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현재 위치

Power consumption when bulbs are connected in series and in parallel

작성자 Uploader : aloha 작성일 Upload Date: 2023-06-27변경일 Update Date: 2023-06-27조회수 View : 93

Find the ratio PR of power consumption when n light bulbs with resistance R (Ω) are connected in series and in parallel.

The applied voltage is V (V), the power consumption when connected in series is Ps (W), and the power consumption when connected in parallel is Pp (W).

When connected in series, the total resistance is n*R and the current is I = V/(n*R), so

Ps = V*V/(n*R) = V^2/(n*R)

In parallel, the current through each resistor is I = V/R and the total current is n*V/R, so

Pp = V*n*V/R = V^2*n/R

Therefore,

PR = Pp/Ps = n^2

*** 참고문헌[References] ***

PR = n^2

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변수명 Variable	변수값 Value	변 수 설 명 Description of the variable

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현재 위치

Power consumption when bulbs are connected in series and in parallel

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