a. State the relationship between the peak current I₀ and the r.m.s. current I_rms for a sinusoidally varying current.
b. The current in a resistor connected to a steady d.c. supply is 2.0 A. When the same resistor is connected to an a.c. supply, the current in it has a peak value of 2.0 A. The heating effects of the two currents in the resistor are different.
i. Explain why the heating effects are different and state which heating effect is the greater.
ii. Calculate the ratio of the power dissipated in the resistor by the d.c. current to the power dissipated in the resistor by the a.c. current.