Solved Problems-4

Problems-4
Find the current i0 using superposition theorem.
Solution
1. When voltage source is acting alone
The current in this case is,

(i) Voltage source acting alone   (ii) Current source acting alone

When current source is acting alone

In this case, the current is,

âˆ´ By superposition theorem, total current is,

1. When dc source is acting alone
Equivalent impedance,

âˆ´ main current,

(i) dc source acting alone    (ii) ac source acting alone

âˆ´ the current,

When ac source is acting alone
Equivalent impedance,

âˆ´ main current,

âˆ´ the current,

âˆ´ by superposition theorem, total current is,
1. When the voltage source is acting alone
Equivalent impedance,

(i) Voltage source acting alone

âˆ´ main current,

âˆ´ The current,

When current source is acting alone

Since

âˆ´ The current,

âˆ´ By superposition theorem, total current is,