Q.

An electric lamp, whose resistance is 20 Ω, and a conductor of 4 Ω resistance are connected to a 6 V battery in series. Calculate the potential difference across the electric lamp.

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a

1 V 

b

 2 V 

c

4 V

d

8 V

answer is A.

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Detailed Solution

Applying Ohm’s law,

The electric lamp and conductor will have separate potential differences as the connection is series.

V = 6 V

R1 = 20 Ω; R2 = 4 Ω 

Equivalent Resistance, Rs = R1 + R2 = 20 + 4 = 24 Ω

The current through the circuit is given by:
I = V/Rs = 6V / 24 = 0.25 A

 
Potential across the lamp, V1 = 20 Ω × 0.25 A = 5 V
Potential across the conductor, V2 = 4 Ω × 0.25 A = 1V

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An electric lamp, whose resistance is 20 Ω, and a conductor of 4 Ω resistance are connected to a 6 V battery in series. Calculate the potential difference across the electric lamp.