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Current Electricity

Question
CBSEENPH12037557

Calculate the current drawn from the battery in the following network.


Solution

Emf of the circuit = 4 V
Resistors 1Ω, 5Ω and 4 Ω are in series.
 equivalent resistance, R1 = 1+5+4 = 10 Ω 

Now,
10Ω , 12 Ω and 2Ω are in parallel. 

Effective resistance =  12×1012+10 = 5.45 Ω 

5.45 and 2 are also in parallel.  

Therefore,
                  5.45×25.45+2= 1.46 Ω 

Using ohm's law,
                           V = IR 
This implies,
Current drawn from the circuit, I = VR = 41.46= 2.74 A