(A) Given:Resistance of the coil,$R = 0.1\,\Omega$Time,$t = 20\,\text{minutes} = 20 \times 60 = 1200\,\text{s}$Mass of copper deposited,$m = 0.99\,\te

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(A) Given:Resistance of the coil,$R = 0.1\,\Omega$Time,$t = 20\,\text{minutes} = 20 \times 60 = 1200\,\text{s}$Mass of copper deposited,$m = 0.99\,\text{g}$Electrochemical equivalent,$Z = 0.00033\,\text{g/C}$Using Faraday's law of electrolysis,$m = Z \times i \times t$:$i = \frac{m}{Z \times t} = \frac{0.99}{0.00033 \times 1200} = \frac{0.99}{0.396} = 2.5\,\text{A}$The heat produced in the coil is given by Joule's law of heating,$H = i^2Rt$:$H = (2.5)^2 \times 0.1 \times 1200$$H = 6.25 \times 0.1 \times 1200$$H = 0.625 \times 1200 = 750\,\text{J}$

Class 12 Physics Current Electricity Mix Examples-Current Electricity

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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 ........... $J$.

A
$750$
B
$650$
C
$350$
D
$250$

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Current Electricity

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Mix Examples-Current Electricity

One junction of a certain thermoelectric couple is at a fixed temperature $T_r$ and the other junction is at temperature $T$. The thermo-electromotive force for this is expressed by $E=k(T-T_r)[T_0-\frac{1}{2}(T+T_r)]$. At temperature $T=\frac{1}{2} T_0$, the thermoelectric power is

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The resistance of a wire is $10^{-6} \, \Omega$ per meter. It is bent in the form of a circle of diameter $2 \, m$. A wire of the same material is connected across its diameter. The total resistance across its diameter $AB$ will be

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An electric kettle has two coils. When one coil is switched on,the tea gets heated in $10 \, \text{min}$. When the other coil is switched on,the same amount of tea gets heated in $40 \, \text{min}$. If both coils are connected in parallel,how long will it take to heat the same amount of tea (in $, \text{min}$)?

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$A$ $100 \ W$ bulb is rated at $200 \ V$ and a $200 \ W$ bulb is rated at $100 \ V$. Then:

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If the internal resistance of a cell is proportional to the current drawn from the cell,then the best representation of the terminal potential difference of the cell with respect to the current drawn from the cell will be:

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One junction of a certain thermoelectric couple is at a fixed temperature $T_r$ and the other junction is at temperature $T$. The thermo-electromotive force for this is expressed by $E=k(T-T_r)[T_0-\frac{1}{2}(T+T_r)]$. At temperature $T=\frac{1}{2} T_0$, the thermoelectric power is

The resistance of a wire is $10^{-6} \, \Omega$ per meter. It is bent in the form of a circle of diameter $2 \, m$. A wire of the same material is connected across its diameter. The total resistance across its diameter $AB$ will be

$A$ $100 \ W$ bulb is rated at $200 \ V$ and a $200 \ W$ bulb is rated at $100 \ V$. Then:

If the internal resistance of a cell is proportional to the current drawn from the cell,then the best representation of the terminal potential difference of the cell with respect to the current drawn from the cell will be:

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