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  1. AP Physics C E M
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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.
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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).

Describe the energy oscillation in an LC circuit.

Energy oscillates between the capacitor's electric field and the inductor's magnetic field, leading to sinusoidal variations in charge and current.

Describe how to find the induced EMF in an inductor.

Apply Faraday's Law to the inductor: ε=−LdIdt\varepsilon = -L \frac{dI}{dt}ε=−LdtdI​

What happens when the switch is closed in an LR circuit?

Current flows, and the inductor stores energy in its magnetic field. The current increases exponentially according to I(t)=εR(1−e−t/τ)I(t) = \frac{\varepsilon}{R}(1 - e^{-t/\tau})I(t)=Rε​(1−e−t/τ)

How does an inductor behave initially in a circuit?

Initially, an inductor acts like an open circuit, resisting current flow.

How does an inductor behave after a long time in a circuit?

After a long time, an inductor acts like a wire, allowing current to flow freely.

How to calculate the energy stored in an inductor?

Use the formula: U=12LI2U = \frac{1}{2}LI^2U=21​LI2

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.