0

Guest

Courses New

A cell of emf e and internal resistance r supplies currents for the same time t through external resistances R1 and R2 respectively. If the heat produced in both the cases is the same, then the internal resistance is

A cell of emf e and internal resistance r supplies currents for the same time t  through external resistances R1 and R2 respectively. If the heat produced in both the cases is the same, then the internal resistance is

Grade:10

1 Answers

Eshan
askIITians Faculty 2095 Points
5 years ago
Dear student,

Current in a circuit of resistanceRand internal resistancerisI=\dfrac{E}{R+r}
Power dissipated through the resistor=I^2R=\dfrac{E^2R}{(R+r)^2}

Hence heat dissipated=I^2Rt=\dfrac{E^2R}{(R+r)^2}t

Since the power dissipated is same in both cases,

\dfrac{E^2R_1}{(R_1+r)^2}t=\dfrac{E^2R_2}{(R_2+r)^2}t
\implies r=\sqrt{R_1R_2}

Think You Can Provide A Better Answer ?

Other Related Questions on Electric Current

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More