Consider the two-port network shown. For maximum power transfer to the resistive load $\left(R_L\right)$, the value of $R_L$ should be $\_\_\_\_$ $\Omega$. (Round off to two decimal places)

For the circuit shown, if $$i = \sin 1000t$$, the instantaneous value of the Thevenin's equivalent voltage (in Volts) across the terminals a-b at time t = 5 ms is __________ (Round off to 2 decimal places).

For the network shown, the equivalent Thevenin voltage and Thevenin impedance as seen across terminals 'ab' is

A benchtop dc power supply acts as an ideal 4 A current source as long as its terminal voltage is below 10 V. Beyond this point, it begins to behave as an ideal 10 V voltage source for all load currents going down to 0 A. When connected to an ideal rheostat, find the load resistance value at which maximum power is transferred, and the corresponding load voltage and current.