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In the circuit shown in figure, the emfs...

In the circuit shown in figure, the emfs of batteries are `E_1`, and `E_2` which have internal resistances `R_1`, and `R_2`. At what value of the resistance `R` will the thermal power generated in it be the highest? What it is?

Text Solution

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`R = (R_(1)R_(2))/(R_(1) + R_(2))`
`P_(max) = ((E_(1)R_(2) + E_(2)R_(1))^(2))/(4R_(1)R_(2)(R_(1)+r_(2)))`
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