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The electric current in AC circuit is given by the relation i-3 sinωt+4 cosωt. The rms value of the current in the circuit in ampere is
Options
(a) 5/√2
(b) 5√2
(c) √2/5
(d) 1/√2
Correct Answer:
5/√2
Explanation:
The current through the AC circuit is given by
i = 3 sin ωt + 4 cos ωt
The maximum value of current is
I(max) = √(3² + 4v) = √25 = 5 unit
The rms value of current, I(rms) = I(max) / √2 = (5 / √2) unit
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Topics: Alternating Current
(96)
Subject: Physics
(2479)
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