
Can the potential difference across a battery be greater than its emf?
Answer
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Hint: If the electric potential difference between two locations is 1 volt, then one Coulomb of charge will gain 1 joule of potential energy when moved between those two locations. Because electric potential difference is expressed in units of volts, it is sometimes referred to as the voltage.
Complete step-by-step answer:
In 1st case :The battery is discharging.
let us assume that the battery is discharging,
So the emf of the battery is E, and the potential difference is V
Assume that the internal resistance is r
According to the case the battery is discharging,
So, the potential difference across the battery is,
Here we can say the potential difference is surely less than emf
In the 2nd case:The battery is charging.
The current flow through the lower end to higher end
So we can say the potential difference is,
Here we can see the potential difference is greater than emf.
So, the answer is when the battery is charging the potential difference can be greater than emf.
Note: The voltage or electric potential difference across the terminals of a cell when no current is drawn from it. The electromotive force (emf) is the sum of the electric potential differences produced by a separation of charges (electrons or ions) that can occur at each phase boundary (or interface) in the cell.
Complete step-by-step answer:
In 1st case :The battery is discharging.
let us assume that the battery is discharging,
So the emf of the battery is E, and the potential difference is V
Assume that the internal resistance is r
According to the case the battery is discharging,
So, the potential difference across the battery is,
Here we can say the potential difference is surely less than emf
In the 2nd case:The battery is charging.
The current flow through the lower end to higher end
So we can say the potential difference is,
Here we can see the potential difference is greater than emf.
So, the answer is when the battery is charging the potential difference can be greater than emf.
Note: The voltage or electric potential difference across the terminals of a cell when no current is drawn from it. The electromotive force (emf) is the sum of the electric potential differences produced by a separation of charges (electrons or ions) that can occur at each phase boundary (or interface) in the cell.
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