Current Electricity Charging Discharging Of Capacitors Question 486

Question: Resistances $ R _{1} $ and $ R _{2} $ are joined in parallel and a current is passed so that the amount of heat liberated is $ H _{1} $ and $ H _{2} $ respectively. The ratio $ \frac{H _{1}}{H _{2}} $ has the value

[MP PMT 1994]

Options:

A) $ \frac{R _{2}}{R _{1}} $

B) $ \frac{R _{1}}{R _{2}} $

C) $ \frac{R _{1}^{2}}{R _{2}^{2}} $

D) $ \frac{R _{2}^{2}}{R _{1}^{2}} $

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Answer:

Correct Answer: A

Solution:

Heat produced $ H=\frac{V^{2}t}{4.2R}=H\propto \frac{1}{R} $ Hence $ \frac{H _{1}}{H _{2}}=\frac{R _{2}}{R _{1}} $