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Internal resistance, Meaning (SPM Physics)

The resistance within a source of electromotive force, such as a cell, which causes some energy to be lost inside the source.

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Definition

The resistance within a source of electromotive force, such as a cell, which causes some energy to be lost inside the source.

Electricity

In exam terms

Internal resistance, symbol r, is the resistance within a source of emf such as a cell, measured in ohms (Ω). Because the source itself opposes current, some energy is lost inside it as heat.

The full circuit equation is ε = IR + Ir, or equivalently V = ε − Ir, where V is the terminal potential difference.

Example of correct use: a cell of emf 3.0 V and internal resistance 0.5 Ω driving a current of 2 A loses a potential difference of Ir = 2 A × 0.5 Ω = 1.0 V inside itself, giving a terminal p.d. of 3.0 V − 1.0 V = 2.0 V.

Do not confuse it with…

Do not confuse internal resistance with external (load) resistance. Internal resistance r is inside the source; load resistance R is the resistance of the external components.

As the current increases, the lost voltage Ir grows, so the terminal p.d. falls below the emf.

In Paper 2, the standard experiment plots terminal p.d. V against current I: the gradient of the line equals −r and the vertical intercept equals the emf ε.

Be ready to state what the gradient and intercept represent.

Source: DSKP KSSM Physics Form 4 and 5 (Versi English) (Bahagian Pembangunan Kurikulum (BPK), KPM)

Frequently asked questions

Why does the terminal voltage drop when more current flows?
Because more voltage is lost across the internal resistance: the lost voltage equals Ir, so a larger current means a larger drop, leaving less terminal p.d. for the external circuit.
How can you reduce energy loss from internal resistance?
Use a source with lower internal resistance, or draw a smaller current. The power lost inside the source equals I²r, so a smaller current wastes much less energy.
How is internal resistance found from a graph?
Plot terminal p.d. V against current I. The line has the form V = ε − Ir, so the gradient is −r and the y-intercept is the emf.

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