(B) The current $i$ drawn from the battery is given by the formula $i = \frac{E}{R + r}$.As the variable resistance $R$ is gradually reduced to $0$,th

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$i$ approaches $\frac{E}{r}$,$V$ approaches zero

(B) The current $i$ drawn from the battery is given by the formula $i = \frac{E}{R + r}$.As the variable resistance $R$ is gradually reduced to $0$,the current $i$ approaches the value $i = \frac{E}{0 + r} = \frac{E}{r}$.The terminal potential difference $V$ is given by $V = E - ir$ or $V = iR$.Using $V = iR$,as $R$ approaches $0$,the potential difference $V$ approaches $0 \times \frac{E}{r} = 0$.Therefore,as $R \to 0$,$i \to \frac{E}{r}$ and $V \to 0$.

Class 12 Physics Current Electricity Circuit Solving for current and Voltage

Medium

$A$ battery of emf $E$ has an internal resistance $r$. $A$ variable resistance $R$ is connected to the terminals of the battery. $A$ current $i$ is drawn from the battery. $V$ is the terminal potential difference. If $R$ alone is gradually reduced to zero,which of the following best describes $i$ and $V$?

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A
$i$ approaches zero,$V$ approaches $E$
B
$i$ approaches $\frac{E}{r}$,$V$ approaches zero
C
$i$ approaches $\frac{E}{r}$,$V$ approaches $E$
D
$i$ approaches infinity,$V$ approaches $E$

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Class 12

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Current Electricity

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Circuit Solving for current and Voltage

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The reading of the ammeter as per the figure shown is:

Medium

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In the circuit shown below, a student performing Ohm's law experiment accidentally connects the voltmeter and the ammeter as shown. The reading in the voltmeter will be close to .......... $V$.

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In the given circuit,calculate the value of current in the $4.5\,\Omega$ resistor in $A$.

Medium

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In the circuit shown,the resistance of the voltmeter is $10,000 \, \Omega$ and that of the ammeter is $20 \, \Omega$. The ammeter reading is $0.10 \, A$ and the voltmeter reading is $12 \, V$. Then $R$ is equal to ............. $\Omega$.

Medium

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Two wires $A$ and $B$ made of the same material and having their lengths in the ratio $6 : 1$ are connected in series. The potential differences across the wires are $3\,V$ and $2\,V$ respectively. If $r_A$ and $r_B$ are the radii of $A$ and $B$ respectively,then $\frac{r_B}{r_A}$ is

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The reading of the ammeter as per the figure shown is:

In the circuit shown below, a student performing Ohm's law experiment accidentally connects the voltmeter and the ammeter as shown. The reading in the voltmeter will be close to .......... $V$.

In the given circuit,calculate the value of current in the $4.5\,\Omega$ resistor in $A$.

In the circuit shown,the resistance of the voltmeter is $10,000 \, \Omega$ and that of the ammeter is $20 \, \Omega$. The ammeter reading is $0.10 \, A$ and the voltmeter reading is $12 \, V$. Then $R$ is equal to ............. $\Omega$.

Two wires $A$ and $B$ made of the same material and having their lengths in the ratio $6 : 1$ are connected in series. The potential differences across the wires are $3\,V$ and $2\,V$ respectively. If $r_A$ and $r_B$ are the radii of $A$ and $B$ respectively,then $\frac{r_B}{r_A}$ is

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