Question
Two resistors, each of \(20\ \Omega\), are connected in parallel, and this combination is connected across a 40-V supply. Find the voltage across each resistor.
This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is
40 V
Parallel Resistor Voltage Analysis
Key Principle for Parallel Circuits:
- When components are connected in parallel, the voltage across each component is identical to the voltage across the source supplying them.
- This is a fundamental property of parallel electrical connections.
Problem Details:
- The resistors are connected in parallel.
- The supply voltage (\(V_{supply}\)) is given as \(40\ \text{V}\).
- Each resistor has a resistance (\(R\)) of \(20\ \Omega\).
Voltage Calculation:
- Because the two \(20\ \Omega\) resistors are connected in parallel across the \(40\ \text{V}\) supply, the voltage drop across each individual resistor (\(V_R\)) must be equal to the supply voltage.
- Thus, the voltage across each resistor is \(V_R = V_{supply}\).
- \(V_R = 40\ \text{V}\).
Conclusion:
- The voltage across each of the \(20\ \Omega\) resistors is \(40\ \text{V}\).
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