In a coil of resistance 100Ω , a current is induced by changing the...

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

Options

A $275Wb$
B $200Wb$
C $225Wb$
D $250Wb$

Correct answer

D. $250Wb$

Step-by-step solution

Emf = iR ⇒ - \dfrac{dϕ}{dt} = iR

<br /><br />

∫ \left(- dϕ\right) = ∫ ( idt )R

<br /><br />

q = \dfrac{\Deltaϕ}{R} = \text{Area under}i - t\text{graph}

<br /><br />

⇒ ∆ ϕ = \left(\dfrac{1}{2} \times 10 \times 0 . 5\right) \times 100 = 250Wb

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