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A cell to emf. E and internal resistance...

A cell to emf. E and internal resistance r supplies currents for the same time t through external resistance`R_1 and R_2` respectively. If the heat produced in both cases is the same, then the internal resistance is given by :

A

`1/r=1/R_1+1/R_2`

B

`r=(R_1+R_2)/2`

C

`r=sqrt(R_1R_2)`

D

`r=R_1+R_2`

Text Solution

AI Generated Solution

To solve the problem, we need to determine the internal resistance \( r \) of a cell given that it supplies current through two different external resistances \( R_1 \) and \( R_2 \) for the same time \( t \), and that the heat produced in both cases is the same. ### Step-by-Step Solution: 1. **Understanding Heat Produced**: The heat produced in a resistor when a current flows through it is given by the formula: \[ H = I^2 R t ...
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