Voltage and current

Question

Answer 1

(1)

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 resistance comes in series with the resistors and .

Resultant resistance is .

Substitute corresponding values in the above expression.

.

Total resistance of the circuit is .

Find the resultant of and .

Resultant resistance is .

.

Resultant resistance is .

Find the total current passing through the circuit.

Ohms law: .

.

Substitute and in the above expression.

Step 2:

Find the voltage drop across .

.

.

Find voltage across the parallel network   consisting resistors and .

.

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

.

Solution:

Voltage drop across resistor is .

Answer 2

(2)

Step 1:

Find the current passing through the resistor .

Use current division rule to find .

Substitutue corresponding values in the above expression.

Current passing through the resistor is .

Solution:

.