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If the emf of a battery is E Volt, the potential difference across a battery is given by
V = E -I r where I is the current in the circuit and r is the inetrnal resistance.

Hence E and V will be equal only when I = 0.

The maximum potential difference across the battery will be equal to E only if I = 0.

In gnereral potential difference can be equal or less than the emf.

E.m.f can never exceed the potential difference.
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A battery charger is a device used to put energy into a secondary cell or (rechargeable) batteryby forcing an electric current through it.

Hence to charge a battery another source of emf is needed.

The combined emf is now will be (E - E1) where E is the emf of the battey in quesiton and E 1 is the emf of the external source used to charge the battery.

Note that E-E1 will be negative in sign.

======================================...

A battery is charged only when its emf is less than its maximum emf.

Suppose that the maximum emf of a cell is 1.5V. The battery should be charged only when its emf is less than 1.5 V say 0.5 V.

To charge the cell we use a different source of emf E1 say 3V.

The positive of the second source is connected to the negative of the cell so that the
Combined emf is now 0.5 - 3 = -2.5V.

The negative sign indicates that the emf is opposite to the emf of the cell which is 0.5V.

Since the cell is getting charged, the difference in emf is gradually reduced to zero when the cell is fully charged.

In modern charging units there are provisions so that the cell is never allowed to be over charged, even if the charging unit is in on for about 12 hours.

When the cell is fully charged, (that is when the emf of the cell is now 1.5V), the potential difference between either the second source or cell will be zero.

Taking into consideration the sign of the emf and the direction of current through the cell and the sign of the potential difference, the potential difference will be always less than the emf of the cell (which gradually increases while charging).

Note that the potential difference is negative if the emf of the cell is taken as positive.

Also note that the cell is charged only when its emf is less than its maximum e.m.f

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10y ago
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5mo ago

Yes, the potential difference across a battery can be greater than its EMF when the battery is connected in a circuit and current is flowing through it. This can happen due to internal resistance within the battery that causes a voltage drop.

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Q: Can the potential difference across a battery be greater than its EMF?
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Is potential difference directly or inversely proportional to resistance?

Potential difference is directly proportional to resistance according to Ohm's Law. This means that as resistance increases, the potential difference across a component also increases, assuming the current remains constant.


Can terminal potential difference be greater than the emf supplied?

No, the terminal potential difference cannot be greater than the emf supplied. The emf represents the maximum potential difference that the cell or battery can provide, while the terminal potential difference is the actual potential difference across the terminals when a load is connected.


What are the differences between potential difference and emf?

Potential difference is the difference in electric potential energy between two points in a circuit, while electromotive force (emf) is the total energy provided per unit charge by a battery or voltage source. In other words, potential difference measures the voltage drop across a component in a circuit, while emf represents the energy per unit charge supplied by the source.


Is potential difference always less than emf of the cell?

Yes, potential difference across a cell is typically less than the electromotive force (emf) of the cell due to internal resistance and other factors affecting the flow of electric current. The emf represents the maximum voltage a cell can provide, while the potential difference takes into account the voltage drop caused by these internal resistances.


What is the potential difference in electricity?

Potential difference, also known as voltage, is the force that drives the flow of electric current in a circuit. It is measured in volts and represents the energy per unit charge available to a charge to move in an electric field. A higher potential difference leads to a greater flow of current in a circuit.

Related questions

What is the potential difference across the terminals of a battery?

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Is potential difference directly or inversely proportional to resistance?

Potential difference is directly proportional to resistance according to Ohm's Law. This means that as resistance increases, the potential difference across a component also increases, assuming the current remains constant.


Can terminal potential difference be greater than the emf supplied?

No, the terminal potential difference cannot be greater than the emf supplied. The emf represents the maximum potential difference that the cell or battery can provide, while the terminal potential difference is the actual potential difference across the terminals when a load is connected.


What are the differences between potential difference and emf?

Potential difference is the difference in electric potential energy between two points in a circuit, while electromotive force (emf) is the total energy provided per unit charge by a battery or voltage source. In other words, potential difference measures the voltage drop across a component in a circuit, while emf represents the energy per unit charge supplied by the source.


Why does a battery work?

A battery s a source of constant potential difference , this potential difference drives the electrons present in the wire and this constitutes current .Shortly the potential difference across the battery terminals does work on the conduction electrons present inside the conductor. Actually a battery is an electrolytic device ,after some time the electrolyte completely exhausts this state of battery is called as discharged state.


How is the potential difference maintained across the end of the conductor?

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What is terminal PD?

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