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  1. AP Physics C E M
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What are the differences between an inductor and a capacitor?

Inductor: Stores energy in a magnetic field, resists changes in current. Capacitor: Stores energy in an electric field, resists changes in voltage.

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What are the differences between an inductor and a capacitor?

Inductor: Stores energy in a magnetic field, resists changes in current. Capacitor: Stores energy in an electric field, resists changes in voltage.

What are the differences between LR and LC circuits?

LR Circuit: Contains inductor and resistor, current changes exponentially. LC Circuit: Contains inductor and capacitor, energy oscillates between them sinusoidally.

What are the differences between the energy stored in an inductor and a capacitor?

Inductor: U=12LI2U = \frac{1}{2}LI^2U=21​LI2 (magnetic field). Capacitor: U=12CV2U = \frac{1}{2}CV^2U=21​CV2 (electric field).

Compare the initial behavior of an inductor and a capacitor in a DC circuit.

Inductor: Acts like an open circuit initially. Capacitor: Acts like a short circuit initially.

Compare the final behavior of an inductor and a capacitor in a DC circuit.

Inductor: Acts like a wire (short circuit) after a long time. Capacitor: Acts like an open circuit after a long time.

What is inductance (L)?

The proportionality constant between magnetic flux and current, measured in Henries (H). ΦB=LI\Phi_B = LIΦB​=LI

What is an inductor?

A coil of wire that resists changes in current and stores energy in a magnetic field.

Define magnetic flux (ΦB\Phi_BΦB​).

A measure of the amount of magnetic field lines passing through a given area.

What is the time constant (τ\tauτ) in an LR circuit?

The time it takes for the current in an LR circuit to reach approximately 63.2% of its maximum value. τ=L/R\tau = L/Rτ=L/R

Define angular frequency (ω\omegaω) in an LC circuit.

The rate at which energy oscillates between the capacitor and inductor in an LC circuit. ω=1LC\omega = \frac{1}{\sqrt{LC}}ω=LC​1​

What is induced EMF?

The electromotive force generated in a circuit due to a changing magnetic field. ε=−LdIdt\varepsilon = -L \frac{dI}{dt}ε=−LdtdI​

What are the steps to find the energy stored in an inductor?

  1. Determine the inductance (L) of the inductor. 2. Find the current (I) flowing through the inductor. 3. Use the formula: U=12LI2U = \frac{1}{2}LI^2U=21​LI2.

What are the steps to analyze current in an LR circuit?

  1. Identify the inductance (L) and resistance (R). 2. Calculate the time constant: τ=LR\tau = \frac{L}{R}τ=RL​. 3. Use the formula: I(t)=εR(1−e−t/τ)I(t) = \frac{\varepsilon}{R}(1 - e^{-t/\tau})I(t)=Rε​(1−e−t/τ).

What are the steps to analyze voltage across the inductor in an LR circuit?

  1. Identify the EMF (ε\varepsilonε) and time constant (τ\tauτ). 2. Use the formula: VL(t)=εe−t/τV_L(t) = \varepsilon e^{-t/\tau}VL​(t)=εe−t/τ.

What are the steps to analyze charge in an LC circuit?

  1. Identify the maximum charge (QmaxQ_{max}Qmax​) and angular frequency (ω\omegaω). 2. Use the formula: Q(t)=Qmaxcos⁡(ωt)Q(t) = Q_{max} \cos(\omega t)Q(t)=Qmax​cos(ωt).

What are the steps to analyze current in an LC circuit?

  1. Identify the maximum charge (QmaxQ_{max}Qmax​) and angular frequency (ω\omegaω). 2. Use the formula: I(t)=−ωQmaxsin⁡(ωt)I(t) = -\omega Q_{max} \sin(\omega t)I(t)=−ωQmax​sin(ωt).