Resonance Frequency and Power Dissipation Calculation

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18 Questions

What is the frequency at which resonance occurs in the circuit?

221.1 Hz

What is the impedance at resonant condition in the circuit?

3 Ω

What principle does the metal detector at the airport work on?

Resonance in AC circuits

What is the power dissipated at resonance?

13.35 kW

What is the value of the root mean square (rms) current at resonance?

66.7 A

What is the formula to calculate the power dissipated in the circuit?

(Current)^2 * Resistance

What is the quantity ωL, analogous to resistance, called in the text?

Inductive reactance

What is the dimension of inductive reactance?

ohm (Ω)

In a purely inductive circuit, what limits the current?

Inductive reactance

In a series LCR circuit, what does the inductive reactance depend on?

Both inductance and frequency

When comparing the source voltage and current in an inductor, how does the current relate to the voltage?

Current lags the voltage by π/2

Does an inductor consume power like a resistance?

No, an inductor does not consume power

What law is represented by Equation (7.3) in the text?

Ohm's law

In a pure resistor, what can be said about the voltage and current?

Both reach zero, minimum, and maximum values at the same time

What does Equation (7.2) in the text represent?

Relationship between current amplitude, voltage amplitude, and resistance in a circuit

Which electrical quantity is affected by i^2R according to the text?

Power

What does the fact that both voltage and current reach zero, minimum, and maximum values at the same time indicate?

The circuit has a pure resistor

Which law is applied to find the value of current through the resistor in the text?

Kirchhoff's loop rule

This quiz covers calculations related to resonance frequency and power dissipation in a circuit. Topics include finding resonance frequency, impedance at resonance, rms current at resonance, and power dissipation. Test your understanding of these concepts with this quiz.

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