Electro Magnetic Induction And Alternating Currents Question 159

Question: If i1=3,sin,ωt and i2=4,cos,ωt , then i3 is

Options:

A) 5,sin,(ωt+53o)

B) 5,sin,(ωt+37o)

C) 5,sin,(ωt+45o)

D) 5,cos,(ωt+53o)

Show Answer

Answer:

Correct Answer: A

Solution:

  • i3=i1+i2=3,sin,ωt+4,cos,ωt

    =5sin,(ωt+ϕ) ,

    where tanϕ=34 or ϕ=53o



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