Two bulbs rated (P1, V) and (P2, V) are connected (i) in series and (ii) in parallel across supply V. Determine power in the two combinations P1 and P2.

Electric power can be defined as the rate at which work is done or energy is converted into an electric circuit. In other words, it is the measurement energy used in a span of time.

Step 1:Formula

Electric Power formula is given by:

P = VI

Here (in the circuit),

P = Power
V = Potential Difference
I = Electric Current

Power is often also denoted as,

⇒ P = I²R
⇒ $P = {{V^2} \over R}$
$\therefore$ Expressions above are determined using Ohm’s Law, wherein, Voltage, current, and resistance are interrelated by the relation:

V = IR

Here (in the circuit),

R = Resistance
V = Potential Difference
I = Electric Current

Step 2: Solution

(i) Two bulbs of (P1, V) and (P2, V) that are connected in series:

The flow of current in both bulbs is the same. Assuming R1 and R2 are both resistances of the bulbs, then the effective resistance circuit:

⇒ R = R1 + R2

Now, after using the relation, we can obtain:

P=V²/R

And, R = V²/P

Therefore, V²/P = V1²/ P1 + V2²/P2

As is given, V₁ = V₂ = V.

Therefore,

⇒ 1/P = 1/P₁ + 1/P₂

Hence, effective power of two bulbs connected in series is 1/ P = 1 / P₁ + 1 / P₂

(ii) Two bulbs of (P1, V) and (P2, V) when connected in parallel:

⇒ 1/R = 1/R₁ + 1/R₂

We know that

P = V²/R

1/R = V²/P

As is given, V1 = V2

Thus, P/V2 = P1/V² + P2/V²

Hence, the effective power of two bulbs connected in parallel is P = P₁ + P₂.

More Related Questions:

Also Check:

Important Topics Related to Ohm’s Law
Potentiometer	Electromotive Force	Wheatstone Bridge
Ampere	Cells, emf, Internal Resistance	Derivation of Drift Velocity
Relation between kva and kw	Difference between RTD and thermocouple	Unit of Specific Resistance
Static Electricity	Difference between AC and DC	Types of Current
Current Density	Difference between kva and kw	Permittivity And Permeability
Electric Dipole	Resistor Colour Codes	Meter Bridge
Unit of Current	Relation between resistance and length	Electrical Formula
Kirchhoff’s Rules	Difference between Air Conditioning and Refrigeration	Circuit Diagram
Resistivity Temperature Dependence	Cells in Series and in Parallel	Types of Resistors
Current density formula	Difference Between Primary Cell and Secondary Cell	Internal resistance formula
Resistivity formula	Differences Between Acceleration and Velocity	Power Of Alternating Current
Current Electricity NCERT Solutions	Carbon Resistor	Combination of Resistors
Drift Velocity	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.
With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

View Solution

2.
Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

The total charge of the two spheres is conserved.
Both spheres attain the same potential.
The final potential of the system equals $\frac{1}{4\pi\epsilon_0} \frac{(q_1 + q_2)}{(r_1 + r_2)}$
The final potential of the system equals $\frac{1}{4\pi\epsilon_0} \frac{(q_1 + q_2) (r_1 + r_2)}{r_1 r_2}$

View Solution

3.
Read the following paragraph and answer the questions that follow.
In an experiment with convex lens of focal length f, the screen is fixed at a distance D from the object. A student slowly moves the lens away from the object towards the screen and finds that she is able to form sharp image of the object for two positions of the lens. The distance between these two positions of the lens is d.

4.
An astronomical telescope consists of two converging lenses. One of them of large aperture and large focal length is called objective lens and the other one, of smaller focal length and smaller aperture is called the eyepiece. It is used to see distant objects which are not seen clearly with naked eyes. The image formed by the objective lens acts as an object for the eyepiece and the final image produced by the eyepiece is magnified.

5.
Write two advantages of reflecting telescope over refracting telescope.

View Solution

6.
Two air-filled capacitors of capacitances $C_1$ and $C_2$ are connected in parallel with a dc battery. After the capacitors are fully charged, a slab of dielectric constant K is inserted between the plates of each capacitor. How will the (i) charge on each capacitor and (ii) energy stored in the capacitor affected after the slab is introduced.

View Solution

Two bulbs rated (P1, V) and (P2, V) are connected (i) in series and (ii) in parallel across supply V. Determine power in the two combinations P1 and P2.

Step 1:Formula

Step 2: Solution

CBSE CLASS XII Related Questions

1.
With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

2.
Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

5.
Write two advantages of reflecting telescope over refracting telescope.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

Two bulbs rated (P1, V) and (P2, V) are connected (i) in series and (ii) in parallel across supply V. Determine power in the two combinations P1 and P2.

Step 1:Formula

Step 2: Solution

CBSE CLASS XII Related Questions

1.With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

2.Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

5.Write two advantages of reflecting telescope over refracting telescope.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

2.
Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

5.
Write two advantages of reflecting telescope over refracting telescope.