(D) The Watt-hour efficiency of a battery is defined as the ratio of the total energy supplied by the battery during discharge to the total energy con

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(D) The Watt-hour efficiency of a battery is defined as the ratio of the total energy supplied by the battery during discharge to the total energy consumed during charging.Energy consumed during charging $(E_{in})$ = $V_{charge} \times I_{charge} \times t_{charge} = 15\, V \times 10\, A \times 8\, h = 1200\, Wh$.Energy supplied during discharge $(E_{out})$ = $V_{discharge} \times I_{discharge} \times t_{discharge} = 14\, V \times 5\, A \times 15\, h = 1050\, Wh$.Watt-hour efficiency $(\eta)$ = $\frac{E_{out}}{E_{in}} \times 100\%$.$\eta = \frac{1050}{1200} \times 100\% = 0.875 \times 100\% = 87.5\%$.

Class 12 Physics Current Electricity Mix Examples-Current Electricity

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$A$ battery is charged at a potential of $15\, V$ for $8$ hours when the current flowing is $10\, A$. The battery on discharge supplies a current of $5\, A$ for $15$ hours. The mean terminal voltage during discharge is $14\, V$. The "Watt-hour" efficiency of the battery is .............. $\%$

AIPMT 2004 All AIPMT

A
$82.5$
B
$80$
C
$90$
D
$87.5$

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Column-$I$ gives certain physical quantities 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.
$A$. Mobility $P$. $\frac{m}{ne^2 \rho}$
$B$. Electrical conductivity $Q$. $neAv_{d}$
$C$. Relaxation period $R$. $\frac{v_{d}}{E}$
$D$. Current $S$. $\frac{J}{E}$

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Two current elements $P$ and $Q$ have current-voltage characteristics as shown below:
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The thermo-emf of a hypothetical thermocouple varies with the temperature $\theta$ of the hot junction as $E = a\theta + b\theta^2$ in volts,where the ratio $a/b$ is $700^{\circ}C$. If the cold junction is kept at $0^{\circ}C$,then the neutral temperature is:

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$A$. Mobility	$P$. $\frac{m}{ne^2 \rho}$
$B$. Electrical conductivity	$Q$. $neAv_{d}$
$C$. Relaxation period	$R$. $\frac{v_{d}}{E}$
$D$. Current	$S$. $\frac{J}{E}$

$A$ battery is charged at a potential of $15\, V$ for $8$ hours when the current flowing is $10\, A$. The battery on discharge supplies a current of $5\, A$ for $15$ hours. The mean terminal voltage during discharge is $14\, V$. The "Watt-hour" efficiency of the battery is .............. $\%$

Similar Questions

Four equal resistances dissipate $5 \, W$ of power together when connected in series to a battery of negligible internal resistance. The total power dissipated in these resistances when connected in parallel across the same battery would be ........... $W$.

The ends of an element of zinc wire are kept at a small temperature difference $\Delta T$ and a small current $I$ is passed through the wire. Then, the heat developed per unit time

Two current elements $P$ and $Q$ have current-voltage characteristics as shown below:Which of the graphs given below represents the current-voltage characteristics when $P$ and $Q$ are in series?

The thermo-emf of a hypothetical thermocouple varies with the temperature $\theta$ of the hot junction as $E = a\theta + b\theta^2$ in volts,where the ratio $a/b$ is $700^{\circ}C$. If the cold junction is kept at $0^{\circ}C$,then the neutral temperature is:

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Two current elements $P$ and $Q$ have current-voltage characteristics as shown below:
Which of the graphs given below represents the current-voltage characteristics when $P$ and $Q$ are in series?