Question

find the value of the unknown resistance X in the following circuit if no current flows through the section a also calculate the current drawn by the circuit from the battery of EMF 6 volt and negligible internal resistance CBSE OD 02​

Answer 1

Answer:

R = 6 ohms

Explanation:

Given Data:

R1 = 2 ohm

R2 = 4 ohm

R3 = 3 ohm

                       Solution

R1 / R2 = R3 / Y

Y = R3 x R2 / R1

By putting the values in above equation:

Y = 3 x 4 / 2

Y = 6 ohms

Ra = 6 ohms

Rb = 3 + 6 = 9 ohms

As Ra and Rb are anti-parallel

1/ Ro = 1/6 + 1/9

1/ Ro = 3 + 2/18

Ro = 18/5 = 3.6 ohms

R = 3.6 + 2.4 = 6 ohms

The resistance of an unknown resistance will be 6 ohms.