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 th

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 ?

Q. 4. In the following circuit, calculate (i) the capacitance of the capacitor, if the power factor of the circuit is unity, (ii) the Q-factor of this circuit. What is the significance of the Q-factor in ac circuit? Given the angular frequency of the ac source to be 100 rad/s. Calculate the average power dissipated in the circuit. 10 Ω R 200 mH L V = 50 V C

The resonant frequency of a certain series RLC circuit is 3.04 kHz, and the value of its capacitance is 7.00 µF. What is the value of the resonant frequency when the capacitance of the circuit is 9.20 uF? kHz

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

The resonant frequency of an RLC series circuit is 2.0 × 103 Hz. If the inductance in the circuit is 5 mH, what is the capacitance in the circuit?

The capacitance in a series RCL circuit is C₁ = 3.6 μF, and the corresponding resonant frequency is fo1 = 7.8 kHz. The generator frequency is 3.9 kHz. What is the value of the capacitance C₂ that should be added to the circuit so that the circuit will have a resonant frequency that matches the generator frequency? C₂ = i

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?