GATE IN 2012 Question Paper (12-Feb-2012) (Shift-2)

The average power delivered to an impedance $(4-j3)\Omega$ by a current $5\cos (100\pi t+100)$ A is

In the circuit shown below, the current through the inductor is

In the following figure, $C_1$ and $C_2$ are ideal capacitors. $C_1$ has been charged to 12 V before the ideal switch $S$ is closed at $t=0$. The current $i(t)$ for all $t$ is

The impedance looking into nodes 1 and 2 in the given circuit is

The $i-v$ characteristics of the diode in the circuit given below are

$i=\{\begin{array}{ll}\frac{v-0.7}{500}\text{ A,}& v\ge 0.7\text{ V}\\ 0\text{ A,}& v<0.7\text{ V}\end{array}$



The current in the circuit is