The voltage applied to a circuit is $$100\sqrt2\cos\left(100\mathrm{πt}\right)$$ volts and the circuit draws a current of $$10\sqrt2\;\sin\left(100\mathrm{πt}+\mathrm\pi/4\right)$$ amperes. Taking the voltage as the reference phasor, the phasor representation of the current in amperes is

An RLC circuit with relevant data is given below. The power dissipated in the resistor R is

An RLC circuit with relevant data is given below. The current $${\underline I}_C$$ in the figure above is

In the circuit given below, the value of R required for the transfer of maximum power to the load having a resistance of 3 Ω is