Part of JES-03 — Current Electricity: Ohm's Law, Kirchhoff's & Circuits

Potentiometer

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The potentiometer is the most accurate device for measuring EMF because it draws zero current from the cell at balance. A uniform wire (length LL, total resistance RwR_w) carries a steady current from a driver battery. The potential drops linearly along the wire: potential gradient k=Vw/Lk = V_w/L (V/m).

For measuring EMF: connect the cell across the wire and find the balance length ll where the galvanometer reads zero. Then ε=kl\varepsilon = kl. For comparing two EMFs: ε1/ε2=l1/l2\varepsilon_1/\varepsilon_2 = l_1/l_2 (same gradient cancels). For internal resistance: measure balance length l1l_1 (open circuit) and l2l_2 (with resistance RR across the cell). Then r=R(l1l2)/l2r = R(l_1 - l_2)/l_2.

Key requirements: (1) The driver cell EMF must exceed the EMF being measured (otherwise no balance point exists). (2) The wire must be uniform (constant cross-section). (3) The driver current must remain constant during measurement (use a rheostat for adjustment).

Sensitivity increases with: lower potential gradient (longer wire or higher wire resistance), more sensitive galvanometer, and longer wire length. The potentiometer is superior to a voltmeter because it measures true EMF, not terminal voltage.

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