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Standard XI

Physics

Power

A battery is ...

Question

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

82.5 %

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80 %

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90 %

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87.5 %

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Solution

The correct option is D $87.5 %$
Energy effeciency= $\frac{E n e r g y o u t p u t}{E n e r g y i n p u t}$
Where, Energy = voltage $\times$ current $\times$ time
so, $η = \frac{14 \times 5 \times 15}{15 \times 10 \times 8} η = \frac{7}{8}$
$= 87.5$ %

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A battery is charged at a potential of 15 V for 8 h when the current flowing is 10 A. The battery on discharge supplies a current of 5 A for 15 h. The mean terminal voltage during discharge is 14 V. The watt-hour efficiency of the battery is

The correct option is D 87.5%Energy effeciency= Energy outputEnergy input Where, Energy = voltage × current× time so, η=14×5×1515×10×8η=78 = 87.5 %

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

The correct option is D $87.5 %$
Energy effeciency= $\frac{E n e r g y o u t p u t}{E n e r g y i n p u t}$
Where, Energy = voltage $\times$ current $\times$ time
so, $η = \frac{14 \times 5 \times 15}{15 \times 10 \times 8} η = \frac{7}{8}$
$= 87.5$ %