A cell whose internal resistance is \(0.55\,\Omega\) delivers a current of 4 A to an external resistor. The lost voltage of the cell is?

Assessment: JAMB UTME - Physics - 2022 Subject: Physics

Question 1 Report

A cell whose internal resistance is \(0.55\,\Omega\) delivers a current of 4 A to an external resistor. The lost voltage of the cell is?

Answer Details
The lost voltage of the cell can be calculated using Ohm's Law, which states that voltage (V) is equal to the current (I) multiplied by the resistance (R) of the circuit, plus the voltage lost within the internal resistance (r) of the cell. So, we can use the formula V = IR + Ir to find the lost voltage of the cell, where I is the current (4 A), R is the external resistance (unknown), and r is the internal resistance of the cell (0.55 Ω). Rearranging the formula, we get V - IR = Ir. Substituting the values we know, we get: V - (4 A x R) = 4 A x 0.55 Ω Simplifying this equation, we get: V - 4R = 2.2 V So, the lost voltage of the cell is 2.2 volts. Therefore, the correct option is 2.20 V.

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