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 \(40\ \text{V}\).
Important Questions from Combination of Resistors — Series and Parallel
Consider two resistors, $R_1$ and $R_2$, connected in series to a DC voltage source. Which of the following statements accurately describes the distribution of current and voltage across these resistors?
A cell of negligible resistance and e.m.f 2 volt is connected to series combination of 2 ohm, 3 ohm and 5 ohm. The potential difference across the 3 ohm resistance is:
Two bulbs A, of (100w, 100v), and B of (60 w, 100v) are connected in series and across the series combination 200 v is applied. Which bulb will be fused?
3 resistors of 3 ohm each connected in series. What is the mean values of resistors?
The equivalent resistance of the resistances (two) joined in parallel is 6/5 Ω. When one of the resistance wire is broken, the effective resistance becomes 2Ω. The resistance of the wire that got broken was :
