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For a cell, the terminal potential difference is 3.6 V, when the circuit is open. If the potential
difference reduces to 3 V, when cell is connected to a resistance of 5 Ω, the internal resistance of
cell is
?
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For a cell, the terminal potential difference is 3.6 V, when the circu...
Calculation of Internal Resistance of a Cell


Given:


  • Terminal potential difference of the cell = 3.6 V

  • Potential difference across a resistance of 5 Ω = 3 V



To find: Internal resistance of the cell


Formula:

The formula to calculate the internal resistance of the cell is:

r = (E - V) / I


  • r = internal resistance of the cell

  • E = EMF of the cell (terminal potential difference when the circuit is open)

  • V = potential difference across the external resistance (when the circuit is closed)

  • I = current flowing through the circuit



Solution:

When the circuit is open, the EMF of the cell is equal to the terminal potential difference.

E = 3.6 V


When the circuit is closed, the potential difference across the external resistance is 3 V.

V = 3 V


We can calculate the current flowing through the circuit using Ohm's law.

V = IR

3 = I x 5

I = 0.6 A


Substituting the values in the formula:

r = (E - V) / I

r = (3.6 - 3) / 0.6

r = 1 Ω


Answer:

The internal resistance of the cell is 1 Ω.
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For a cell, the terminal potential difference is 3.6 V, when the circuit is open. If the potentialdifference reduces to 3 V, when cell is connected to a resistance of 5 Ω, the internal resistance ofcell is?
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