n identical light bulbs, drawing P power from a 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:

  1. State Ohms law. How can it be verified experimentally?
  2. How do you find the resistance to Ohm's law?
  3. What is the necessary condition for a conductor to obey Ohm's Law?
  4. What is Effective Resistance?
  5. Why is the curve representing Ohm's law linear?
  6. Why Do We Use Ohm's Law?
  7. How many 176 ohm resistors (in parallel) are required to carry 5 A on a 220 V line?
  8. What are the 3 forms of Ohm's law
  9. What Is Ohm's Law Graph?
  10. What are the limitations of Ohm's Law?
  11. What are the applications of ohm's law used in daily life?
  12. State Ohms Law. Express It Mathematically. Define Si Unit Of Resistance.
  13. Is resistance constant in Ohm's law?
  14. Draw a circuit diagram to verify ohm’s law.

Check Out:

CBSE CLASS XII Related Questions

  • 1.
    An electric field $\vec{E}$ is established across the ends of a cylindrical conductor of length L and area of cross-section A. Discuss how electrons attain an average velocity, independent of time. Hence, obtain a relation between current in the conductor and this ‘average velocity’ of electrons.


      • 2.
        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.


          • 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.
                A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.


                  • 5.
                    Capacitors are manufactured with certain standard capacitances and working voltages. However, these standard values may not be the ones that are actually needed in a particular application. Two or more capacitors can be grouped in series or in parallel to achieve desired capacitance and voltage. When connected in series, the total capacitance decreases while the voltage rating increases, whereas in parallel connections, the total capacitance increases and maintains the same voltage rating. A capacitor stores energy in the electric field between its plates and stored energy is proportional to the square of the voltage and capacitance $U = \frac{1}{2}CV^2$, where symbols have their usual meanings.
                    Two capacitors, one of $3 \ \mu$F and the other of $6 \ \mu$F, are connected in series in the circuit as shown in the figure, for a long time. }


                      • 6.
                        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 $\frac{1}{4\pi\epsilon_0} \frac{(q_1 + q_2) (r_1 + r_2)}{r_1 r_2}$
                        CBSE CLASS XII Previous Year Papers

                        Comments


                        No Comments To Show