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$\bullet$ (a) At what angular frequency will a 5.00$\mu$ F capacitor have the same reactance as a 10.0 $\mathrm{mH}$ inductor? (b) If the capacitor and inductor in part (a) are connected in an $L-C$ circuit, what will be the resonance angular frequency of that circuit?

a) $4.48 \times 10^{3} \mathrm{rad} / \mathrm{s}$b) $4.48 \times 10^{3} \mathrm{rad} / \mathrm{s}$

Physics 102 Electricity and Magnetism

Chapter 22

Alternating Current

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Electromagnetic Induction

Simon Fraser University

Hope College

University of Winnipeg

Lectures

04:44

Alternating current (AC) is an electric current which periodically reverses direction, in contrast to direct current (DC) which flows only in one direction. Alternating current is the form in which electric power is delivered to businesses and residences, and it is the form of electrical energy that consumers typically use when they plug electrical appliances into a wall socket. A common source of DC power is a battery cell in a flashlight. The abbreviations AC and DC are often used to mean simply alternating and direct, as when they modify current or voltage.

11:31

In electrical engineering, a direct current (DC) circuit is an electrical circuit operating with a constant voltage (or current), as opposed to alternating current (AC) circuits. Direct current may flow in a conductor such as a wire, but can also flow through semiconductors, insulators, or even through a vacuum as in electron or ion beams.

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for part of this problem. We're going to equate the two react Ince's and see what that implies about the frequency and so plugging in the definitions of these react Ince's We get omega L for SL. This is equal to one over our legacy. And so omega. If you sell for Omega, give one over square root of l time see like this. And now we complying with the induct Ince's and we complying with the questions is when we do that, we get Omega's equal to 4.47 times 10 acute. This is radiance per second, and so that's the answer to party. Barbie asked for the resident frequency of the circuit, but the resident frequency is they knew our frequency for which the reactant ce excel equals the reactant sexy, which is what we calculate here. So the resident frequency is just equal to this by the definition of what the resident frequency is so that completes from

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