A current of 1 ampere flows in a series circuit containing an electric lamp and a conductor of 5 Ohm when connected to a 10 V battery. Calculate the resistance of the electric lamp.

Now if the resistance of 10 Ω is connected in parallel with this series combination, what change (if any) in the current flowing through the 5 Ω conductor and potential difference across the lamp will take place? Give reason.

Let R1 be the resistance of the electric lamp and R2 the resistance of a conductor.

In series, the total resistance R = R1 + R2 = 5 + R1

Current (I) = 1 A

Voltage (V) = 10 V

Using Ohm’s law

I = V/R

1 = 10/(5+R)

5 + R = 10

R = 5Ω

Now, a 10 Ω resistance is connected in parallel with the series combination. Therefore, the total resistance of the circuit is calculated as – 

1/Rp = 1/(R1 + 5) + 1/10

Rp = 5Ω

Therefore, the current flowing in the circuit is equal to I = V/R

I = 10/5

I = 2A

Read More: Ohm’s Law and its Limitations


Related Questions

  1. What is the necessary condition for a conductor to obey Ohm's Law?
  2. State Ohms Law. Express It Mathematically. Define Si Unit Of Resistance.
  3. How do you find the resistance to Ohm's law?
  4. Why is the curve representing Ohm's law linear?
  5. State Ohms law. How can it be verified experimentally?
  6. What are the 3 forms of Ohm's law
  7. What are the limitations of Ohm's Law?
  8. What are the applications of ohm's law used in daily life?
  9. Is resistance constant in Ohm's law?
  10. Draw a circuit diagram to verify ohm’s law.

Read More:

CBSE CLASS XII Related Questions

  • 1.
    Photoemission of electrons occurs from a metal (\( \phi_0 = 1.96 \, \text{eV} \)) when light of frequency \( 6.4 \times 10^{14} \, \text{Hz} \) is incident on it. Calculate: Energy of a photon in the incident light, The maximum kinetic energy of the emitted electrons, and The stopping potential.


      • 2.
        Write any two features of nuclear forces.


          • 3.
            Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

              • attract with a force \( \frac{F}{2} \)
              • repel with a force \( \frac{F}{2} \)
              • repel with a force \( F \)
              • attract with a force \( F \)

            • 4.
              If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.


                • 5.
                  What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?


                    • 6.
                      A long solenoid of length \( L \) and radius \( r_1 \) having \( N_1 \) turns is surrounded symmetrically by a coil of radius \( r_2 \, (r_2>r_1) \) having \( N_2 \) turns (\( N_2 \ll N_1 \)) around its mid-point. Derive an expression for the mutual inductance of solenoid and coil. Is \( M_{12} = M_{21} \) valid in this case?

                        CBSE CLASS XII Previous Year Papers

                        Comments


                        No Comments To Show