A 100 W resistor is connected to a 220 V, 50 Hz ac supply. (a) What is the rms value of current in the circuit? (b) What is the net power consumed over a full cycle?The values of resistor is 100 Ω and the supply voltage is 100 V.
(a) The RMS current is given as, I= V R
Where, the supply voltage is V and the value of resistor is R.
By substituting the given values in the above equation, we get, I= 220 100 =2.2 A
Thus, the value of RMS current in the conductor is 2.2 A.
(b) Power consumed over a full cycle is given as, P=VI
Where, the supply voltage is V and the RMS current is I.
By substituting the given values in the above equation, we get P=220×2.2 =484 W Thus, power consumed over a full cycle is 484 W.