Physics: Electricity & Magnetism

What is the mathematical relationship between the electrostatic force and the distance between two point charges according to Coulomb's Law?

The force is inversely proportional to the square of the distance (1/r^2) between the charges.

State Ohm's Law in terms of voltage (V), current (I), and resistance (R).

V = I * R, where voltage equals current multiplied by resistance.

How do you calculate the equivalent resistance for a set of resistors connected in series?

The total resistance is the sum of the individual resistances (R_total = R1 + R2 + ... + Rn).

Define capacitance (C) in terms of charge (Q) and potential difference (V).

Capacitance is the ratio of the magnitude of charge on either conductor to the potential difference between them (C = Q/V).

What is the SI unit for magnetic field strength (B)?

The Tesla (T), which is equivalent to one Newton per Ampere-meter (N/(A·m)).

In what direction do electric field lines point relative to positive and negative source charges?

Electric field lines point radially away from positive charges and radially toward negative charges.

How is the electric field (E) related to the electric potential (V) in a one-dimensional system?

The electric field is the negative gradient of the electric potential (E = -dV/dx).

How does the total capacitance of capacitors in parallel compare to the individual capacitances?

The total capacitance is the sum of the individual capacitances (C_total = C1 + C2 + ... + Cn).

Which physical principle is the basis for Kirchhoff's Voltage Law (KVL)?

The law of conservation of energy, stating that the sum of potential differences around any closed loop is zero.

Write the formula for the Lorentz force acting on a charge 'q' moving with velocity 'v' in both electric (E) and magnetic (B) fields.

F = q(E + v × B), where '×' denotes the vector cross product.