Question

If current i1 = 3a sin t and i2 = 4a cos wt then i3 is

Answer 1

Answer:

Answer to this question is

Explanation:

According to Junction Rule,

According to Junction Rule,I3= I1+ I2

According to Junction Rule,I3= I1+ I2 = 3A sin wt + 4A cos wt

According to Junction Rule,I3= I1+ I2 = 3A sin wt + 4A cos wt = 5A (3/5 sin wt + 4/5 cos wt) [Multiplying and Dividing with 5]

According to Junction Rule,I3= I1+ I2 = 3A sin wt + 4A cos wt = 5A (3/5 sin wt + 4/5 cos wt) [Multiplying and Dividing with 5] = 5A (cos 53o sin wt + sin 53o cos wt) [cos 53o = 3/5 and sin 53o = 4/5]

According to Junction Rule,I3= I1+ I2 = 3A sin wt + 4A cos wt = 5A (3/5 sin wt + 4/5 cos wt) [Multiplying and Dividing with 5] = 5A (cos 53o sin wt + sin 53o cos wt) [cos 53o = 3/5 and sin 53o = 4/5] = 5A sin (wt+53o) [sin (A+B) = sin A cos B + cos A sin B]

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