Current Electricity Charging Discharging Of Capacitors Question 125

Question: The wiring of a house has resistance $ 6,\Omega . $ A 100 W bulb is glowing. If a geyser of 1000 W is switched on, the change in potential drop across the bulb is nearly

[MNR 1998]

Options:

A) Nil

B) 23 V

C) 32 V

D) 12 V

Show Answer

Answer:

Correct Answer: B

Solution:

$ R _{Bulb}=\frac{220^{2}}{100}=484\Omega $ , $ R _{Geyser}=\frac{220^{2}}{1000}=48.4\Omega $ (i) When only bulb is ON, $ V _{Bulb}=\frac{220\times 484}{490}=217.4,V $ (ii) When geyser is also switched ON, equivalent resistance of bulb and geyser is $ R=\frac{484\times 48.4}{484+48.4}=44,\Omega $ Voltage across the bulb $ V _{Bulb}=\frac{220\times 44}{50}=193.6,V $ Hence the potential drop is $ 217.4-193.6=23.8V $