(A) The potential difference $V$ across a battery is given by the equation $V = E - ir$.Comparing this with the equation of a straight line $y = mx +

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Internal resistance of the battery is $5\,\Omega$.

(A) The potential difference $V$ across a battery is given by the equation $V = E - ir$.Comparing this with the equation of a straight line $y = mx + c$,we get $V = -ri + E$.From the given graph,the intercept on the $V$-axis is $E = 10\,V$.The intercept on the $i$-axis is the short-circuit current when $V = 0$,which is $i_{max} = E/r = 2\,A$.Substituting $E = 10\,V$ and $i_{max} = 2\,A$,we get $r = E / i_{max} = 10 / 2 = 5\,\Omega$.Thus,the internal resistance $r = 5\,\Omega$,the $emf$ $E = 10\,V$,and the maximum current is $2\,A$.Comparing these with the options,option $A$ is correct.

Class 12 Physics Current Electricity Mix Examples-Current Electricity

Medium

$A$ battery of $emf$ $E$ and internal resistance $r$ is connected across a resistance $R$. Resistance $R$ can be adjusted to any value greater than or equal to zero. $A$ graph is plotted between the current $(i)$ passing through the resistance and potential difference $(V)$ across it. Select the correct alternative$(s)$.

A
Internal resistance of the battery is $5\,\Omega$.
B
Emf of the battery is $20\,V$.
C
Maximum current which can be taken from the battery is $2\,A$.
D
$V-i$ graph can never be a straight line as shown in figure.

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Current Electricity

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Mix Examples-Current Electricity

$A$ room has an $AC$ running for $5$ hours a day at a voltage of $220$ $V$. The wiring of the room consists of $Cu$ wire of $1$ $mm$ radius and a length of $10$ $m$. Power consumption per day is $10$ commercial units. What fraction of it goes into Joule heating in the wires? What would happen if the wiring is made of aluminium of the same dimensions? $(\rho_{Cu} = 1.7 \times 10^{-8} \, \Omega m, \rho_{Al} = 2.7 \times 10^{-8} \, \Omega m)$

Medium

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$A$ copper voltameter is connected in parallel with a heater coil of resistance $0.1\,\Omega$. $A$ current is passed for $20\,\text{minutes}$,resulting in the deposition of $0.99\,\text{g}$ of copper on the cathode. If the electrochemical equivalent of copper is $0.00033\,\text{g/C}$,the heat produced in the coil is ........... $J$.

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The maximum power delivered to resistance $R$ is ............... $W$.

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Consider the following two statements $A$ and $B$,and identify the correct choice out of the given answers:
$A$. Thermo $e.m.f.$ is minimum at the neutral temperature of a thermocouple.
$B$. When two junctions made of two different metallic wires are maintained at different temperatures,an electric current is generated in the circuit.

Medium

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In the figure shown below,a resistance of $150.4\ \Omega$ is connected in series to an ammeter $A$ of resistance $240\ \Omega$. $A$ shunt resistance of $10\ \Omega$ is connected in parallel with the ammeter. The reading of the ammeter is $...\ mA$.

MediumJEE MAIN 2025

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The maximum power delivered to resistance $R$ is ............... $W$.

In the figure shown below,a resistance of $150.4\ \Omega$ is connected in series to an ammeter $A$ of resistance $240\ \Omega$. $A$ shunt resistance of $10\ \Omega$ is connected in parallel with the ammeter. The reading of the ammeter is $...\ mA$.

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