Question

The phase angle of an LRC series circuit with a capacitive reactance of 200 Ω, a...

The phase angle of an LRC series circuit with a capacitive reactance of 200 Ω, a resistor of 100 Ω and a certain inductor at 1000 Hz is 40.0°. What is the value of the inductance in this circuit?

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Phase angle, = tan-1[(XL - XC) / R]
Where XL and XC are the inductive and capacitive reactances, R is the reisistance.
tan = (XL - XC) / R
XL - XC = R * tan
XL = XC + R * tan
Substituting values,
XL = 200 + 100 * tan(40)
= 283.91 Ohm

XL = * L
Where = 2 * f, f being the frequency and L is the inductance.
L = XL /
= 283.92 / [(2 * 1000)
= 4.52 * 10-2 H

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. For a particular RLC series circuit, the capacitive reactance is 4.65 Ω, the inductive reactance...
1. For a particular RLC series circuit, the capacitive reactance is 4.65 Ω, the inductive reactance is 23.5 Ω, and the maximum voltage across the 84.9 Ω resistor is 34.9 V. What is the maximum voltage across the circuit? please answer both exercise not only one this is 2 essential questions 2. Consider a series RLC circuit where the resistance ?=447 Ω , the capacitance ?=3.25 μF , and the inductance ?=85.0 mH . What is the maximum current ?max  when...
a) At what frequency will the Inductive Reactance of 44. mH be equal to the capacitive...
a) At what frequency will the Inductive Reactance of 44. mH be equal to the capacitive reactance of a 27.0 pF capacitor? b) A 120.0 mH inductor is in series with a 20.0 Ω resistor in a 120.0V, 60.0 Hz circuit. What is the impedance of the circuit?
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 series RLC circuit has resistance R = 18.0 Ω, inductive reactance XL = 34.0 Ω,...
A series RLC circuit has resistance R = 18.0 Ω, inductive reactance XL = 34.0 Ω, and capacitive reactance XC = 22.0 Ω. If the maximum voltage across the resistor is ΔVR = 115 V, find the maximum voltage across the inductor and the capacitor. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) HINT (a) the maximum voltage across the inductor (in V) V (b) the maximum voltage...
An RLC series circuit has a 200 Ω resistor and a 25.0 mH inductor. At 7800...
An RLC series circuit has a 200 Ω resistor and a 25.0 mH inductor. At 7800 Hz, the phase angle is 45.0°. (a) What is the impedance (in ohms)? _____Ω (b) Find the minimum possible capacitance (in nanofarads) of the circuit. ______nF (c) If Vrms = 408 V is applied, what is the average power (in watts) supplied? _____W
please solve and explain! Why is the phase angle between the voltages of the inductor and...
please solve and explain! Why is the phase angle between the voltages of the inductor and capacitor in a LRC series circuit 180o? An LRC circuit is at critical damping with R = 100 Ω. Starting from its maximum value, the charge on the capacitor drops to 50% of its value in a time t = 5 ms. What are the values of the inductance L and the capacitance C?
An LRC series circuit has with R = 105 Ω, L = 76 mH, and C...
An LRC series circuit has with R = 105 Ω, L = 76 mH, and C = 22 μF, is attached to a 120-V (rms) AC power supply with frequency 60 Hz. (a) What is the impedance of the circuit? (b) What is the peak current in the circuit? (c) What is the peak voltage across the resistor? (d) What is the peak voltage across the inductor? (e) What is the peak voltage across the capacitor? (f) What is the...
An LRC series circuit with R = 120 Ω , L = 40 mH , and...
An LRC series circuit with R = 120 Ω , L = 40 mH , and C = 1.5 μF is powered by an ac voltage source of peak voltage V0 = 230 V and frequency f = 440 Hz. Determine the peak voltage across L. Determine the phase angle of the voltage across L relative to the source voltage Determine the peak voltage across C. Determine the phase angle of the voltage across C relative to the source voltage.
In an LRC series circuit, the components have the following Values: L=0.4 H, C=600 μF, R=200...
In an LRC series circuit, the components have the following Values: L=0.4 H, C=600 μF, R=200 Ω, V=30 V and frequency 1.5 kHz. Calculate the impedance of the circuit Calculate the maximum voltage across the resistor, the inductor and the capacitor
In a series circuit, suppose R=230Ω, L=370mH, C=0.75μF, V=85V, and ω=4500rad/s. Find the reactance XL. Find...
In a series circuit, suppose R=230Ω, L=370mH, C=0.75μF, V=85V, and ω=4500rad/s. Find the reactance XL. Find the reactance XC. Find the impedance Z. Find the current amplitude I. Find the phase angle ϕ. Find the voltage amplitude across the resistor. Find the voltage amplitude across the inductor. Find the voltage amplitude across the capacitor.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT