GATE EC question library

The value of the resistance, $R$, connected across the terminals, $A$ and $B$, which will absorb the maximum power, is

If $L[f(t)]=\frac{2(s+1)}{s^{2}+2 s+5}$ then $f(0+)$ and $f(\infty)$ are given by [Note : 'L' stands for 'Laplace Transform of']

The $\text{RMS}$ value of a rectangular wave of period $T$, having a value of $+V$ for a duration, $T_1(<T)$ and $-V$ for the duration, $T-T_1=T_2$, equals

Two $2 \; \mathrm{H}$ inductance coils are connected in series and are also magnetically coupled to each other the coefficient of coupling being $0.1$. The total inductance of the combination can be

Consider a $\text{DC}$ voltage source connected to a series $\mathrm{R}-\mathrm{C}$ circuit. When the steady-state reaches, the ratio of the energy stored in the capacitor to the total energy supplied by the voltage source, is equal to

A $\text{DC}$ voltage source is connected across a series $\text{R-L-C}$ circuit. Under steady-state conditions, the applied $\text{DC}$ voltage drops entirely across the