- State Coulomb's law and explain the significance of electric field intensity.
- Derive the expression for electric potential due to a point charge.
- Define electric field intensity and explain its significance.
- Explain Gauss's law and derive the expression for the electric field due to an infinite plane sheet of charge.
- Explain the principle of a Van de Graaff generator and how it works.
- State the principle of a capacitor and derive the expression for the capacitance of a parallel plate capacitor.
- Derive the expression for electric field intensity due to a uniformly charged spherical shell.
- Two point charges, +q and -q, are placed at a distance d apart. Calculate the electric field at a point P on the line joining the charges and at a distance x from -q.
- A parallel plate capacitor is charged with a battery and then disconnected from it. How does the electric field and potential difference between the plates change as the distance between the plates is increased?
- Derive the expression for electric field intensity at a point due to a uniformly charged thin circular ring.
- Explain the concept of electric flux and derive the expression for the electric flux through a spherical surface of radius R centered at a point charge Q.
- A conducting sphere of radius R is charged with a charge Q. Derive the expression for the electric field inside and outside the sphere.
- Define dipole moment and explain its significance.
- Derive the expression for the electric field intensity due to an electric dipole at a point on the axial line.
- Define potential difference and explain its significance.
- Derive the expression for the electric potential due to a uniformly charged thin spherical shell.
- Two charges, +q and -q, are placed at a distance d apart. Calculate the electric potential at a point P on the line joining the charges and at a distance x from -q.
- State the principle of a cyclotron and explain how it works.
- Define dielectric constant and explain its significance.
- Derive the expression for the capacitance of a spherical capacitor.
- Derive the expression for the electric field intensity due to a uniformly charged thin infinite plane sheet.
- Define polarisation and explain its significance.
- Derive the expression for the electric potential due to a uniformly charged solid sphere.
- Derive the expression for the electric field intensity due to a uniformly charged thin rectangular sheet.
- Define magnetic field intensity and explain its significance.
- State Ampere's circuital law and derive the expression for the magnetic field due to an infinitely long straight current-carrying wire.
- Derive the expression for the magnetic field due to a circular loop carrying current.
- Define magnetic moment and explain its significance.
- Derive the expression for the magnetic field due to a current-carrying coil at a point on the axis.
- State the principle of a moving coil galvanometer and explain how it works.
- Define electromagnetic induction and explain its significance.
- State Faraday's laws of electromagnetic induction and Lenz's law.
- Derive the expression for the induced emf in a straight conductor moving in a uniform magnetic field.
- Derive the expression for the self-inductance of a solenoid.
- Define mutual inductance and explain its significance.
- Derive the expression for the mutual inductance of two coaxial solenoids.
- State the principle of a transformer and derive the expression for the voltage ratio in an ideal transformer.
- Define AC circuit and explain its significance.
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