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Define capacitance.

The ability of a component or circuit to collect and store energy in the form of an electrical charge.

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Define capacitance.
The ability of a component or circuit to collect and store energy in the form of an electrical charge.
Define steady state in a DC circuit with capacitors.
The condition where the capacitor is fully charged and no current flows through it, acting like an open switch.
Define time constant (ฯ„) for an RC circuit.
ฯ„ = RC, the time it takes for a capacitor to charge to about 63% of its max voltage or discharge to about 37% of its initial voltage.
Define equivalent capacitance for capacitors in series.
The total capacitance of multiple capacitors in series, calculated using the reciprocal formula: $\frac{1}{C_{total}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3} + ...$
Define equivalent capacitance for capacitors in parallel.
The total capacitance of multiple capacitors in parallel, calculated by directly adding the individual capacitances: $C_{total} = C_1 + C_2 + C_3 + ...$
How do you find the total capacitance of capacitors in series?
Use the reciprocal addition formula: \(\frac{1}{C_{total}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3} + ...\)
How do you find the total capacitance of capacitors in parallel?
Add the capacitances directly: \(C_{total} = C_1 + C_2 + C_3 + ...\)
Describe the process of charging a capacitor in an RC circuit.
Initially, current flows freely. As the capacitor charges, the voltage across it increases until it equals the source voltage, at which point current stops flowing.
Describe the process of discharging a capacitor in an RC circuit.
The capacitor releases its stored charge through the resistor, with the voltage and current decreasing exponentially over time.
What happens to the voltage across a capacitor in a DC circuit over time?
The voltage across the capacitor increases over time until it reaches the voltage of the source, after which it remains constant.
Compare capacitors in series vs. parallel regarding total charge.
Series: Charge is the same on each capacitor ($Q_{total} = Q_1 = Q_2 = Q_3 = ...$) | Parallel: Total charge is the sum of charges on each capacitor ($Q_{total} = Q_1 + Q_2 + Q_3 + ...$)
Compare capacitors in series vs. parallel regarding total capacitance.
Series: $\frac{1}{C_{total}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3} + ...$ | Parallel: $C_{total} = C_1 + C_2 + C_3 + ...$
Compare the behavior of a capacitor in a circuit at the initial state vs. steady state.
Initial State: Current flows freely, capacitor is uncharged | Steady State: No current flows, capacitor is fully charged and acts as an open circuit.
Compare the voltage behavior of capacitors in series vs parallel.
Series: Voltage is split across each capacitor. | Parallel: Voltage is the same across each capacitor.
Compare the current behavior of capacitors in series vs parallel.
Series: Current is the same through each capacitor. | Parallel: Current divides through each capacitor.