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A 100 Omega resistor is connected to a 2...

A `100 Omega` 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?

Text Solution

Verified by Experts

Given, resistnace, R = 100 `Omega`
rms value of the voltage, `E_(rms)` = 220 V
Frequency, f = 50 Hz
(a) rms value of current in the circuit is
`I_(rms) = (E_(rms))/(R)`
`rArr " " I_(rms) = (220)/(100) = 2.2 A`
(b) Average power consumed over full cycle is
` P_(av) = E_(rms)I_(rms)`
= `220 xx 2.2`
`P_(av) `= 484 W
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