In the circuit shown in the figure, the maximum power (in watt) delivered to the resistor R is _________.

Consider a two-port network with the transmission matrix: T = $$\begin{bmatrix}A&B\\C&D\end{bmatrix}$$. If the network is reciprocal, then

An AC voltage source V = 10 sin(t) volts is applied to the following network. Assume that R₁ = 3 kΩ, R₂ = 6 kΩ and R₃ = 9 kΩ and that the diode is ideal.

RMS current I_rms (in mA) through the diode is _________.

Consider the sequence
$$x\left[ n \right]$$= $${a^n}u\left[ n \right] + {b^{\partial n}}u\left[ n \right]$$ , where u[n] denotes the unit step sequence and 0<$$\left| a \right| < \left| b \right| < 1.$$
The region of convergence (ROC) of the z-transform of $$\left[ n \right]$$ is