The given circuit can be redrawn as follows $\frac{{{i_1}}}{{{i_2}}} = \frac{9}{{18}} = \frac{1}{2}$ and $i = {i_1} + {i_2}$ $ \Rightarrow \fra

The given circuit can be redrawn as follows $\frac{{{i_1}}}{{{i_2}}} = \frac{9}{{18}} = \frac{1}{2}$ and $i = {i_1} + {i_2}$ $ \Rightarrow \frac{i}{{{i_1}}} = 1 + \frac{{{i_2}}}{{{i_1}}} = 1 + 2 = 3$ From $P = {i^2}R \Rightarrow \frac{{{P_{10\,\Omega }}}}{{{P_{18\,\Omega }}}} = {\left( {\frac{i}{{{i_1}}}} \right)^2} \times \frac{{10}}{{18}}$ $ \Rightarrow {P_{10\,\Omega }}\, = 10\,W$

3.Current ElectricityMedium

In the following circuit, $18\,\Omega $ resistor develops $2\,J/sec$ due to current flowing through it. The power developed across $10\,\Omega $ resistance is .............. $W$

A
$125$
B
$10$
C
$0.8$
D
$25$

Std 12
Physics

A railway compartment is lit up by thirteen lamps each taking $2.1\, amp$ at $15\, volts$. The heat generated per second in each lamp will be ............ $cal$

Easy

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A student in a town in India, where the price per unit ( $1$ unit $=1 \,kWh$ ) of electricity is $₹ 5.00$, purchases a $1 \,kVA$ $UPS$ (uninterrupted power supply) battery. A day before the exam, $10$ friends arrive to the student's home with their laptops and all connect their laptops to the $UPS$. Assume that each laptop has a constant power requirement of $90 \,W$. Consider the following statements.

$I.$ All the $10$ laptops can be powered by the $UPS$, if connected directly.

$II.$ All the $10$ laptops can be powered, if connected using an extension box with a $3 \,A$ fuse.

$III.$ If all the $10$ friends use the laptop for $5 \,h$, then the cost of the consumed electricity is about $₹ 22.50.$

Select the correct option with the true statements.

Advanced

[KVPY 2019]

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A battery of internal resistance $4\, ohm$ is connected to the network of resistance as hown. In the order that the maximum power can be delivered to the network, the value of $R$ in ohm should be :-

Medium

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A $220\, volt$, $1000\, W$ bulb is connected across a $110\, volt$ mains supply. The power consumed will be ............ $W$

Medium

[AIEEE 2003]

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In the circuit shown in figure, the power which is dissipated as heat in the $6\,\Omega$ resistor is $6\,W$. What is the value of resistance $R$ in the circuit?................... $\Omega$

Medium

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In the following circuit, $18\,\Omega $ resistor develops $2\,J/sec$ due to current flowing through it. The power developed across $10\,\Omega $ resistance is .............. $W$

Similar Questions

A railway compartment is lit up by thirteen lamps each taking $2.1\, amp$ at $15\, volts$. The heat generated per second in each lamp will be ............ $cal$

A battery of internal resistance $4\, ohm$ is connected to the network of resistance as hown. In the order that the maximum power can be delivered to the network, the value of $R$ in ohm should be :-

A $220\, volt$, $1000\, W$ bulb is connected across a $110\, volt$ mains supply. The power consumed will be ............ $W$

In the circuit shown in figure, the power which is dissipated as heat in the $6\,\Omega$ resistor is $6\,W$. What is the value of resistance $R$ in the circuit?................... $\Omega$