega =10\times 0.2 wb=2wb$

Option 1)

8

This is incorrect option

Option 2)

2

This is correct option

Option 3)

6

This is incorrect option

Option 4)

4

This is incorrect option

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