Topic: Network Theory
A network contains linear resistors and ideal voltage sources. If values of all the resistors are doubled, then voltage across each resistor is
- A. Halved
- B. Doubled
- C. Increases by 4 times
- D. Remains the same
Answer: D. Remains the same
Explanation: Since the network is linear and contains only ideal voltage sources, doubling the value of all resistors decreases the current in each individual branch to half ($I/2$). However, the voltage across each resistor is $V = I_{new} \times R_{new} = (I/2) \times (2R) = IR$. Thus, the voltage across each resistor remains the same.