O Levels Physics (5054)•5054/12/O/N/23

Explanation
Equivalent Resistance in Series vs. Parallel Steps:
- Each resistor has resistance R; series equivalent resistance R_s = 2R.
- Series current I_s = V / 2R, where V is supply voltage.
- Parallel equivalent resistance R_p = R/2.
- Parallel current I_p = V / (R/2) = 2V/R.
- Ratio I_p / I_s = (2V/R) / (V/2R) = 4.
Why D is correct:
- Parallel combination halves the equivalent resistance compared to one resistor, quadrupling the current relative to series (by Ohm's law, I = V/R).
Why the others are wrong:
- A: 0.25 inverts the ratio, confusing current with resistance.
- B: 0.50 assumes halving resistance doubles current, ignoring series doubles resistance.
- C: 2.0 undercounts the factor from series (2R vs. R/2 is factor of 4).
Final answer: D
Topic: Series and parallel circuits
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