রোধ

1010 wires (same length, same area, same material) are connected in parallel and each has 1Ω1\Omega resistance, then the equivalent resistance will be

হানি নাটস

When nn no. of resistances are connected parallelly then

1Req=1R+1R+1R+1R+1R+1R+1R+1R+................ \dfrac{1}{R_{eq} } = \dfrac{1}{R} + \dfrac{1}{R} + \dfrac{1}{R} + \dfrac{1}{R} + \dfrac{1}{R} + \dfrac{1}{R} + \dfrac{1}{R} + \dfrac{1}{R} + ................

1Req=nR \dfrac{1}{R_{eq} } = \frac{n}{R}

\Rightarrow Req=RnR_{eq} = \dfrac{R}{n}

\Rightarrow Req=Rn=110=0.1ΩR_{eq}=\dfrac {R}{n}=\dfrac {1}{10}=0.1\Omega

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