Q.
If i1=3 sin ωt and i2=4 cos ωtt,then i3 is
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a
5 sinωt+530
b
5 sinωt+370
c
5 sinωt+450
d
5 sinωt+430
answer is A.
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Detailed Solution
i3=i1+i2=3 sin ωt+4 cosωt=3sinωt+4sinωt+900i30=i102+i202=32+42=5tanϕ=43⇒ϕ=530So i3=i30 sinωt+ϕ=5 sinωt+530
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