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

Meter Bridge and Potentiometer

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Meter bridge: A 1-meter uniform wire replaces two arms of the Wheatstone bridge. Unknown resistance X = R * l100l\frac{l}{100-l}, where l is the balancing length. End corrections may apply if junctions have resistance. Most accurate when l is near 50 cm (balanced sensitivity).

Potentiometer: A long uniform wire carrying steady current. Potential is proportional to length: V = kl where k = V0L\frac{V_0}{L} is the potential gradient. Comparing EMFs: epsilon1epsilon_1/epsilon2epsilon_2 = l1l2\frac{l_1}{l_2} (null method — no current drawn from the cell). Internal resistance: r = R(l1l_1/l2l_2 - 1), where R is external resistance across the cell, l1l_1 is open-circuit balance, l2l_2 is with R connected. Advantage over voltmeter: measures true EMF (not terminal voltage), infinite effective resistance.

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