GATE EC 2010 Question Paper (14-Feb-2010) (Shift 1)

Given $f\left(t\right)=L^{-1}\left[\frac{3s+1}{s^3+4s^2+s\left(k-3\right)}\right]$ if $\underset{t\to \infty }{\lim }f\left(t\right)=1$, then the value of k is

In the circuit shown, the switch S is open for a long time and is closed at t = 0. The current i(t) for t ≥ 0 is

The current I in the circuit shown is

In the circuit shown below, the power supplied by the voltage source is?

In a uniformly doped BJT, assume that N${}_E$, N${}_B$ and N${}_C$ are the emitter, base and collector doping in atoms/cm³, respectively. If the emitter injection efficiency of the BJT is close to unity, which one of the following conditions is TRUE?