(A) When resistors are connected in parallel,the potential difference $V$ across each resistor is the same.The heat produced $H$ in a resistor of resi

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(A) When resistors are connected in parallel,the potential difference $V$ across each resistor is the same.The heat produced $H$ in a resistor of resistance $R$ over a time $t$ is given by the formula $H = \frac{V^2 t}{R}$.Since $V$ and $t$ are constant for both resistors,the heat produced is inversely proportional to the resistance: $H \propto \frac{1}{R}$.Therefore,the ratio of heat liberated is $\frac{H_1}{H_2} = \frac{R_2}{R_1}$.

Class 12 Physics Current Electricity Circuit Solving for current and Voltage

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Resistances $R_1$ and $R_2$ are joined in parallel and a current is passed so that the amount of heat liberated is $H_1$ and $H_2$ respectively. The ratio $\frac{H_1}{H_2}$ has the value:

A
$\frac{R_2}{R_1}$
B
$\frac{R_1}{R_2}$
C
$\frac{R_1^2}{R_2^2}$
D
$\frac{R_2^2}{R_1^2}$

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Current Electricity

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Circuit Solving for current and Voltage

In the circuit shown, the reading of the ammeter when switch $S$ is open and when switch $S$ is closed respectively are

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Find the current passing through the battery immediately after the key $(K)$ is closed. It is given that initially all the capacitors are uncharged. (Given that $E = 5 \, V$, $R = 6 \, \Omega$) (in $A$)

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The equivalent resistance and potential difference between $A$ and $B$ for the circuit shown are respectively:

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In the circuit shown,the variable resistance is adjusted such that the ammeter reading is the same in both positions $1$ and $2$ of the key. The reading of the ammeter is $2 \, A$. If $E = 20 \, V$,then $x$ is: ................... $\Omega$

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Refer to the figure given below, current between terminals $A$ and $B$ is . . . . . . $A$.

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Resistances $R_1$ and $R_2$ are joined in parallel and a current is passed so that the amount of heat liberated is $H_1$ and $H_2$ respectively. The ratio $\frac{H_1}{H_2}$ has the value:

Similar Questions

In the circuit shown, the reading of the ammeter when switch $S$ is open and when switch $S$ is closed respectively are

Find the current passing through the battery immediately after the key $(K)$ is closed. It is given that initially all the capacitors are uncharged. (Given that $E = 5 \, V$, $R = 6 \, \Omega$) (in $A$)

The equivalent resistance and potential difference between $A$ and $B$ for the circuit shown are respectively:

In the circuit shown,the variable resistance is adjusted such that the ammeter reading is the same in both positions $1$ and $2$ of the key. The reading of the ammeter is $2 \, A$. If $E = 20 \, V$,then $x$ is: ................... $\Omega$

Refer to the figure given below, current between terminals $A$ and $B$ is . . . . . . $A$.

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