In the circuit shown below, V_s is a constant voltage source and I_L is a constant current load

The value of I_L that maximizes the power absorbed by the constant current load is

The switch has been in position 1for a long time and abruptly changes to position 2 at t = 0. If time t is in seconds, the capacitor voltage V_C (in volts) for t>0 is given by

In the given circuit, each resistor has a value equal to 1 Ω.

What is the equivalent resistance across the terminals a and b?

The energy of the signal x(t) =$${{\sin (4\pi t)} \over {4\pi t}}$$ is ___________.