Electronics students are learning to use phasor diagrams to analyze RLC series circuits. They are given the following phasor diagram, and they are told that the AC power source has a frequency of 60.0 Hz and the resistor has a resistance of 92.5 Ω. The students are then asked to determine the following. (Part D through Part G only.) A) The maximum voltage ΔVmax (in V) across the series RLC combination B) The phase angle ? (in degrees) C) The maximum current (in A) in the circuit D) The total impedance (in Ω) of the circuit E) The capacitance (in µF) F) The inductance (in H) G) The average power (in W) delivered to the circuit

A 2.6-k resistor and a 4.0-μF capacitor are connected in series to an ac source. Part A Calculate the impedance of the circuit if the source frequency is 55 Hz. Express your answer to two significant figures and include the appropriate units. Z = Submit Part B Z = ША Submit Value Request Answer Calculate the impedance of the circuit if the source frequency is 10000 Hz. Express your answer to two significant figures and include the appropriate units. Value Units Request Answer ? Units ?

What maximum current is delivered by an AC source with AVmax = 58.7 V and f = 72.1 Hz when connected across a 3.70-µF capacitor? Step 1 The applied AC source determines the voltage amplitude and frequency. We will compute the reactance of the capacitor at this frequency and use the definition of reactance to find the current. The impeding effect of capacitance C in an AC circuit with frequency f is called capacitive reactance. Capacitive reactance is defined by the following equation. 1 Xc = 2zfC For the maximum current I Imax Imax = = ΔV, = max Xc Substituting the expression for capacitive reactance and solving for the current gives ΔV. max Xc max = at applied voltage ΔV, AV max . (2πf) C V 2π mA. max' we have JH₂) ( Hz |x 10-6 F)

A 2.6-k resistor and a 4.0-μF capacitor are connected in series to an ac source. Part A Calculate the impedance of the circuit if the source frequency is 55 Hz. Express your answer to two significant figures and include the appropriate units. Z = Submit Part B Z = 0 Submit Value Request Answer Calculate the impedance of the circuit if the source frequency is 10000 Hz. Express your answer to two significant figures and include the appropriate units. Value Units Request Answer 2 Units ?

Part A An inductance coil operates at 240 V and 60.0 Hz. It draws 13.2 A. What is the coil's inductance? Express your answer using three significant figures. L = Submit ΑΣΦ Request Answer P I ? H

A resistor and an unknown device are connected in series with an AC generator as shown in the diagram below. The current lags behind the voltage of the generator by 69º. R www X (a) If the total impedance of the circuit is 223 , what is the value of the resistor in the circuit? Ω (b) What is the reactance of the device? Ω

In a series RLC circuit, the AC source voltage is 70V. The voltage amplitude for the capacitor is 150V and voltage amplitude for the inductor is 90V. What is the voltage amplitude for the resistor?

A resistor with resistance R is connected to an AC source.  If the AC source provides a voltage VR(t) = V0cos(omegat), what is the current IR(t) through the resistor as a function of time?

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A circuit contains a 1.22 mH inductor, a 1.34 mF capacitor and a 592 Ohm resistor in series with an ac voltage source. At what frequency will the impedance be smallest? Please give your answer in Hertz.