n identical light bulbs, drawing P power from voltage supply, are joined in series. The total power drawn is

Electric power can be defined as the rate at which work is done or energy is converted into an electrical circuit. It is basically a measurement of energy used in a span of time.

Step 1: Use of Formula

In order to calculate, we need to use the formula of electric power, which is given by:

P = VI

Here,

P = Power
V = Potential difference in Circuit
I = Electric Current

Power can be represented as:

⇒ P = I²R
⇒ $P = {{V^2} \over R}$

The two expressions were obtained by using Ohm’s Law, wherein Voltage, Current, and Resistance are all interrelated with one another. Ohm’s Law is given by:

V = IR

Where,

R = Resistance in the Circuit
V = Potential difference
I = Electric Current

Step 2: Find Solution

Let’s first consider the following readings:

A voltage of the source = V
Resistance of each bulb = R

Hence, $R = {{V^2} \over P}$

The amount of Power drawn by each bulb can be given by = i²R = ${{V^2} \over n^2R^2} \times R$

=${{V^2} \over n^2R} $

= ${{P} \over n^2}$

Read Also: Ohm’s Law and its Limitations

Related Questions:

Check Out:

Important Topics Based on Ohm’s Law
Relation between kva and kw	Difference between RTD and thermocouple	Types of Current
Ampere	Cells, emf, Internal Resistance	Derivation of Drift Velocity
Potentiometer	Electromotive Force	Unit of Specific Resistance
Static Electricity	Difference between AC and DC	Wheatstone Bridge
Resistor Colour Codes	Difference between kva and kw	Permittivity And Permeability
Electric Dipole	Current Density	Meter Bridge
Unit of Current	Relation between resistance and length	Electrical Formula
Kirchhoff’s Rules	Difference between Air Conditioning and Refrigeration	Internal resistance formula
Resistivity Temperature Dependence	Cells in Series and in Parallel	Types of Resistors
Current density formula	Difference Between Primary Cell and Secondary Cell	Circuit Diagram
Resistivity formula	Differences Between Acceleration and Velocity	Power Of Alternating Current
Current Electricity NCERT Solutions	Drift Velocity	Combination of Resistors
Carbon Resistor	Uses of Resistor	Voltage Divider Formula
Difference between Earth and Neutral	Difference between emf and Voltage	Current Electricity
Power transformers	Relation between Power and Resistance	Resistance Formula

CBSE CLASS XII Related Questions

1.
A magnet held vertically, with its north pole down, is dropped along the axis of a closed solenoid placed vertically on a table. If the observer looks down from the top,

the induced current will flow in the anticlockwise direction.
the induced current will flow in the clockwise direction.
no induced current will flow in the solenoid.
the magnet will fall with a constant velocity.

View Solution

2.
Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

$\frac{1}{4\pi\epsilon_0} \frac{\sqrt{2}Q}{d^2} (\hat{i} - \hat{j})$
$\frac{1}{4\pi\epsilon_0} \frac{\sqrt{2}Q}{d^2} (-\hat{i} - \hat{j})$
$\frac{1}{4\pi\epsilon_0} \frac{Q}{d^2} (\hat{i} - \hat{j})$
$\frac{1}{4\pi\epsilon_0} \frac{Q}{d^2} (-\hat{i} - \hat{j})$

View Solution

3.
A current of $4.0\,\text{A}$ flows through a wire of length $1\,\text{m}$ and cross-sectional area $1.0\,\text{mm}^2$, when a potential difference of $2\,\text{V}$ is applied across its ends. Calculate the resistivity of the material of the wire.

View Solution

4.
The number of free electrons per unit volume ($\text{m}^3$) in a wire made of copper (resistivity $1.72 \times 10^{-8}\,\Omega\,\text{m}$) is $8.5 \times 10^{28}$. Calculate the average number of collisions made by an electron in one second when an electric field is maintained in the wire.

View Solution

5.
An electron is revolving around a proton in a circular orbit of radius $r$. Using classical physics, prove that the ratio of value of the angular momentum and the value of magnetic moment of electron revolving in the orbit is a constant.

View Solution

6.
Draw the plot of potential energy of a pair of nucleons as a function of their separation. Write two important conclusions that can be drawn from this plot.

View Solution

n identical light bulbs, drawing P power from a voltage supply, are joined in series. The total power drawn is

Step 1: Use of Formula

Step 2: Find Solution

CBSE CLASS XII Related Questions

1.
A magnet held vertically, with its north pole down, is dropped along the axis of a closed solenoid placed vertically on a table. If the observer looks down from the top,

2.
Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

3.
A current of \(4.0\,\text{A}\) flows through a wire of length \(1\,\text{m}\) and cross-sectional area \(1.0\,\text{mm}^2\), when a potential difference of \(2\,\text{V}\) is applied across its ends. Calculate the resistivity of the material of the wire.

4.
The number of free electrons per unit volume ($\text{m}^3$) in a wire made of copper (resistivity $1.72 \times 10^{-8}\,\Omega\,\text{m}$) is $8.5 \times 10^{28}$. Calculate the average number of collisions made by an electron in one second when an electric field is maintained in the wire.

5.
An electron is revolving around a proton in a circular orbit of radius $r$. Using classical physics, prove that the ratio of value of the angular momentum and the value of magnetic moment of electron revolving in the orbit is a constant.

6.
Draw the plot of potential energy of a pair of nucleons as a function of their separation. Write two important conclusions that can be drawn from this plot.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

n identical light bulbs, drawing P power from a voltage supply, are joined in series. The total power drawn is

Step 1: Use of Formula

Step 2: Find Solution

CBSE CLASS XII Related Questions

1.A magnet held vertically, with its north pole down, is dropped along the axis of a closed solenoid placed vertically on a table. If the observer looks down from the top,

2.Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

3.A current of \(4.0\,\text{A}\) flows through a wire of length \(1\,\text{m}\) and cross-sectional area \(1.0\,\text{mm}^2\), when a potential difference of \(2\,\text{V}\) is applied across its ends. Calculate the resistivity of the material of the wire.

4.The number of free electrons per unit volume ($\text{m}^3$) in a wire made of copper (resistivity $1.72 \times 10^{-8}\,\Omega\,\text{m}$) is $8.5 \times 10^{28}$. Calculate the average number of collisions made by an electron in one second when an electric field is maintained in the wire.

5.An electron is revolving around a proton in a circular orbit of radius $r$. Using classical physics, prove that the ratio of value of the angular momentum and the value of magnetic moment of electron revolving in the orbit is a constant.

6.Draw the plot of potential energy of a pair of nucleons as a function of their separation. Write two important conclusions that can be drawn from this plot.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
A magnet held vertically, with its north pole down, is dropped along the axis of a closed solenoid placed vertically on a table. If the observer looks down from the top,

2.
Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

3.
A current of \(4.0\,\text{A}\) flows through a wire of length \(1\,\text{m}\) and cross-sectional area \(1.0\,\text{mm}^2\), when a potential difference of \(2\,\text{V}\) is applied across its ends. Calculate the resistivity of the material of the wire.

4.
The number of free electrons per unit volume ($\text{m}^3$) in a wire made of copper (resistivity $1.72 \times 10^{-8}\,\Omega\,\text{m}$) is $8.5 \times 10^{28}$. Calculate the average number of collisions made by an electron in one second when an electric field is maintained in the wire.

5.
An electron is revolving around a proton in a circular orbit of radius $r$. Using classical physics, prove that the ratio of value of the angular momentum and the value of magnetic moment of electron revolving in the orbit is a constant.

6.
Draw the plot of potential energy of a pair of nucleons as a function of their separation. Write two important conclusions that can be drawn from this plot.