Current in electric circuit

Question

Answer 1

(1)

Step 1:

Observe the circuit has 3 loops.

Let the current flowing through the left most loop is i₁.

Let the current flowing through the right most loop is i₂.

Let the current flowing through the top most loop is i₃.

Apply KVL to left most loop.

Apply KVL to right most loop.

Apply KVL to top most loop.

Solve the equations (1),(2) and (3).

So the current flowing through the top most loop .

Solution :

The current flowing through the top most loop is .

Answer 2

(2)

Step 1:

Find the current through the resistor R₃.

Use the results from (1).

The current through the resistor R₃ :

The current through the resistor R₃ is .

Solution :

The current through the resistor R₃ is .