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

Options

A. a resistance of `2Omega`
B. a battery of emf 6 V
C. an inductance of 2 H
D. a capacitance of 0.5 F

Answer

D

Explanation

For a capacitor, `i=((dq)/(dt))=C.((dV)/(dt))`
i.e., I = constant, if `(dV)/(dt)` = constant
`therefore` Capacitance, `C=(i)/(((dV)/(dt)))=(1)/(2)=0.5F`