Potentiometer

Physics
NEET UG
Version 1Updated 22 Mar 2026

A potentiometer is an electrical instrument designed to measure the electromotive force (EMF) of a cell or the potential difference across a component without drawing any current from the source being measured. Its fundamental principle relies on the fact that the potential drop across any segment of a wire of uniform cross-section and uniform composition, carrying a steady current, is directly pr…

Quick Summary

A potentiometer is a precision instrument used to measure the electromotive force (EMF) of a cell or potential difference without drawing any current from the source, making it highly accurate. Its core principle states that the potential drop across a uniform wire carrying a constant current is directly proportional to its length.

This constant potential drop per unit length is called the potential gradient. The instrument consists of a long, uniform wire (AB), a driver cell (E) in the primary circuit to establish the potential gradient, and a secondary circuit containing the unknown cell (ExE_x), a galvanometer (G), and a jockey (J).

The measurement involves finding a 'null point' where the galvanometer shows zero deflection, indicating that the potential drop across the balancing length of the wire exactly equals the unknown EMF.

Key applications include comparing EMFs of two cells (E1/E2=l1/l2E_1/E_2 = l_1/l_2) and determining the internal resistance of a cell (r=R(l1/l21)r = R(l_1/l_2 - 1)). For proper functioning, the driver cell's EMF must be greater than the unknown EMF, and polarities must be correctly aligned.

Its null deflection method is superior to a voltmeter for true EMF measurement.

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Key Concepts

Potential Gradient and its Calculation

The potential gradient (kk) is a fundamental concept. It represents how much the electrical potential drops…

Comparison of EMFs

One of the most common applications is comparing the EMFs of two cells. The beauty of this method is that it…

Determination of Internal Resistance

This application leverages the difference between a cell's EMF and its terminal voltage when current is…

  • PrincipleVproptolV propto l (Potential drop across uniform wire proptopropto length).
  • Potential Gradient ($k$)k=Vwire/L=(IprimaryRwire)/Lk = V_{wire}/L = (I_{primary} R_{wire})/L. Unit: V/m.
  • Unknown EMF ($E_x$)Ex=klxE_x = k l_x.
  • Comparison of EMFsE1E2=l1l2\frac{E_1}{E_2} = \frac{l_1}{l_2}.
  • Internal Resistance ($r$)r=R(l1l21)r = R \left( \frac{l_1}{l_2} - 1 \right), where l1l_1 is for EMF, l2l_2 for terminal voltage with external RR.
  • ConditionsEdriver>EunknownE_{driver} > E_{unknown}, correct polarity, uniform wire, constant primary current.
  • Sensitivity1/k\propto 1/k. Increase by decreasing kk (longer wire, less primary current).

To remember the key aspects of a Potentiometer, think of P.O.T.E.N.T.I.O.M.E.T.E.R.S:

Principle: Potential drop \propto Length (V=klV=kl) Outperforms voltmeter: Only true EMF (null method) Threshold: Think Edriver>EunknownE_{driver} > E_{unknown} EMF Comparison: Easy ratio (E1/E2=l1/l2E_1/E_2 = l_1/l_2) Null Point: No current flow (galvanometer zero) Terminal Voltage: Tested for internal resistance (r=R(l1/l21)r = R(l_1/l_2 - 1)) Increase Sensitivity: Increase length, Decrease primary current (reduces kk) Ohm's Law: Often used in primary circuit (I=Edriver/RtotalI = E_{driver}/R_{total}) Material: Manganin/Constantan (uniformity) External Resistance: Effects potential gradient True EMF: The ultimate goal Error-free: Eliminates internal resistance effect Rheostat: Regulates current/potential gradient Series Connection: Secondary circuit for unknown cell

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