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CIrcuit questions

Question

A circuit element is placed in a closed box. At time t = 0, a constant current generator supplying a current of 1A is connected across the box. Potential difference across the box varies according to the graph shown in figure. The element in the box is

Moderate

A

a $2 Ω$ resistor
B

a battery of emf 6v
C

on inductance of 2H
D

a capacitance of 0.5F

Solution

For a capacitor, $V = \frac{Q}{C} = \frac{\int_{0}^{t} I dt}{C} = \frac{It}{C} ∴ C = \frac{It}{V} = \frac{1 \times 3}{(8 - 2)} F = 0 .5 F$

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