(A) The thermal energy produced in a resistor is given by the formula $H = i^2Rt$,where $i$ is the current,$R$ is the resistance,and $t$ is the time i

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Equal amounts of thermal energy must be produced in the resistors

(A) The thermal energy produced in a resistor is given by the formula $H = i^2Rt$,where $i$ is the current,$R$ is the resistance,and $t$ is the time interval.Since the resistors are connected in series,the same current $i$ flows through both resistors.Given that the resistances are equal $(R_1 = R_2 = R)$,the thermal energy produced in both resistors will be $H_1 = i^2Rt$ and $H_2 = i^2Rt$.Therefore,$H_1 = H_2$,meaning equal amounts of thermal energy must be produced in the resistors.

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

Easy

Two resistors having equal resistances are joined in series and a current is passed through the combination. Neglect any variation in resistance as the temperature changes. In a given time interval,

A
Equal amounts of thermal energy must be produced in the resistors
B
Unequal amounts of thermal energy may be produced
C
The temperature must rise equally in the resistors
D
The temperature must rise unequally in the resistors

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Equivalent Resistance - Series and Parallel , Circuit

$A$ uniform wire of resistance $20 \,\Omega$ having resistance $1 \,\Omega/m$ is bent into a circle as shown in the figure. If the equivalent resistance between $M$ and $N$ is $1.8 \,\Omega$,then the length of the shorter section is ................ $m$.

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Find the equivalent resistance across the terminals of the source of $e.m.f.$ $24\, V$ for the circuit shown in the figure.

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Find the potential difference across the $24\,\Omega$ resistor in the given circuit. (in $,V$)

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Four resistors,$100 \Omega, 200 \Omega, 300 \Omega$ and $400 \Omega$ are connected to form four sides of a square. The resistors can be connected in any order. What is the maximum possible equivalent resistance across the diagonal of the square (in $Omega$)?

MediumWBJEE 2018

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The resistance of the series combination of two resistances is $S$. When they are joined in parallel,the total resistance is $P$. If $S = nP$,then the minimum possible value of $n$ is

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Two resistors having equal resistances are joined in series and a current is passed through the combination. Neglect any variation in resistance as the temperature changes. In a given time interval,

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$A$ uniform wire of resistance $20 \,\Omega$ having resistance $1 \,\Omega/m$ is bent into a circle as shown in the figure. If the equivalent resistance between $M$ and $N$ is $1.8 \,\Omega$,then the length of the shorter section is ................ $m$.

Find the equivalent resistance across the terminals of the source of $e.m.f.$ $24\, V$ for the circuit shown in the figure.

Find the potential difference across the $24\,\Omega$ resistor in the given circuit. (in $,V$)

Four resistors,$100 \Omega, 200 \Omega, 300 \Omega$ and $400 \Omega$ are connected to form four sides of a square. The resistors can be connected in any order. What is the maximum possible equivalent resistance across the diagonal of the square (in $Omega$)?

The resistance of the series combination of two resistances is $S$. When they are joined in parallel,the total resistance is $P$. If $S = nP$,then the minimum possible value of $n$ is

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