Alternating Current – Solutions

1) A 100Ω resistor is connected to a 220 V, 50 Hz ac supply.

(a) What is the rms value of the current in the circuit?

(b) What is the net power consumed over a full cycle?

Solution:

Given

Resistance of resistor, R = 100Ω

Root mean square voltage, v_rms = 220 volt

Root mean square (rms) value of current, I_rms =?

(a) I_rms = V_rms/R

= 220/100 = 2.2 A