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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.

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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.

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 (τ) for an RC circuit.

τ = 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: 1Ctotal=1C1+1C2+1C3+...\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: Ctotal=C1+C2+C3+...C_{total} = C_1 + C_2 + C_3 + ...

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.