A current of 1 ampere flows in a series circuit containing an electric lamp and a conductor of 5 Ω when connected to a 10 V battery. Calculate the resistance of the electric lamp. Now if a resistance of 10 Ω is connected in parallel with this series combination, what change (if any) in current flowing through 5 Ω conductor and potential difference across the lamp will take place? Give reason.

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/R_p = 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

Read More:

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

CBSE CLASS XII Related Questions

1.
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 \( F \)

View Solution

2.
Write the expression for the magnetic field due to a current element in vector form. Consider a 1 cm segment of a wire, centered at the origin, carrying a current of 10 A in positive x-direction. Calculate the magnetic field \( \mathbf{B} \) at a point \( (1 \, \text{m}, 1 \, \text{m}, 0) \).

View Solution

3.
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?

View Solution

4.
If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

View Solution

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?

View Solution

6.
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.

View Solution

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.

Related Questions

CBSE CLASS XII Related Questions

1.
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:

2.
Write the expression for the magnetic field due to a current element in vector form. Consider a 1 cm segment of a wire, centered at the origin, carrying a current of 10 A in positive x-direction. Calculate the magnetic field \( \mathbf{B} \) at a point \( (1 \, \text{m}, 1 \, \text{m}, 0) \).

4.
If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? 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.
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.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

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.

Related Questions

CBSE CLASS XII Related Questions

1.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:

2.Write the expression for the magnetic field due to a current element in vector form. Consider a 1 cm segment of a wire, centered at the origin, carrying a current of 10 A in positive x-direction. Calculate the magnetic field \( \mathbf{B} \) at a point \( (1 \, \text{m}, 1 \, \text{m}, 0) \).

4. If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? 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.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.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
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:

2.
Write the expression for the magnetic field due to a current element in vector form. Consider a 1 cm segment of a wire, centered at the origin, carrying a current of 10 A in positive x-direction. Calculate the magnetic field \( \mathbf{B} \) at a point \( (1 \, \text{m}, 1 \, \text{m}, 0) \).

4.
If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? 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.
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.