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  1. AP Physics C E M
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Compare capacitors in series vs. parallel regarding total charge.

Series: Charge is the same on each capacitor. Parallel: Total charge is the sum of charges on each capacitor.

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Compare capacitors in series vs. parallel regarding total charge.

Series: Charge is the same on each capacitor. Parallel: Total charge is the sum of charges on each capacitor.

Compare capacitors in series vs. parallel regarding total capacitance.

Series: Reciprocal addition is used. Parallel: Capacitances are added directly.

Compare the behavior of a capacitor in a DC circuit initially versus at steady state.

Initially: Current flows freely. Steady State: No current flows; acts as an open circuit.

Compare charging vs. discharging an RC circuit regarding current flow.

Charging: Current decreases exponentially. Discharging: Current (magnitude) decreases exponentially, and flows in the opposite direction.

Compare the voltage distribution in series vs parallel capacitor circuits.

Series: Voltage is split across capacitors. Parallel: Voltage is the same across each capacitor.

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\tauτ) in an RC circuit.

The time constant (τ\tauτ = 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).

How do you find the total capacitance of capacitors in series?

Use the reciprocal addition formula: 1Ctotal=1C1+1C2+1C3+...\frac{1}{C_{total}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3} + ...Ctotal​1​=C1​1​+C2​1​+C3​1​+...

How do you find the total capacitance of capacitors in parallel?

Add the capacitances directly: Ctotal=C1+C2+C3+...C_{total} = C_1 + C_2 + C_3 + ...Ctotal​=C1​+C2​+C3​+...

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.