The difference of potential between the terminals of cells is 2.2 volts. When a 4ohm resistor is connected across the terminals of this cells, the potential difference is 2 volts. What is the internal resistance of the cell?
0.10 ohms
0.25ohms
0.40ohms
2.50ohms
4.00ohms
Explanation
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Wrong answer: the answer is E.... r=R(E-V)/V that's the quickest formula for internal resistance adapted from The science physics pg 325 left side

We can determine the internal resistance of the cell using Ohm's law and the formula for terminal voltage:
V = E - Ir
where:
(terminal voltage when connected to the resistor)
(emf of the cell)
= internal resistance (to be found)
= current flowing through the circuit
(external resistor)
Step 1: Find the current using Ohm’s Law
I = \frac{V}{R} = \frac{2.0V}{4\Omega} = 0.5A
Step 2: Use the emf equation
E = V + Ir
2.2V = 2.0V + (0.5A \times r)
Step 3: Solve for
0.2V = 0.5A \times r
r = \frac{0.2V}{0.5A} = 0.4\Omega
Answer:
C. 0.40 ohms




