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Here are the key derivations from NCERT Physics Class 12 Part 1 that are likely to be asked in your exams:
Chapter 1: Electric Charges and Fields
- Derivation of Coulomb’s Law: Expression for the force between two point charges.
- Electric Field due to a Dipole: On the axial and equatorial line.
- Gauss’s Law: Application to derive the electric field due to: - An infinitely long straight uniformly charged wire.
- A uniformly charged infinite plane sheet.
- A uniformly charged thin spherical shell (both inside and outside).
Chapter 2: Electrostatic Potential and Capacitance
- Electric Potential due to a Point Charge: Derivation of the potential at a point due to a charge.
- Relation between Electric Field and Electric Potential: \( E = -\frac{dV}{dr} \).
- Capacitance of a Parallel Plate Capacitor: Derivation including the effect of a dielectric medium.
Chapter 3: Current Electricity
- Derivation of Ohm’s Law: Relation between current, voltage, and resistance.
- Derivation of the Resistivity of a Material: Dependence on temperature.
- Kirchhoff's Laws: Application to simple circuits (Loop and Junction Rules).
- Wheatstone Bridge: Derivation of the condition for balanced Wheatstone Bridge.
- Meter Bridge: Principle and derivation of the formula for unknown resistance.
Chapter 4: Moving Charges and Magnetism
- Biot-Savart Law: Derivation and application to find the magnetic field due to a current element at a point on the axis of a circular current loop.
- Ampere’s Circuital Law: Application to derive the magnetic field inside a long straight solenoid and a toroid.
- Force on a Moving Charge in a Uniform Magnetic Field: Derivation of the force and its direction (Lorentz Force).
- Motion of a Charged Particle in a Uniform Magnetic Field: Derivation of radius and time period of circular motion.
Chapter 5: Magnetism and Matter
- Magnetic Dipole in a Uniform Magnetic Field: Derivation of torque on a dipole in a uniform magnetic field.
- Magnetic Field on the Axis of a Solenoid: Derivation of the magnetic field inside and outside the solenoid.
Chapter 6: Electromagnetic Induction
- Faraday’s Laws of Electromagnetic Induction: Derivation of induced EMF in a coil.
- Self-Inductance: Derivation of the self-inductance of a solenoid.
- Mutual Inductance: Derivation of the mutual inductance between two coaxial solenoids.
Chapter 7: Alternating Current
- Derivation of the RMS Value of AC: Root mean square value of current and voltage.
- Derivation of the Power in an AC Circuit: Derivation of average power in terms of RMS values.
- LC Oscillations: Derivation of the expression for the angular frequency of LC oscillations.
- Series LCR Circuit: Derivation of the impedance and phase angle.
Chapter 8: Electromagnetic Waves
- Maxwell’s Equations: Derivation and interpretation (without proof).
- Displacement Current: Concept and derivation of the expression.
Focusing on these derivations should give you a strong foundation for your exam. If you need detailed explanations for any of these, just let me know!
Here's a list of key examples and types of numerical problems from NCERT Physics Class 12 Part 1 that have a high probability of being asked in a Exam:
Chapter 1: Electric Charges and Fields
1. Coulomb’s Law: Calculating the force between two point charges.
2. Electric Field due to a Point Charge: Finding the electric field at a given distance.
3. Electric Dipole: Calculating the potential and field at axial and equatorial points.
4. Gauss’s Law Applications:
- Electric field due to a charged wire, sheet, or spherical shell.
Chapter 2: Electrostatic Potential and Capacitance
1. Electric Potential: Calculation for a point charge or system of charges.
2. Capacitance:
- Parallel plate capacitor: Calculating capacitance with and without a dielectric.
- Series and parallel combinations of capacitors: Finding equivalent capacitance.
- Energy stored in a capacitor.
Chapter 3: Current Electricity
1. Ohm’s Law: Calculating current, voltage, and resistance in simple circuits.
2. Resistivity: Finding resistance of a material given its dimensions and resistivity.
3. Kirchhoff’s Laws:
- Application to find currents in different branches of a circuit.
4. Wheatstone Bridge: Determining unknown resistance using the bridge.
5. Meter Bridge: Calculating the value of an unknown resistance.
Chapter 4: Moving Charges and Magnetism
1. Magnetic Field due to a Current Element (Biot-Savart Law): Calculations for circular loops and straight wires.
2. Ampere’s Circuital Law: Finding the magnetic field inside a solenoid or toroid.
3. Lorentz Force: Calculating force on a charge moving in a magnetic field.
4. Motion of Charged Particles in Magnetic Fields: Finding the radius and time period of the particle’s motion.
Chapter 5: Magnetism and Matter
1. Magnetic Dipole in Uniform Magnetic Field: Calculating torque and potential energy.
2. Magnetic Field on the Axis of a Solenoid: Finding the magnetic field strength inside and outside the solenoid.
Chapter 6: Electromagnetic Induction
1. Faraday’s Laws: Calculating induced EMF and current in a loop due to changing magnetic flux.
2. Self-Inductance: Finding the inductance of a solenoid and energy stored in the magnetic field.
3. Mutual Inductance: Calculating mutual inductance between two coils.
Chapter 7: Alternating Current
1. RMS Values: Calculating RMS values of current and voltage in AC circuits.
2. Power in AC Circuits: Determining power consumed in resistive, inductive, and capacitive circuits.
3. Series LCR Circuit: Calculating impedance, resonance frequency, and phase angle.
4. LC Oscillations: Finding the angular frequency of oscillations in an LC circuit.
Chapter 8: Electromagnetic Waves
1. Maxwell’s Equations: Numerical applications based on the equations (conceptual understanding is usually tested more).
Miscellaneous Numericals
- Combination of Capacitors: Finding the charge, potential difference, and energy stored in capacitors connected in series or parallel.
- Calculating Electric Field or Potential due to a Continuous Charge Distribution: Examples involving line charges, surface charges, and volume charges.
- Motion in Magnetic and Electric Fields : Solving problems that involve the simultaneous effect of electric and magnetic fields on charged particles.
These examples cover a wide range of possible numerical problems. If you want to dive deeper into any specific type of problem or need detailed solutions, feel free to ask!
THIS POST INCLUDE A LIST OF ALL POSSIBLE DERIVATION THAT MIGHT GET ASKED IN YOUR EXAM OF CLASS 12 ISC BOARD AND IS ALSO RELEVANT TO CBSE AND GSCB BOARDS
FIRSTLY, The list of all the derivation in part one "HANDWRITTEN"
SECONDLY, here is another typed list of the same
Here are the key derivations from NCERT Physics Class 12 Part 1 that are likely to be asked in your exams:
Chapter 1: Electric Charges and Fields
- Derivation of Coulomb’s Law: Expression for the force between two point charges.
- Electric Field due to a Dipole: On the axial and equatorial line.
- Gauss’s Law: Application to derive the electric field due to: - An infinitely long straight uniformly charged wire.
- A uniformly charged infinite plane sheet.
- A uniformly charged thin spherical shell (both inside and outside).
Chapter 2: Electrostatic Potential and Capacitance
- Electric Potential due to a Point Charge: Derivation of the potential at a point due to a charge.
- Relation between Electric Field and Electric Potential: \( E = -\frac{dV}{dr} \).
- Capacitance of a Parallel Plate Capacitor: Derivation including the effect of a dielectric medium.
Chapter 3: Current Electricity
- Derivation of Ohm’s Law: Relation between current, voltage, and resistance.
- Derivation of the Resistivity of a Material: Dependence on temperature.
- Kirchhoff's Laws: Application to simple circuits (Loop and Junction Rules).
- Wheatstone Bridge: Derivation of the condition for balanced Wheatstone Bridge.
- Meter Bridge: Principle and derivation of the formula for unknown resistance.
Chapter 4: Moving Charges and Magnetism
- Biot-Savart Law: Derivation and application to find the magnetic field due to a current element at a point on the axis of a circular current loop.
- Ampere’s Circuital Law: Application to derive the magnetic field inside a long straight solenoid and a toroid.
- Force on a Moving Charge in a Uniform Magnetic Field: Derivation of the force and its direction (Lorentz Force).
- Motion of a Charged Particle in a Uniform Magnetic Field: Derivation of radius and time period of circular motion.
Chapter 5: Magnetism and Matter
- Magnetic Dipole in a Uniform Magnetic Field: Derivation of torque on a dipole in a uniform magnetic field.
- Magnetic Field on the Axis of a Solenoid: Derivation of the magnetic field inside and outside the solenoid.
Chapter 6: Electromagnetic Induction
- Faraday’s Laws of Electromagnetic Induction: Derivation of induced EMF in a coil.
- Self-Inductance: Derivation of the self-inductance of a solenoid.
- Mutual Inductance: Derivation of the mutual inductance between two coaxial solenoids.
Chapter 7: Alternating Current
- Derivation of the RMS Value of AC: Root mean square value of current and voltage.
- Derivation of the Power in an AC Circuit: Derivation of average power in terms of RMS values.
- LC Oscillations: Derivation of the expression for the angular frequency of LC oscillations.
- Series LCR Circuit: Derivation of the impedance and phase angle.
Chapter 8: Electromagnetic Waves
- Maxwell’s Equations: Derivation and interpretation (without proof).
- Displacement Current: Concept and derivation of the expression.
Focusing on these derivations should give you a strong foundation for your exam. If you need detailed explanations for any of these, just let me know!
thirdly, here is a list which gives how many and which type of numericals can be aske din exam
Here's a list of key examples and types of numerical problems from NCERT Physics Class 12 Part 1 that have a high probability of being asked in a Exam:
Chapter 1: Electric Charges and Fields
1. Coulomb’s Law: Calculating the force between two point charges.
2. Electric Field due to a Point Charge: Finding the electric field at a given distance.
3. Electric Dipole: Calculating the potential and field at axial and equatorial points.
4. Gauss’s Law Applications:
- Electric field due to a charged wire, sheet, or spherical shell.
Chapter 2: Electrostatic Potential and Capacitance
1. Electric Potential: Calculation for a point charge or system of charges.
2. Capacitance:
- Parallel plate capacitor: Calculating capacitance with and without a dielectric.
- Series and parallel combinations of capacitors: Finding equivalent capacitance.
- Energy stored in a capacitor.
Chapter 3: Current Electricity
1. Ohm’s Law: Calculating current, voltage, and resistance in simple circuits.
2. Resistivity: Finding resistance of a material given its dimensions and resistivity.
3. Kirchhoff’s Laws:
- Application to find currents in different branches of a circuit.
4. Wheatstone Bridge: Determining unknown resistance using the bridge.
5. Meter Bridge: Calculating the value of an unknown resistance.
Chapter 4: Moving Charges and Magnetism
1. Magnetic Field due to a Current Element (Biot-Savart Law): Calculations for circular loops and straight wires.
2. Ampere’s Circuital Law: Finding the magnetic field inside a solenoid or toroid.
3. Lorentz Force: Calculating force on a charge moving in a magnetic field.
4. Motion of Charged Particles in Magnetic Fields: Finding the radius and time period of the particle’s motion.
Chapter 5: Magnetism and Matter
1. Magnetic Dipole in Uniform Magnetic Field: Calculating torque and potential energy.
2. Magnetic Field on the Axis of a Solenoid: Finding the magnetic field strength inside and outside the solenoid.
Chapter 6: Electromagnetic Induction
1. Faraday’s Laws: Calculating induced EMF and current in a loop due to changing magnetic flux.
2. Self-Inductance: Finding the inductance of a solenoid and energy stored in the magnetic field.
3. Mutual Inductance: Calculating mutual inductance between two coils.
Chapter 7: Alternating Current
1. RMS Values: Calculating RMS values of current and voltage in AC circuits.
2. Power in AC Circuits: Determining power consumed in resistive, inductive, and capacitive circuits.
3. Series LCR Circuit: Calculating impedance, resonance frequency, and phase angle.
4. LC Oscillations: Finding the angular frequency of oscillations in an LC circuit.
Chapter 8: Electromagnetic Waves
1. Maxwell’s Equations: Numerical applications based on the equations (conceptual understanding is usually tested more).
Miscellaneous Numericals
- Combination of Capacitors: Finding the charge, potential difference, and energy stored in capacitors connected in series or parallel.
- Calculating Electric Field or Potential due to a Continuous Charge Distribution: Examples involving line charges, surface charges, and volume charges.
- Motion in Magnetic and Electric Fields : Solving problems that involve the simultaneous effect of electric and magnetic fields on charged particles.
These examples cover a wide range of possible numerical problems. If you want to dive deeper into any specific type of problem or need detailed solutions, feel free to ask!
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