Capacitance key terms

Capacitance

Capacitance is defined as the amount of charge stored per unit potential difference across a capacitor.

Potential Difference

Potential difference is the work done per unit charge to move a charge between two points in an electric field.

Capacitance

Capacitance is defined as the charge stored per unit potential difference, expressed as C = Q/V, where C is capacitance in farads (F), Q is charge in coulombs (C), and V is potential difference in volts (V).

Capacitor Energy

The energy (E) stored in a capacitor can be calculated using the formula E = 0.5 x C x V^2, where E is energy in joules (J), C is capacitance in farads (F), and V is potential difference in volts (V).

Charge-Potential Graph

A graphical representation showing the relationship between charge stored in a capacitor and the potential difference across it.

Exponential Change

A mathematical description of how charge, current, or potential difference varies over time during the charging or discharging of a capacitor.

Capacitance

The ability of a system to store charge per unit potential difference, defined by the formula C = Q/V, where C is capacitance in farads, Q is charge in coulombs, and V is potential difference in volts.

Charging Curve

A graphical representation showing how the charge on a capacitor increases exponentially over time as it charges, typically characterized by a time constant in RC circuits.

Capacitance

The ability of a system to store charge per unit potential difference, defined by the formula C = Q/V, where C is capacitance in farads, Q is charge in coulombs, and V is potential difference in volts.

Electric Field

A region around charged objects where other charged objects experience a force, described by the formula E = F/Q, where E is the electric field strength in N/C, F is the force in newtons, and Q is the charge in coulombs.

Capacitance

The ability of a system to store charge per unit potential difference, defined by the formula C = Q/V, where C is capacitance in farads, Q is charge in coulombs, and V is potential difference in volts.

Charging Curve

A graphical representation of how the charge on a capacitor increases over time as it is charged, typically showing an exponential rise towards the maximum charge capacity.

Capacitance

The ability of a system to store charge per unit potential difference, defined by the formula C = Q / V, where C is capacitance (F), Q is charge (C), and V is potential difference (V).

Parallel Plate Capacitor

A type of capacitor consisting of two conductive plates separated by an insulating material, where the capacitance is affected by the area of the plates and the distance between them, described by the formula C = ε₀(A/d), where ε₀ is the permittivity of free space, A is the plate area, and d is the separation distance.

dielectric material

A substance that increases the capacitance of a capacitor when placed between its plates, reducing the electric field strength and allowing more charge to be stored.

capacitance

The ability of a capacitor to store charge per unit potential difference, defined as C = Q/V, where C is capacitance, Q is charge, and V is potential difference.

Capacitance

The ability of a system to store charge per unit potential difference, defined as C = Q/V.

Energy stored in a capacitor

The energy stored in a capacitor can be calculated using the formula E = 0.5 x C x V^2, where E is energy, C is capacitance, and V is potential difference.

Capacitance

The ability of a system to store charge per unit potential difference, defined by the formula C = Q/V, where C is capacitance in farads, Q is charge in coulombs, and V is potential difference in volts.

Energy Stored in a Capacitor

The energy stored in a capacitor can be calculated using the formula E = 0.5 x Q x V, where E is energy in joules, Q is charge in coulombs, and V is potential difference in volts.

Capacitor Energy Equation (Q = 1/2 CV^2)

This equation represents the energy (E) stored in a capacitor, where C is the capacitance and V is the potential difference across the capacitor.

Capacitor Energy Equation (E = QV)

This equation expresses the energy (E) stored in a capacitor as the product of charge (Q) stored and the potential difference (V) across the capacitor.

Capacitance

Capacitance is defined as the amount of charge stored per unit potential difference across a capacitor.

Energy Stored in a Capacitor

The energy (E) stored in a capacitor can be calculated using the formula E = 0.5 x Q x V, where Q is the charge and V is the potential difference.

Exponential charging curve

The voltage across a capacitor rises exponentially towards the supply voltage during charging, following V(t)=V0(1-e^{-t/RC}).

RC time constant (τ)

The product of resistance and capacitance (τ=RC) that determines the rate of charging or discharging; after one τ the voltage changes by about 63% of its final value.

Capacitance

The ability of a system to store charge per unit potential difference, defined by the formula C = Q/V, where C is capacitance in farads (F), Q is charge in coulombs (C), and V is potential difference in volts (V).

Time Constant

In an RC circuit, the time constant (τ) is the time taken for the charge or current to decrease to approximately 37% of its maximum value, calculated using τ = R x C, where R is resistance in ohms (Ω) and C is capacitance in farads (F).

Exponential decay

A process where a quantity decreases at a rate proportional to its current value, resulting in a rapid decrease initially that slows over time.

Exponential growth

A process where a quantity increases at a rate proportional to its current value, leading to rapid growth initially that accelerates over time.