Current Electricity Charging Discharging Of Capacitors Question 454

Question: A resistor $ R _{1} $ dissipates the power P when connected to a certain generator. If the resistor $ R _{2} $ is put in series with $ R _{1} $ , the power dissipated by $ R _{1} $

[CPMT 1985; MNR 1998]

Options:

A) Decreases

B) Increases

C) Remains the same

D) Any of the above depending upon the relative values of $ R _{1} $ and $ R _{2} $

Show Answer

Answer:

Correct Answer: A

Solution:

Equivalent resistance in the second case $ =R _{1}+R _{2}=R $ Now, we know that $ P\propto \frac{1}{R} $ Since in the second case the resistance $ (R _{1}+R _{2}) $ is higher than that in the first case (R1).

Therefore power dissipation in the second case will be decreased.