Electrostatics

Question 2

What is the formula for Coulomb’s Law?

Answer 2

F = k * |q1 * q2| / r^2

Question 3

What does ‘k’ represent in Coulomb’s Law?

Answer 3

k is the Coulomb’s constant, approximately 8.99 x 10^9 N m²/C².

Question 4

What is the unit of electric charge?

Answer 4

The unit of electric charge is the Coulomb (C).

Question 5

What is the formula for electric field (E) due to a point charge?

Answer 5

E = k * |q| / r^2

Question 6

What is the relationship between electric field (E) and force (F) on a charge (q)?

Answer 6

F = q * E

Question 7

What is the formula for electric potential (V) due to a point charge?

Answer 7

V = k * q / r

Question 8

How is electric potential energy (U) calculated?

Answer 8

U = q * V

Question 9

What is the formula for the capacitance (C) of a parallel plate capacitor?

Answer 9

C = ε₀ * A / d

Question 10

What does ‘ε₀’ represent in the capacitance formula?

Answer 10

ε₀ is the permittivity of free space, approximately 8.85 x 10^-12 C²/(N m²).

Question 11

What is the formula for energy stored in a capacitor?

Answer 11

U = 1/2 * C * V^2

Question 12

What is the formula for the electric field (E) between the plates of a parallel plate capacitor?

Answer 12

E = V / d

Question 13

What is the formula for the dielectric constant (κ)?

Answer 13

κ = C / C₀

Question 14

What is the relationship between total charge (Q), capacitance (C), and potential difference (V)?

Answer 14

Q = C * V

Question 15

What is Gauss’s Law?

Answer 15

Φ_E = ∮ E • dA = Q_enc / ε₀

Question 16

What does ‘Φ_E’ represent in Gauss’s Law?

Answer 16

Φ_E is the electric flux through a closed surface.

Question 17

What is the formula for the electric field due to an infinite line charge?

Answer 17

E = (λ / (2πε₀r))

Question 18

What does ‘λ’ represent in the electric field formula for an infinite line charge?

Answer 18

λ is the linear charge density.

Question 19

What is the formula for the electric field due to an infinite plane sheet of charge?

Answer 19

E = σ / (2ε₀)

Question 20

What does ‘σ’ represent in the electric field formula for an infinite plane sheet of charge?

Answer 20

σ is the surface charge density.

Question 21

What is the formula for electric potential due to a uniformly charged sphere?

Answer 21

V = (k * Q) / r for r > R, and V = (k * Q) / R for r ≤ R.

Question 22

What is the formula for the electric field inside a uniformly charged sphere?

Answer 22

E = 0 for r < R.

Question 23

What is the formula for the electric field outside a uniformly charged sphere?

Answer 23

E = k * Q / r^2 for r > R.

Question 24

What is the formula for the potential energy of two point charges?

Answer 24

U = k * (q1 * q2) / r

Question 25

What is the relationship between electric field (E) and potential difference (V)?

Answer 25

E = -dV/dx

Question 26

What is the formula for the force between two charges in terms of electric field?

Answer 26

F = q * E

Question 27

What is the formula for the torque (τ) experienced by a dipole in an electric field?

Answer 27

τ = p × E

Question 28

What does 'p' represent in the torque formula for a dipole?

Answer 28

p is the electric dipole moment.

Question 29

What is the formula for the potential energy (U) of an electric dipole in a uniform electric field?

Answer 29

U = -p • E

Question 30

What is the formula for the electric flux through a surface?

Answer 30

Φ_E = E • A • cos(θ)

Question 31

What is the formula for the force on a charge in a magnetic field?

Answer 31

F = q(v × B)

Question 32

What is the formula for the electric field due to a dipole at a point along the axis?

Answer 32

E = (1 / (4πε₀)) * (2p / r^3)

Question 33

What is the formula for the electric field due to a dipole at a point perpendicular to the axis?

Answer 33

E = (1 / (4πε₀)) * (p / 2r^3)

Question 34

What is the formula for the energy density (u) in an electric field?

Answer 34

u = (1/2) * ε * E^2

Question 35

What is the formula for the total energy stored in an electric field?

Answer 35

U_total = (1/2) * ε * E^2 * Volume

Question 36

What is the principle of superposition in electrostatics?

Answer 36

The total electric field is the vector sum of the individual electric fields due to each charge.

Question 37

What is the formula for the resultant electric field due to multiple point charges?

Answer 37

E_total = E1 + E2 + E3 + ... (vector sum)