Answer to Question #179860 in Electric Circuits for jamws

Question #179860

How much would the equivalent

resistance in a parallel circuit be if it had a 3Ω, a

6 Ω, a 5 Ω, and a 2 Ω resistor?


1
Expert's answer
2021-04-13T06:39:58-0400

R1=3ΩR2=6ΩR3=5ΩR4=2ΩR_1=3\Omega\\R_2=6\Omega\\R_3=5\Omega\\R_4=2\Omega

1Req=1R1+1R2+1R3+1R4\\\Rightarrow\dfrac{1}{R_{eq}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}+\dfrac{1}{R_4}

1Req=13+16+15+12\Rightarrow\dfrac{1}{R_{eq}}=\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{5}+\dfrac{1}{2}

1Req=10+5+6+1530\Rightarrow\dfrac{1}{R_{eq}}=\dfrac{10+5+6+15}{30}

Req=3036=0.833 Ω\Rightarrow R_{eq}=\dfrac{30}{36}=0.833\space\Omega

Req = 0.833 Ω\Omega


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