Alternating circuit

In an alternating circuit, the total voltage V is given by V=V1 +V2
If V=(12.2+6.8i) V and V1=(7.8-2.5i) V, find the voltage V2.

Correct answer:

V2 = V 4.4+9.3i

Step-by-step explanation:

V=V1 +V2 V=12.2+6.8i  V V1=7.82.5i  V  V2=VV1 V2 = 12.2+6.8i(7.82.5i) V2 = 12.2+6.8i7.8+2.5i V2=4.4+9.3i

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