Voltage current

Question

Answer 1

(1)

Step 1:

Observe the circuit.

The resistors and are in parallel.

The equivalent resistance is .

Substitute and .

.

The resistors and are in parallel.

The equivalent resistance is .

Substitute and .

.

Step 2:

Redraw the circuit replacing the resistors by and .

The current passing through the resistor is .

Since and are in series, the current flowing the resistor is same.

Equivalent series resistance is .

Equivalent series resistance is .

Voltage applied to the circuit, voltage across and are equal, since they are connected in parallel.

.

Voltage drop across is .

Therefore, voltage applied to the circuit is 40 V.

Solution:

Voltage applied to the circuit is 40 V.

Answer 2

(2)

Step 1:

Find the current  passing through the resistor .

Observe the equivalent circuit.

Find the voltage drop across the resistor .

Voltage drop across aross  is .

Voltage drop across aross  is .

 is the parallel combination of  and .

Since  and  are in parallel, the current flowing through  is .

.

Therefore current passing through the resistor  is .

Step 2:

Find the current  passing through the resistor .

The current flowing through  is .

.

Therefore current passing through the resistor  is .

Solution :

Current passing through the resistor  is .

Current passing through the resistor  is .

Answer 3

(3)

Step 1:

Find the current passing through the resistor .

Find the voltage drop across the resistor is .

is the parallel combination of and .

Since and   are in parallel, the current flowing through is .

.

Therefore current passing through the resistor is .

Step 2:

The current flowing through is .

.

Therefore current passing through the resistor is .

Solution :

Current passing through the resistor is .

Current passing through the resistor is .