Inverse Trigonometry

Question 1

What is the formula for Coulomb’s Law?

Answer 1

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

Question 2

In Coulomb’s Law, what does ‘k’ represent?

Answer 2

‘k’ is the electrostatic constant, approximately 8.99 x 10^9 N m^2/C^2.

Question 3

True or False: The force between two charges is directly proportional to the product of the magnitudes of the charges.

Answer 3

True

Question 4

What is the unit of electric charge?

Answer 4

Coulomb (C)

Question 5

Fill in the blank: The electric field (E) due to a point charge (Q) is given by the formula ______.

Answer 5

E = k * |Q| / r^2

Question 6

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

Answer 6

V = k * Q / r

Question 7

What does ‘r’ represent in electrostatic formulas?

Answer 7

‘r’ represents the distance from the charge to the point where the field or potential is being calculated.

Question 8

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

Answer 8

E = -dV/dx

Question 9

True or False: Electric field lines can cross each other.

Answer 9

False

Question 10

What is the principle of superposition in electrostatics?

Answer 10

The net electric field due to multiple charges is the vector sum of the electric fields due to each charge.

Question 11

What is the formula for the potential energy (U) of a system of two point charges?

Answer 11

U = k * (q1 * q2) / r

Question 12

True or False: Electric field is a scalar quantity.

Answer 12

False

Question 13

What is the formula for calculating the electric field due to a dipole?

Answer 13

E = (1/4πε₀) * (2p * cos(θ) / r^3)

Question 14

What does ‘p’ represent in the dipole electric field formula?

Answer 14

‘p’ is the dipole moment, defined as p = q * d, where ‘q’ is the charge and ‘d’ is the separation distance.

Question 15

Fill in the blank: The energy stored in an electric field is given by the formula ______.

Answer 15

U = (1/2) * ε₀ * E^2 * V

Question 16

What is the unit of electric field?

Answer 16

N/C (Newtons per Coulomb)

Question 17

What is Gauss’s Law?

Answer 17

Φ_E = ∮ E · dA = Q_enc / ε₀

Question 18

In Gauss’s Law, what does ‘Φ_E’ represent?

Answer 18

‘Φ_E’ is the electric flux through a closed surface.

Question 19

True or False: The electric field inside a conductor in electrostatic equilibrium is zero.

Answer 19

True

Question 20

What is the formula for capacitance (C)?

Answer 20

C = Q / V

Question 21

What is the unit of capacitance?

Answer 21

Farad (F)

Question 22

What is the formula for the energy stored in a capacitor?

Answer 22

U = (1/2) * C * V^2

Question 23

What is the relationship between charge (Q), voltage (V), and capacitance (C) in a capacitor?

Answer 23

Q = C * V

Question 24

Fill in the blank: The electric field between two parallel plates is given by the formula ______.

Answer 24

E = V/d

Question 25

True or False: The direction of electric field lines is from negative to positive charge.

Answer 25

False

Question 26

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

Answer 26

F = qE