Question

In the electric circuit shown below, the current passing through the 2.0 Ω resistor is 3.0 A Then find value of EMF of battery.

Answer 1

Given :  electric circuit  current passing through the 2.0 Ω resistor is 3.0 A

To Find : value of EMF of battery.

Solution:

Current flowing through 2 Ω resistance i 3 A

Potential Difference across  2 Ω resistor  = 2 * 3 = 6 V

Potential Difference across  6 Ω resistor  & 3 Ω resistor  is also 6V

as in Parallel

Current flowing though 6 Ω resistor = 6/6 = 1 A

Current flowing though 6 Ω resistor = 6/3 = 2 A

Total Current flowing through = 3 + 1 + 2  = 6A

To find value of EMF of battery resistance of 4th resistor should be known

let say R

E  = 6 +  6R    

E = EMF of Batter  ( internal resistance of batter ignored)

E  = 6 +  6R      

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