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Question

The electric current in A.C. circuit is given by the relation i=3sinωt+4cosωt. The rms value of the current in the circuit in amperes is:

A
52
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B
52
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C
25
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D
12
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Solution

The correct option is A 52
AC current is expressed here as i=3sinωt+4cosωt
=5(35sinωt+45cosωt)
=5sin(ωt+ϕ)
where ϕ=tan143
Hence amplitude of AC current is 5 A.
Irms=I02
Thus, rms value of AC current is 52 A

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