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 1999]

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{1.5}{1}=1.5A $ Hence total current from the cell $ i=3+1.5=4.5A $ By using $ E=V+ir $

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