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The resonant frequency for a RLC circuit is calculated from Equation \ref{resonantfrequency2}, which comes from a balance between the reactances of the capacitor and the inductor. Since the circuit is at resonance, the impedance is equal to the resistor. Then, the peak current is calculated by the voltage divided by the resistance. Solution
Lecture 14 - AC Circuits, Resonance. Y&F Chapter 31, Sec. 3 - 8. The Series RLC Circuit. Amplitude and Phase Relations. Phasor Diagrams for Voltage and Current. Impedance and Phasors for Impedance. Resonance. Power in AC Circuits, Power Factor. Examples.
Figure AC.1: This figure shows a graphic representation of how an inductor acts under various conditions in a circuit. In (a), showing a constant current, the inductor acts as a resistor, because the length of wire from which the inductor is made has a resistance.
INTRODUCTION TO AC FILTERS AND RESONANCE OBJECTIVES • To understand the design of capacitive and inductive filters • To understand resonance in circuits driven by AC signals OVERVIEW In a previous lab, you explored the relationship between impedance (the AC equivalent of resistance) and frequency for a resistor, capacitor, and inductor.
1. Work with complex valued voltages and currents. Our driving AC EMF is usually some-thing like E(t) = E0 cos !t; replace this with ~E(t) = E0ei!t (so that E(t) = Re[ ~E0(t)]). 2. The voltage drop across any circuit element obeys a generalized, complex version of Ohm's law: ~VX = ~IXZX.
An AC circuit with R= 2 W, C = 15 mF, and L = 30 mH is driven by a generator with voltage V(t)=2.5 sin(8pt) Volts. Calculate the maximum current in the circuit, and the phase angle. Imax = Vgen,max /Z.
12.2 Simple AC circuits Before examining the driven RLC circuit, let’s first consider the simple cases where only one circuit element (a resistor, an inductor or a capacitor) is connected to a sinusoidal voltage source. 12.2.1 Purely Resistive load Consider a purely resistive circuit with a resistor connected to an AC generator, as shown
