The energy stored in a capacitor is given by U = 1/2 CV^2, which shows it is proportional to both charge and voltage.

The energy (U) stored in a capacitor is given by the formula U = 1/2 CV^2, where C is capacitance and V is voltage.

Potential energy is the energy stored in an object due to its position or configuration.

The enthalpy change for a reaction can be calculated using bond energies, standard enthalpies of formation, and calorimetry.

A positive enthalpy change indicates that the reaction absorbs heat, thus it is endothermic.

The enthalpy of vaporization is the heat required to convert a liquid into a gas at constant temperature and pressure.

The enthalpy of vaporization of water is approximately 40.79 kJ/mol.

The enthalpy of vaporization of water is approximately 2260 kJ/mol.

For a phase transition at constant temperature, the change in entropy is given by ΔS = ΔH/T, where ΔH is the enthalpy change.

The change in entropy for a reaction is calculated using the formula ΔS = ΣS(products) - ΣS(reactants).

According to the third law of thermodynamics, the entropy of a perfect crystal at absolute zero is zero.

According to the third law of thermodynamics, the entropy of a perfect crystal at absolute zero is zero, which is the minimum value.

The third law of thermodynamics states that the entropy of a perfect crystal approaches zero as the temperature approaches absolute zero.

According to the third law of thermodynamics, the entropy of a perfect crystal at absolute zero is exactly zero.

The third law of thermodynamics states that the entropy of a perfect crystalline substance approaches zero as the temperature approaches absolute zero.

According to the third law of thermodynamics, the entropy of a perfect crystalline substance at absolute zero is exactly zero.

According to the third law of thermodynamics, the entropy of a perfect crystalline substance at absolute zero is zero.

Parallel lines have the same slope. Using point-slope form: y - 1 = 2(x - 1) => y = 2x - 1.

Slope = (6-2)/(3-1) = 2. Using point-slope form: y - 2 = 2(x - 1) => y = 2x.

Slope = (6-2)/(3-1) = 2. Using point-slope form: y - 2 = 2(x - 1) => y = 2x.

Using point-slope form: y - 3 = 2(x - 1) => y = 2x + 1.

The length of the latus rectum for the parabola x^2 = 4py is given by 4p. Here, 4p = 16, so p = 4. Thus, the length of the latus rectum is 4p = 16.

The distance from the vertex to the focus is 3, so the equation is x^2 = 12y.

Rewriting gives x^2/9 + y^2/4 = 1. Here, a^2 = 9, b^2 = 4, c = √(a^2 - b^2) = √(9 - 4) = √5. Eccentricity e = c/a = √5/3 ≈ 0.6.

The equation of an ellipse with foci at (0, ±c) and major axis along the y-axis is y^2/a^2 + x^2/b^2 = 1.

In the equation of motion for simple harmonic motion, φ is the phase constant, which determines the initial position of the oscillator.

A represents the amplitude of the oscillation, which is the maximum displacement from the mean position.

The equation of state for an ideal gas is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the universal gas constant, and T is the temperature in Kelvin.

The directrix of the parabola y^2 = 8x is given by x = -2.

Slope = (6-2)/(3-1) = 2. Using point-slope form: y - 2 = 2(x - 1) => y = 2x.