(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

Column $- I$ gives certain physical terms associated with the flow of current through a metallic conductor. Column $- II$ gives some mathematical relations involving electrical quantities. Match Column $- I$ and Column $- II$ with appropriate relations.
Column $- I$ Column $- II$
$(A)$ Drift Velocity $(P)$ $\frac{m}{n e^{2} \rho}$
$(B)$ Electrical Resistivity $(Q)$ $n e v_{d}$
$(C)$ Relaxation Period $(R)$ $\frac{e E}{m} \tau$
$(D)$ Current Density $(S)$ $\frac{E}{J}$

MediumNEET 2021

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The Thomson coefficient of a conductor is $10 \mu V/K$. The two ends of the conductor are kept at $50^{\circ} C$ and $60^{\circ} C$,respectively. The amount of heat absorbed by the conductor when a charge of $10 C$ flows through it is:

DifficultTS EAMCET 2001

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In the given circuit,the reading of the voltmeter connected across the $400\,\Omega$ resistor is $30\,V$. If it is connected across the $300\,\Omega$ resistor,what will be its reading in $V$?

Medium

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Four lamps are connected as shown in the figure. When switch $S_2$ is open and switch $S_1$ is at position $2$,lamp $b$ is the brightest,and lamps $c$ and $d$ are the dimmest and have the same brightness. Now,if $S_2$ is closed and $S_1$ is at position $1$,what is the sequence of brightness of the lamps (starting from the brightest)?

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$A$ torch bulb rated as $4.5\, W$,$1.5\, V$ is connected as shown in the figure. The $e.m.f.$ of the cell needed to make the bulb glow at full intensity is ................ $V$.

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Column $- I$	Column $- II$
$(A)$ Drift Velocity	$(P)$ $\frac{m}{n e^{2} \rho}$
$(B)$ Electrical Resistivity	$(Q)$ $n e v_{d}$
$(C)$ Relaxation Period	$(R)$ $\frac{e E}{m} \tau$
$(D)$ Current Density	$(S)$ $\frac{E}{J}$

Similar Questions

The Thomson coefficient of a conductor is $10 \mu V/K$. The two ends of the conductor are kept at $50^{\circ} C$ and $60^{\circ} C$,respectively. The amount of heat absorbed by the conductor when a charge of $10 C$ flows through it is:

In the given circuit,the reading of the voltmeter connected across the $400\,\Omega$ resistor is $30\,V$. If it is connected across the $300\,\Omega$ resistor,what will be its reading in $V$?

$A$ torch bulb rated as $4.5\, W$,$1.5\, V$ is connected as shown in the figure. The $e.m.f.$ of the cell needed to make the bulb glow at full intensity is ................ $V$.

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