JEE MAIN - Physics (2013 (Offline) - No. 15)
The supply voltage to room is $$120V.$$ The resistance of the lead wires is $$6\Omega $$. A $$60$$ $$W$$ bulb is already switched on. What is the decrease of voltage across the bulb, when a $$240$$ $$W$$ heater is switched on in parallel to the bulb?
zero
$$2.9$$ Volt
$$13.3$$ Volt
$$10.04$$ Volt
Explanation
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Power of bulb $$=60W$$ $$\left( {given} \right)$$
Resistance of bulb $$ = {{120 \times 120} \over {60}} = 240\Omega $$
$$\left[ {\,\,} \right.$$ $$\left. {\,P = {{{V^2}} \over R}\,} \right]$$
Power of heater $$=240W$$ (given)
Resistance of heater $$ = {{120 \times 120} \over {240}} = 60\Omega $$
Voltage across bulb before heater is switched on,
$${V_1} = {{240} \over {246}} \times 120 = 117.73\,\,$$ volt
Voltage across bulb after heater is switched on,
$${V_2} = {{48} \over {54}} \times 120 = 106.66$$ volt
Hence decrease in voltage
$${V_1} - {V_2} = 117.073 - 106.66 = 10.04$$ Volt (approximately)
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