Physics

Internal Resistance Calculator

Find a battery's internal resistance from EMF and terminal voltage.

Parameters Live Compute
Calculated Output
Internal resistance (Ω) 0.4
Formula: r = (EMF − V) ÷ I
Step-by-Step Breakdown
1. Values used:
2. EMF (open circuit) = 1.5 V
3. Terminal voltage = 1.3 V
4. Current = 0.5 A
5.
6. Internal resistance = 0.4Ω
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Every real battery has internal resistance that drops its voltage under load.

The math behind it

r = (EMF − V_terminal) ÷ I. The bigger the current, the more the terminal voltage sags.

Worked Example

1.5 V EMF dropping to 1.3 V at 0.5 A → 0.4 Ω.

Frequently Asked Questions

Why does a weak battery dim under load?

High internal resistance causes a large voltage drop when current flows.

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