CUET · PHYSICS · PYQ PAPER 2023
A battery with potential V across it is connected to a combination of two identical resistors, and then has current i through it. What are the potential difference across and the current through either resistor if the resistors are connected in series ?
- A \(V, \frac{i}{2}\)
- B \(\frac{V}{2}, \frac{i}{2}\)
- C \(\frac{V}{2}, i\)
- D \(V, i\)
Answer & Solution
Correct Answer
(C) \(\frac{V}{2}, i\)
Step-by-step Solution
Detailed explanation
Current through each resistor: \(i\) Total resistance for series: \(R_{eq} = 2R\) From Ohm's law for the total circuit: \(V = i \cdot (2R)\) Potential difference across one resistor: \(V_{resistor} = i \cdot R = i \cdot \left(\frac{V}{2i}\right) = \frac{V}{2}\)
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