Total Resistance

Question

Answer 1

(1)

Step 1:

Observe the circuit.

The resistors and are in series.

Resultant resistance is .

Substitute and in above expression.

Resultant series resistance is .

Resultant resistance is in parallel with .

Therefore, Resultant resistance is .

Substitute and in above expression.

Total resistance of the circuit is .

Solution :

Total resistance of the circuit is .

Answer 2

(2)

Step 1:

The  is connected in parallel with source of .

Voltage across the elements connected in parallel connection is same.

Thus, the voltage through the resistor  is .

Ohms law: .

Find the current passing through the resistor .

Current passing through the resistor  is .

Solution:

Current passing through the resistor  is .

Answer 3

(3)

Step 1:

Resultant series resistance of  and  is .

Voltage passing through the  is also .

Find the current through the resistance .

Ohms law: .

Substitute  and  in .

. 

Since  and   are in series, then current passing through the resistor  and  is same. 

Current through the resistance  is .

Solution:

Current through the resistance  is .

Answer 4

(4)

Step 1:

Find the total curent passing through the circuit.

From the results of (2) and (3), and .

Total curent passing through the circuit is .

Solution:

Total curent passing through the circuit is .