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EMF Calculator

Calculate EMF, terminal voltage, and cell combinations for electrochemical cells and batteries. Includes Nernst equation for non-standard conditions and series/parallel cell calculations. Essential for CBSE Class 12 and JEE Physics and Chemistry.

EMF Calculator

Terminal Voltage (V)

11 V

V = E − Ir = 12 − 2 × 0.5 = 11 V

Voltage Drop (Ir)

1 V

Power Delivered

22 W

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Key EMF Formulas

V = E − Ir
E = E° − (0.0592/n) log Q
Series: E_total = nE, r_total = nr
Parallel: E_total = E, r_total = r/n

V = terminal voltage, E = EMF, I = current, r = internal resistance, n = number of cells/electrons, Q = reaction quotient

Frequently Asked Questions

What is EMF (Electromotive Force)?

EMF is the potential difference across the terminals of a cell when no current is flowing (open circuit). It represents the total energy per unit charge supplied by the cell. EMF is measured in volts (V). The formula relating EMF to terminal voltage is: V = E − Ir, where E is EMF, I is current, and r is internal resistance.

EMF (E) is the total voltage the cell can provide with no load. Terminal voltage (V) is the actual voltage across the terminals when current flows. Terminal voltage is always less than EMF because some voltage is lost across the internal resistance: V = E − Ir. This is a key concept in CBSE Class 12 and JEE Physics.

The Nernst equation calculates the EMF of an electrochemical cell under non-standard conditions: E = E° − (RT/nF) ln(Q), or at 25°C: E = E° − (0.0592/n) log(Q). Here E° is the standard EMF, n is the number of electrons transferred, and Q is the reaction quotient. This is important for CBSE Class 12 Chemistry and JEE.

In series: total EMF = sum of individual EMFs, total internal resistance = sum of individual internal resistances. In parallel (identical cells): total EMF = EMF of one cell, total internal resistance = r/n (where n is number of cells). Series gives higher voltage; parallel gives higher current capacity.