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Compare capacitors in series vs. parallel regarding total charge.

Series: Charge is the same on each capacitor (Qtotal=Q1=Q2=Q3=...Q_{total} = Q_1 = Q_2 = Q_3 = ...) | Parallel: Total charge is the sum of charges on each capacitor (Qtotal=Q1+Q2+Q3+...Q_{total} = Q_1 + Q_2 + Q_3 + ...)

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Compare capacitors in series vs. parallel regarding total charge.

Series: Charge is the same on each capacitor (Qtotal=Q1=Q2=Q3=...Q_{total} = Q_1 = Q_2 = Q_3 = ...) | Parallel: Total charge is the sum of charges on each capacitor (Qtotal=Q1+Q2+Q3+...Q_{total} = Q_1 + Q_2 + Q_3 + ...)

Compare capacitors in series vs. parallel regarding total capacitance.

Series: 1Ctotal=1C1+1C2+1C3+...\frac{1}{C_{total}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3} + ... | Parallel: Ctotal=C1+C2+C3+...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.

What is the effect of increasing resistance (R) in an RC circuit?

Increases the time constant (τ), resulting in slower charging and discharging of the capacitor.

What is the effect of increasing capacitance (C) in an RC circuit?

Increases the time constant (τ), resulting in slower charging and discharging of the capacitor.

What happens when a capacitor reaches steady state in a DC circuit?

It blocks DC current and acts like an open circuit.

What is the effect of connecting capacitors in series?

It decreases the overall equivalent capacitance.

What is the effect of connecting capacitors in parallel?

It increases the overall equivalent capacitance.

Define capacitance.

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

What is steady state in a DC circuit with a capacitor?

Steady state is when the capacitor is fully charged and no current flows through it, acting like an open switch.

Define the time constant (τ\tau) in an RC circuit.

The time constant (τ\tau = RC) is the time it takes for a capacitor to charge to about 63% of its maximum voltage or discharge to about 37% of its initial voltage.

Define equivalent capacitance.

The equivalent capacitance is the total capacitance of a circuit with multiple capacitors, simplified into a single value.

What is an RC circuit?

An RC circuit is a circuit containing both a resistor (R) and a capacitor (C).