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A storage battery with emf E = 2.6 V l...

A storage battery with `emf E = 2.6 V` loaded with an external resistance produces a current `I = 1.0 A`. In this case the potential difference between the terminals of the storage battery equals `V = 2.0 V`. Find teh thermal power generated in the battery and the power develop in it electric forces.

Text Solution

Verified by Experts

Let, internal of the cell be `r`, then
`V = xi - ir` ....(1)
where `i` is the current in the circuit. We know that internal power generated in the battery.
`Q = i^(2) r` ...(2)
Putting `r` from (1) and (2), we obtain,
`Q = (xi - V) i = 0.6 W`
In a battery work is done by electric forces (whose origin lies in the chemical processses going on inside the cell). The work so done is stored and used in the electric circuit outside. Its magnitude just equals the power used in the electric cirucit. We can say that net power develop by the electric forces is
`P = -IV = -2 0W`
Minus sign means that this is generated not consumed.
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