Question

A100 ohm resistor is connected to 220v 50hz ac supply. What is the rms value of current in the circuit and what is net power consumed over full cycle.

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Answer 1

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Answer 2

Answer:

i(rms)=

2

i

i = \frac{220}{100} = 2.2 \: amperei=

100

220

=2.2ampere

i(rms) = \frac{2.2}{ \sqrt{2} }i(rms)=

2

2.2

i(rms) = 1.55 \: amperei(rms)=1.55ampere

(ii) In a purely resistive circuit, the phase difference between current and voltage is 0

Since,

p = i(rms) \times v(rms) \times \cos( \alpha )p=i(rms)×v(rms)×cos(α)

So,

p = i(rms) \times v(rms) \times 1p=i(rms)×v(rms)×1

p = \frac{i}{ \sqrt{2} } \times \frac{v}{ \sqrt{2} }p=

2

i

×

2

v

p = 2.2 \times 220p=2.2×220

p = 484 \: wattp=484watt