Step 1:

Redraw the circuit using source transformation.

Find the total resistane of the circuit.

Observe the circuit,

The resistors and are in parallel.

Resultant resistance is .

Resultant resistance of the circuit is .

Above resistancecomes in series with the resistors and .

Resultant resistance is .

Substitute corresponding values in the above expression.

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Total resistance of the circuit is .

Find the voltage drop across the resistors and .

Resultant resistance is .

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Resultant resistance is .

Find the total current passing through the circuit.

Ohms law: .

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Substitute and in the above expression.

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Find the voltage drop across .

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Find voltage across the parallel network   consisting resistors and .

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Since the voltage drop across the parallel resistors is same, then .

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Step 2:

Find the current passing through the resistor .

Use current division rule to find .

Current passing through the resistor is.

Solution:

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