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Resistors in series simply add together. Resistors in parallel have a combined resistance lower than any individual resistor — current has multiple paths, reducing overall opposition.
공식
Series: R_total = R₁+R₂+... | Parallel: 1/R_total = 1/R₁+1/R₂+... | Ohm's Law: V = I × R
- R
- Resistance (Ohms (Ω))
- V
- Voltage (Volts (V))
- I
- Current (Amperes (A))
단계별 가이드
- 1Series: R_total = R1 + R2 + R3 + ...
- 2Parallel: 1/R_total = 1/R1 + 1/R2 + 1/R3 + ...
- 3For two parallel resistors: R = (R1×R2)/(R1+R2)
- 4Parallel resistance always less than smallest resistor
풀어진 예시
입력
R1=10Ω, R2=20Ω in series
결과
30Ω total
입력
R1=10Ω, R2=20Ω in parallel
결과
(10×20)/(10+20) = 6.67Ω — less than either resistor alone
자주 묻는 질문
Why is total resistance different in series vs parallel?
Series adds resistance (longer path). Parallel reduces resistance (multiple paths for current). Parallel resistance is always less than the smallest individual resistor.
What does Ohm's Law tell us?
V=IR shows voltage, current, and resistance are proportional. Double the voltage and current doubles (if resistance stays same).
What is the practical difference between series and parallel in household circuits?
Household outlets are parallel (each has full voltage). If one fails, others work. Christmas lights were historically series, so one dead bulb broke the whole string.
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