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Internal Resistance Calculator

⚡ Electricity & magnetism. Use the Internal resistance (EMF) formula to find emf ε, current, external resistance, internal resistance: pick the value you want, type the others, and the answer updates as you go.

ε=I(R+r)\varepsilon = I(R + r)
EMF ε12 V

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
EMF εV
CurrentA
External resistanceΩ
Internal resistanceΩ

Worked example

Find the emf ε when Current = 2 A, External resistance = 5.5 Ω, Internal resistance = 0.5 Ω.

Using ε = I(R + r): EMF ε = 12 V.

Frequently asked questions

What is the formula for Internal resistance (EMF)?

ε = I(R + r).

What do the letters stand for, and what units are used?

EMF ε in V, Current in A, External resistance in Ω, Internal resistance in Ω.

How do you calculate emf ε?

Put the values into ε = I(R + r). For example, with Current = 2 A, External resistance = 5.5 Ω, Internal resistance = 0.5 Ω, emf ε = 12 V.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (emf ε, current, external resistance, internal resistance) and fill in the others: it rearranges the formula for you.

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