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Question: A circuit element is placed in a closed box. At time t = 0, a constant current generator supplying a...

A circuit element is placed in a closed box. At time t = 0, a constant current generator supplying a current of I amp is connected across the box. Potential diff. across the box varies according to graph as shown in the figure. The element in the box is-

A

A resistance of 2W

B

A battery of emf 6V

C

An inductance of 2H

D

A capacitance

Answer

A capacitance

Explanation

Solution

I = dqdt\frac{dq}{dt}

q = it + a

V = qc\frac{q}{c}

V = it+ac\frac{it + a}{c}

\ V is proportional to time.