A wire of resistance R is cut in three equal parts. If they are arranged in parallel and the equivalent resistance is $R^{'}$ the $\frac{R}{R^{'}}$ will be equal to _____________.

3

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\frac{1}{3}

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9

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\frac{1}{9}

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Solution

The correct option is C $9$

1R′=1R/3+1R/3+1R/3
=3R+3R+3R=9R⇒RR′=9
Imax=ni=n(PV)

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A piece of wire of resistance R is cut into five equal parts. These parts are then connected in parallel. If the equivalent resistance of this combination is $R^{^{'}}$ , then the ratio $\frac{R}{R^{^{'}}}$ is

Question 1
A piece of wire of resistance R is cut into five equal parts. These parts are then connected in parallel. If the equivalent resistance of this combination is R', then the ratio $\frac{R}{R^{'}}$ is:

(a) $\frac{1}{25}$
(b) $\frac{1}{5}$
(c) 5
(d) 25

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A wire of resistance R is cut in three equal parts. If they are arranged in parallel and the equivalent resistance is R′ the RR′ will be equal to _____________.

The correct option is C 91R′=1R/3+1R/3+1R/31R′=1R/3+1R/3+1R/3=3R+3R+3R=9R⇒RR′=9=3R+3R+3R=9R⇒RR′=9Imax=ni=n(PV)

A wire of resistance R is cut in three equal parts. If they are arranged in parallel and the equivalent resistance is $R^{'}$ the $\frac{R}{R^{'}}$ will be equal to _____________.

The correct option is C $9$

1R′=1R/3+1R/3+1R/3
=3R+3R+3R=9R⇒RR′=9
Imax=ni=n(PV)