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Internal Resistance Formula

Internal resistance formula: Explore more about the internal resistance formula with solved examples.

Internal resistance formula

Ohms are used to measure internal resistance. The connection between internal resistance (r) and electromotive force (e) in cells is given by.

I (r + R) = e

Where e is the electromotive force (Volts), I is the current (A), R is the load resistance, and r is the cell’s internal resistance in ohms.

e = V + Ir (or e = IR + Ir)

V is the potential difference (terminal) across the cell while the current (I) is flowing through the circuit in the equation above.

The following is the connection between Internal Resistance represented by r and emf denoted by e of a cell:

I (r + R) = e

Where we can see that the quantity symbolised by the letter e = EMF, also known as the electromotive force of Volts, is expressed as: I = current, denoted by A, R = Load resistance, and r is the Internal resistance of a cell measured in ohms.

Rearranging the equation above yields the following:

In other words, e = IR + Ir or e = V + Ir.

Note that a cell’s emf (e) is always bigger than the cell’s potential difference (terminal).

Example

1. When no current runs through the circuit, the potential difference across the cell is 3 V. The terminal potential difference lowers to 2.8 Volts while current I = 0.37 Ampere is flowing. What is the cell’s internal resistance (r)?

Solution:

V + Ir = e

Alternatively, e – V = Ir

Alternatively, (e – V)/I = r

r = (3.0 – 2.8)/0.37 = 0.54 Ohm as a result.

The electrons flowing through the cell convert part of the electrical energy to heat energy due to the cell’s internal resistance. As a result, the potential difference accessible to the circuit as a whole is:

V = E (cell EMF) – Ir (the p.d. across the internal resistor)

2. When no current runs through the circuit, this is the potential difference across the cell, which is 3 V. The terminal potential difference reduces to 2.8 Volts while the current dedicated by I = 0.37, which is ampere, is flowing. Determine the cell’s internal resistance, represented by the letter r.

Solution:

In other words, e = V + Ir.

Alternatively, we can see e – V = Ir.

Alternatively, (e – V)/I = r

As a result, we have r = (3.0 – 2.8)/0.37 = 0.54 Ohm.

Now, due to the cell’s internal resistance, which is the electrons passing through the cell, some of the electrical energy is converted to heat energy.

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