List of equations: 1. Coulomb’s Law: F = kq1q2/r^2 2. Electric Field of a point charge: E = kq/r^2 3. Force on a charge in an Electric Field: F = qE 4. Electric potential energy: U = qV 5. Electric potential of a charge: V = kq/r 6. Electric Current: I = q/t 7. Ohm’s Law: V = IR 8. Power: P = IV = I^2R = V^2/R 9. Magnetic force on a moving charge: F = qvBsin(theta) 10. Force on a current carrying wire: F = BILsin(theta) 11. Torque on a loop of N turns of wire: T = NIABsin(theta) 12. Magnetic field of a long straight wire: B = (mu0I)/(2pir) 13. Magnetic Flux: Phi = BAcos(theta) 14. Induced emf (voltage) in a coil: E = -N(dPhi/dt) 15. Mirror/Thin lens equation: 1/f = 1/do + 1/di 16. Doppler Shift: f’ = f(1 + v/c) 17. Interference: mlambda = dsin(theta) (bright) or (m + 1/2)lambda = dsin(theta) (dark) 18. Energy of a photon: E = hf = hc/lambda, h = 6.6310^-34 Js, c = 310^8 m/s 19. Photoelectric Effect: Kmax = hf – Wo 20. Radioactive decay: N = Noe^(-lambda*t)
The Correct Answer and Explanation is:
Correct Answer: This is a list of fundamental equations in electricity, magnetism, optics, and modern physics. Each expression connects physical quantities central to understanding how energy, forces, and motion behave under different conditions.
Explanation
These 20 equations form the backbone of classical and modern physics.
- Coulomb’s Law: Describes the force between two point charges, where the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
- Electric Field of a Point Charge: Indicates how a charge generates an electric field in the surrounding space, influencing other charges.
- Force on a Charge in an Electric Field: Calculates the force a charge experiences when placed in an electric field.
- Electric Potential Energy: Measures the stored energy due to a charge’s position within an electric field.
- Electric Potential (Voltage): Defines the work done per unit charge in bringing a small positive test charge from infinity to a point.
- Electric Current: Expresses current as the rate of flow of electric charge over time.
- Ohm’s Law: Relates voltage, current, and resistance in a conductor.
- Power in Electric Circuits: Offers three interchangeable forms to calculate electrical power depending on known variables.
- Magnetic Force on a Moving Charge: Computes the force on a charge moving through a magnetic field, dependent on the angle between velocity and the field.
- Force on a Current-Carrying Wire: Similar to equation 9 but for a wire with current.
- Torque on a Wire Loop: Describes the rotational force on a loop of wire in a magnetic field.
- Magnetic Field of a Straight Wire: Gives the magnetic field strength around a current-carrying wire.
- Magnetic Flux: Quantifies the total magnetic field passing through a given area.
- Induced EMF: Shows how a changing magnetic flux induces voltage in a coil.
- Mirror/Lens Equation: Used to find image or object distances in geometric optics.
- Doppler Shift: Adjusts frequency for relative motion between source and observer.
- Interference Equations: Determine the conditions for constructive or destructive interference in waves.
- Photon Energy: Connects a photon’s energy with frequency or wavelength.
- Photoelectric Effect: Defines the maximum kinetic energy of electrons ejected by light.
- Radioactive Decay: Models how the number of radioactive nuclei decreases over time.
Mastery of these equations enables strong comprehension of physics across many fields.
