What Is EMF of a Cell? Definition vs Voltage

Physics · Current Electricity · NEET

EMF (electromotive force) of a cell is the work the cell does per unit charge to push charge from the low-potential terminal to the high-potential terminal inside itself. It is the voltage across the cell's terminals when no current flows (open circuit), measured in volts. Memory hook: EMF is the cell's "full push" with no load; the moment current flows, some push is lost inside the cell, so terminal voltage drops below EMF.
EMF vs Terminal Voltage of a Cellr (internal)cellER (external)VOpen circuit: I = 0 => V = ECurrent flows: V = E - I r < EIr = voltage lost inside the cell
A cell with EMF E and internal resistance r drives current through external resistance R. The voltmeter reads terminal voltage V = E - Ir, which is less than E while current flows; only in an open circuit (I = 0) does V equal E.

Your doubts, answered

Is EMF a force? Why is it called electromotive FORCE?

No, EMF is not a force. The name is historical and misleading. EMF is the work done per unit charge (energy per coulomb) by the cell to move charge from the negative to the positive terminal inside the cell. Its SI unit is the volt (joule per coulomb), not the newton. NCERT states clearly: the emf is not a force; it is the voltage difference between the two terminals of a source in open circuit. Do not write its unit as newton in NEET.

Is EMF the same as terminal voltage?

No. EMF (E) is the total voltage the cell can supply with no current drawn. Terminal voltage (V) is what you actually measure across the terminals when current I flows through the circuit. Because the cell has internal resistance r, some voltage is lost inside as Ir. So V = E - Ir when the cell supplies current. Terminal voltage is always less than EMF while the cell is discharging.

When does terminal voltage equal EMF?

When no current flows (open circuit, I = 0). Then V = E - Ir = E - 0 = E. This is why a good voltmeter (very high resistance, draws almost no current) reads a value close to the EMF, and why a potentiometer at balance (zero current from the cell) measures the true EMF, not the terminal voltage.

Can terminal voltage ever be greater than EMF?

Yes, but only when the cell is being charged (current is forced INTO the cell from outside). Then V = E + Ir, so V is greater than E. During normal discharge (cell supplying current), terminal voltage is always less than EMF. NEET questions almost always use the discharge case V = E - Ir.

What is the difference between EMF and potential difference (PD)?

EMF is the cause: the energy given per unit charge by the source across the whole cell. Potential difference is the effect: the energy used per unit charge across a part of the external circuit (a resistor). EMF exists even in an open circuit; PD across a resistor exists only when current flows through it. EMF drives the current; PD is the drop it produces across external components.

⚠️ The NEET trap
EMF is a force, so its unit is the newton (N).
EMF is energy per unit charge (work done per coulomb), so its unit is the volt (V = J/C), not the newton. It is a voltage, not a mechanical force.
🧠 The word 'force' in EMF is a 200-year-old naming mistake. Check the unit: if it is volts, it is EMF; a real force would be in newtons.

Real NEET questions

NEET 2024

The terminal voltage of a battery of emf 10 V and internal resistance 1 ohm, connected to an external resistance of 4 ohm, is:

A · 6 V
B · 8 V
C · 10 V
D · 4 V
Solution: Step 1: Find the current in the loop. Total resistance = external + internal = 4 + 1 = 5 ohm. Current I = E / (R + r) = 10 / 5 = 2 A. Step 2: Apply the terminal voltage formula for a discharging cell: V = E - Ir = 10 - (2)(1) = 10 - 2 = 8 V. So terminal voltage (8 V) is less than the EMF (10 V) because 2 V is lost across the internal resistance. Answer: 8 V (option B).
NEET 2026

A resistor is connected to a battery of emf 12 V and internal resistance 2 ohm. If the current is 0.6 A, the terminal voltage of the battery is:

A · 10 V
B · 1.2 V
C · 12 V
D · 10.8 V
Solution: Here the current is given directly, so no need to find R. Use V = E - Ir. Voltage lost inside the cell = Ir = (0.6)(2) = 1.2 V. Terminal voltage V = E - Ir = 12 - 1.2 = 10.8 V. The EMF stays 12 V, but the meter across the terminals reads only 10.8 V while current flows. Answer: 10.8 V (option D).

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Frequently asked

What is the SI unit of EMF?

The volt (V), which equals one joule per coulomb (J/C). EMF is energy per unit charge, not a force, so it is never measured in newtons.

What is the formula for EMF of a cell?

For a cell supplying current, E = V + Ir, where V is terminal voltage, I is current and r is internal resistance. Rearranged, terminal voltage V = E - Ir. In an open circuit (I = 0), E = V.

How is EMF different from voltage?

EMF is the cell's total available voltage with no current drawn (open circuit). Voltage (terminal voltage) is what you measure when current actually flows, which is lower because of the internal resistance drop Ir.

Why is terminal voltage less than EMF?

When current I flows, a part of the EMF is used up pushing charge through the cell's own internal resistance r. This lost voltage equals Ir, so the terminal voltage V = E - Ir is less than the EMF E.

How do you measure the true EMF of a cell?

Use a potentiometer. At its balance point no current is drawn from the test cell (I = 0), so it measures the true EMF, not the reduced terminal voltage. A voltmeter draws a small current, so it reads slightly less than EMF.