When a magnet is cut into two pieces, each piece becomes a magnet with its own north and south poles, thus maintaining the magnetic field lines.

The magnetic field strength inside a solenoid increases with the number of turns, as it is directly proportional to the number of turns per unit length.

The magnetic field strength inside a solenoid is directly proportional to the number of turns per unit length. Therefore, if the number of turns per unit length is increased, the magnetic field strength also increases.

When the current in a solenoid is reversed, the direction of the magnetic field also reverses.

The magnetic field around a long straight conductor decreases with distance. Specifically, it is inversely proportional to the distance from the conductor.

Removing a branch in a parallel circuit decreases the total current.

The base unit of temperature in the SI system is Kelvin (K).

C = Q/V = 10 × 10^-6 C / 5 V = 2 × 10^-6 F = 2 µF.

Capacitive reactance Xc = 1 / (2πfC) = 1 / (2π * 60 * 10e-6) = 265.26Ω.

Xc = 1 / (2πfC) = 1 / (2π × 50 × 10 × 10^-6) = 318.31 ohms.

ΔS = Q/T = 2260 kJ / 373 K = 6.06 kJ/K.

Change in internal energy (ΔU) = Q - W = 300 J - 100 J = 200 J.

Using the first law of thermodynamics, ΔU = Q - W = 200 J - 50 J = 150 J.

Using the first law of thermodynamics: ΔU = Q - W = 300 J - 100 J = 200 J.

Using Ohm's law, I = V/R = 20V / 10Ω = 2A.

Using Ohm's law, I = V/R = 24V / 12Ω = 2A.

Using Ohm's law, I = V/R = 48V / 12Ω = 4A.

Using Ohm's law, I = V/R = 45V / 15Ω = 3A.

λ = h / p = h / (mv) = 6.63 x 10^-34 / (9.11 x 10^-31 * 1 x 10^6) = 6.63 x 10^-24 m.

The direction of the magnetic field around a straight conductor carrying current is counterclockwise when viewed from the positive end of the conductor.

The direction of the magnetic field inside a bar magnet is from the north pole to the south pole.

Inserting a dielectric material increases the capacitance of a capacitor by reducing the electric field within it.

Increasing capacitance increases the current in a capacitive AC circuit, as current I = V/Xc.

Increasing the current in a coil increases the magnetic field produced by the coil.

Increasing the current in a solenoid increases its magnetic field strength, as the magnetic field is directly proportional to the current.

Capacitive reactance Xc = 1/(2πfC), so increasing frequency decreases Xc.

The impedance of a capacitor decreases with increasing frequency.

Inductive reactance Xl = ωL increases with frequency since Xl = 2πfL.

The total impedance can increase or decrease depending on the relationship between R, XL, and XC as frequency changes.

Increasing the number of turns in a coil increases the magnetic field strength produced by it, as the field strength is directly proportional to the number of turns.