(B) When $n$ resistors of resistance $R$ are connected in parallel,the equivalent resistance $x$ is given by:$x = R/n$From this,we can find the value

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(B) When $n$ resistors of resistance $R$ are connected in parallel,the equivalent resistance $x$ is given by:$x = R/n$From this,we can find the value of $R$ as:$R = nx$When these $n$ resistors are connected in series,the equivalent resistance $R_s$ is the sum of individual resistances:$R_s = R + R + ... + R$ ($n$ times)$R_s = nR$Substituting the value of $R$ from the parallel connection:$R_s = n(nx) = n^2x$Therefore,the equivalent resistance in series is $n^2x$.

Class 12 Physics Current Electricity Equivalent Resistance - Series and Parallel , Circuit

Medium

There are $n$ similar conductors each of resistance $R$. The resultant resistance comes out to be $x$ when connected in parallel. If they are connected in series,the resistance comes out to be

A
$x/n^2$
B
$n^2x$
C
$x/n$
D
$nx$

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Current Electricity

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Equivalent Resistance - Series and Parallel , Circuit

Three resistances of equal values $R$ are arranged in four different configurations as shown in the figure. The power dissipation in increasing order is:

DifficultTS EAMCET 2012

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Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage,the ratio of heat produced in the same time for parallel to series will be:

MediumJEE MAIN 2023

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The equivalent resistance between the points $P$ and $Q$ in the network given here is equal to ................ $\Omega$ (given $r = \frac{3}{2} \Omega$).

Medium

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The equivalent resistance between the points $A$ and $D$ is ................ $\Omega$.

Medium

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$V-i$ graphs for parallel and series combination of two identical resistors are as shown in the figure. Which graph represents the parallel combination?

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There are $n$ similar conductors each of resistance $R$. The resultant resistance comes out to be $x$ when connected in parallel. If they are connected in series,the resistance comes out to be

Similar Questions

Three resistances of equal values $R$ are arranged in four different configurations as shown in the figure. The power dissipation in increasing order is:

Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage,the ratio of heat produced in the same time for parallel to series will be:

The equivalent resistance between the points $P$ and $Q$ in the network given here is equal to ................ $\Omega$ (given $r = \frac{3}{2} \Omega$).

The equivalent resistance between the points $A$ and $D$ is ................ $\Omega$.

$V-i$ graphs for parallel and series combination of two identical resistors are as shown in the figure. Which graph represents the parallel combination?

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