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 _________.

The damping ratio of a series $$RLC$$ circuit can be expressed as

In the given circuit, the maximum power (in Watts) that can be transferred to the load R_L is ___________________.

In the circuit shown, the current $${\rm I}$$ flowing through the $$50\,\Omega $$ resistor will be zero if the value of capacitor C (in $$\mu F$$) is ________ .