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.

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.

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.

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

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 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.

Fringe separation is directly proportional to the distance from the slits to the screen. Increasing this distance increases the fringe separation.

Efficiency = 1 - (T_c/T_h) = 1 - (300/600) = 0.5.

Efficiency = 1 - (T2/T1) = 1 - (300/500) = 0.4 or 40%.

Efficiency (η) = 1 - (T_c/T_h) = 1 - (300/600) = 0.5 or 50%.

Efficiency (η) = 1 - (T2/T1) = 1 - (300/500) = 0.4 or 40%.

The electric field (E) due to a point charge (q) at a distance (r) is given by E = k * q / r^2, where k is Coulomb's constant.

E = k * |q| / r^2 = (9 × 10^9) * (3 × 10^-6) / (0.3)^2 = 90 N/C.

V = k * q / r = (9 × 10^9) * (5 × 10^-6) / 0.4 = 112.5 V.

Using the formula 1/R_eq = 1/R1 + 1/R2, we get 1/R_eq = 1/4 + 1/4 = 1/2, thus R_eq = 2Ω.

Using the formula 1/R_eq = 1/R1 + 1/R2, we get 1/R_eq = 1/4 + 1/12 = 1/3, so R_eq = 3Ω.

Using heat balance: m_ice * L_f + m_water * c * (T_final - 80) = 0. Solving gives T_final = 20°C.

Using the principle of conservation of energy, the heat lost by water equals the heat gained by ice. Solving gives a final temperature of 20°C.

Using Coulomb's law, F = k * |q1 * q2| / r^2 = (9 × 10^9) * |2 × 10^-6 * -3 × 10^-6| / (0.5)^2 = -24 N.

The formula for gravitational force is F = G(m1m2)/r², where G is the gravitational constant.