- #1
Enochfoul
- 54
- 2
Homework Statement
Two alternating currents i1 and i2 flow into a circuit node,the output current i is given by i1 + i2.
Calculate the amplitude of i and the first time it occurs.
i1=5sin(50t +Pi/3)
i2=6cos50t
Homework Equations
The Attempt at a Solution
5 sin ( 50t +60˚)
= 5 ( sin 50t cos60˚ + sin60˚cos50t )
= 2.5 sin 50t + 4.33 cos 50t
2.5 sin 50t + 4.33 cos 50t + 6 cos 50t
i1+i2 = 2.5 sin 50t +10.33 cos 50t
R² = 2.5²+10.33²
R = √113
= 10.6
arctan 10.33 / 2.5 = 33.8˚
so i = 10.6 and occurs when 50t = 33.8˚
Does this look right?