Which one of the following gives the equivalent resistance of three resistors…

PHYSICS · Single correct · A Level · Physics · Electricity · Electricity

Problem

Which one of the following gives the equivalent resistance RpR_{\text{p}} of three resistors R1, R2, R3R_1,\,R_2,\,R_3 connected in parallel? (a) Rp=1R1+1R2+1R3\displaystyle R_{\text{p}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3} (b) 1Rp=1R1+1R2+1R3\displaystyle \frac{1}{R_{\text{p}}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3} (c) Rp=R1R2R3R1+R2+R3\displaystyle R_{\text{p}}=\frac{R_1 R_2 R_3}{R_1+R_2+R_3} (d) 1Rp=R1+R2+R3\displaystyle \frac{1}{R_{\text{p}}}=R_1+R_2+R_3

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