Question

As part of a lab exercise, Sam is given an unknown capacitor and inductor and asked...

As part of a lab exercise, Sam is given an unknown capacitor and inductor and asked to determine the reactance of the circuit. He connects the inductor and capacitor in series with a resistor and an AC voltage source. He measures the rms current and rms voltage to be 18.0 A and 175 V, respectively, and determines that the voltage lags behind the current by 38.0°.What value does Sam get for the reactance of the circuit?

Homework Answers

Answer #1

Rms voltage of circuit

Rms voltage of cicuit

Phase angle ( as voltage lags behind current)

and   , impedance   ----(1)

Using

so -----(2)

Impeadance ----(3)

substituting (1) and (2) in (3)  

Reactance

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A series AC circuit contains a resistor, an inductor of 210 mH, a capacitor of 5.50...
A series AC circuit contains a resistor, an inductor of 210 mH, a capacitor of 5.50 µF, and a source with ΔVmax = 240 V operating at 50.0 Hz. The maximum current in the circuit is 200 mA. (a) Calculate the inductive reactance. Ω (b) Calculate the capacitive reactance. Ω (c) Calculate the impedance. kΩ (d) Calculate the resistance in the circuit. kΩ (e) Calculate the phase angle between the current and the source voltage. °
A 0.380 H inductor, a 20 µf capacitor, and a 25Ω resistor are connected in series...
A 0.380 H inductor, a 20 µf capacitor, and a 25Ω resistor are connected in series to an ac generator with an rms voltage of 30.0 V and a frequency of 50.0 Hz. Find the rms current and the peak current in the circuit.
An AC voltage source is connected in series to an inductor, a capacitor, and a resistor...
An AC voltage source is connected in series to an inductor, a capacitor, and a resistor of 5 Ohms. At the frequency when the phase angle is zero, capacitive reactance is 6 Ohms. What is the total impedance of the of the circuit at a frequency which is a factor of 2.4 times less than this frequency? Answer in Ohms.
An inductor (L = 400 mH), a capacitor (C = 4.43 µF), and a resistor (R...
An inductor (L = 400 mH), a capacitor (C = 4.43 µF), and a resistor (R = 500 Ω) are connected in series. A 46.0-Hz AC generator connected in series to these elements produces a maximum current of 335 mA in the circuit. a.) Calculate the required maximum voltage ΔVmax. b.) Determine the phase angle by which the current leads or lags the applied voltage. The current ______ the voltage by a magnitude of ______.
A 10.0Ω resistor,10.0 mH inductor, and 10.0 μF capacitor are connected in series with a 10.0...
A 10.0Ω resistor,10.0 mH inductor, and 10.0 μF capacitor are connected in series with a 10.0 kHz voltage source. The RMS current through the circuit is 0.200 A. a. Sketch an accurate phasor diagram. b. Find the RMS voltage drop across each of the 3 elements. c. What is the phase angle between the current and the applied voltage? d. Find the RMS voltage in the circuit.
A 100 ​Ω​ resistor, 0.0200 H inductor and 30 x 10​-6​ F capacitor are connected in...
A 100 ​Ω​ resistor, 0.0200 H inductor and 30 x 10​-6​ F capacitor are connected in series to a 20 V rms AC source. The frequency of the source can be varied. What is the rms current in the circuit when the frequency is 250 Hz?
a resistor (R=750), a Capacitor (C=3.36uf) and inductor (L=2.34H) are connected in series across a 120Hz...
a resistor (R=750), a Capacitor (C=3.36uf) and inductor (L=2.34H) are connected in series across a 120Hz Ac source for which change in V=105V. a) calculate rms voltage across the capacitor b) calculate phase angle between the current and voltage c) is the current leading or lagging the voltage d) what is the average power delivered by the voltage source
An AC voltage source has an RMS voltage of 10 volts and it is connected in...
An AC voltage source has an RMS voltage of 10 volts and it is connected in series to an inductor, a capacitor, and a resistor. At the resonant frequency the maximum current in the circuit is 7 amps and the inductive reactance is 10 Ohms. What is the maximum current in the circuit, in amps, at a frequency which is a factor of 2.5 more than the resonant frequency? ***PLEASE ONLY ANSWER IF 100% CORRECT***
consider a series RLC circuit with a resistor E = 43.0 ohm, an inductor L =...
consider a series RLC circuit with a resistor E = 43.0 ohm, an inductor L = 15.5 mH, a capacitor C = 0.0545 micro farads and an AC source that provides an RMS voltage of 0.301 V at 16.2 kHz what is the impedance of the circuit in ohms
Consider an RLC circuit in series. In the circuit the AC source has an rms voltage...
Consider an RLC circuit in series. In the circuit the AC source has an rms voltage of 10 V and frequency of 25 kHz. The inductor is 0.50 mH, the capacitor is 0.10 μF, and resistor is 5.0 Ω. a) Determine the impedance b) Determine the voltage across the inductor, capacitor and resistor. c) Determine the phase angle. d) Is the voltage leading or lagging the current?