Current Electricity Charging Discharging Of Capacitors Question 139

Question: A torch bulb rated as 4.5 W, 1.5 V is connected as shown in the figure. The e.m.f. of the cell needed to make the bulb glow at full intensity is

[MP PMT 2000]

Options:

A) 4.5 V

B) 1.5 V

C) 2.67 V

D) 13.5 V

Show Answer

Answer:

Correct Answer: D

Solution:

Current in the bulb $ =\frac{P}{V}=\frac{4.5}{1.5}=3A $ Current in 1 W resistance $ =\frac{V^2}{P}=\frac{1.5^2}{1}=2.25A $ Hence total current from the cell $ i=3+2.25=5.25A $ By using $ E=V+ir $

Therefore $ E=1.5+4.5\times (2.67)=13.5V $



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