How Do You Calculate Inductor Reactance at 60 Hz?

  • Thread starter magnifik
  • Start date
  • Tags
    Reactance
In summary, basic reactance problem is a concept in circuit analysis that involves calculating the total reactance in a circuit. Reactance is the opposition of a circuit to the flow of alternating current (AC). It is different from resistance, which is the opposition to the flow of direct current (DC). The formula for calculating reactance depends on the type of circuit component and is directly proportional to the frequency of the AC current. Reactance is used in circuit analysis to determine total impedance and is also important in designing and troubleshooting circuits.
  • #1
magnifik
360
0

Homework Statement


What is the reactance of a 0.1-H inductor if the frequency is 60 Hz?


Homework Equations


z=jwL
where z is impedance, j is imaginary unit, L is inductance
x=wL=2pifL
Z=R+jX


The Attempt at a Solution


I know this is pretty basic, but I'm not sure which equation to use. I used the first one and got j6 Ohms, but I'm not sure if impedance and reactance are interchangeable. The other answer choices are the following: infinity Ohms, 37.7 Ohms, or -6j Ohms. Thanks for the help.
 
Physics news on Phys.org
  • #2
The answer is 37.7 Ohms. You can use the equation x=2πfL to calculate the reactance (or impedance) of an inductor. In this equation, x represents the reactance, f is the frequency, and L is the inductance. Plugging in the values from the question, you get x=2π(60 Hz)(0.1 H)=37.7 Ohms.
 

Related to How Do You Calculate Inductor Reactance at 60 Hz?

1. What is basic reactance problem?

Basic reactance problem is a concept in circuit analysis that involves calculating the total reactance in a circuit. Reactance is the opposition of a circuit to the flow of alternating current (AC). In basic reactance problem, the circuit is simplified to contain only a single inductor or capacitor, and the total reactance is calculated using the values of the component and the frequency of the AC current.

2. How is reactance different from resistance?

Resistance is the opposition to the flow of direct current (DC) in a circuit, while reactance is the opposition to the flow of AC in a circuit. Resistance is caused by the physical properties of a material, such as the thickness and length of a wire, while reactance is caused by the effects of inductors and capacitors in a circuit.

3. What is the formula for calculating reactance?

The formula for calculating reactance depends on the type of circuit component. For an inductor, the formula is XL = 2πfL, where XL is the inductive reactance, f is the frequency, and L is the inductance. For a capacitor, the formula is XC = 1/(2πfC), where XC is the capacitive reactance, f is the frequency, and C is the capacitance.

4. How does frequency affect reactance?

The reactance in a circuit is directly proportional to the frequency of the AC current. This means that as the frequency increases, so does the reactance. This is because the effects of inductors and capacitors become more pronounced as the frequency increases. Therefore, it is important to consider the frequency when calculating reactance in a circuit.

5. How is reactance used in circuit analysis?

Reactance is an important concept in circuit analysis as it helps determine the total impedance in a circuit, which is the total opposition to the flow of AC current. This information is crucial in designing and troubleshooting circuits, as well as in understanding the behavior of different circuit components. Reactance is also used in calculating the voltage and current in a circuit using Ohm's Law.

Similar threads

Change in Capacitor for largest possible Current
    • Introductory Physics Homework Help
Replies
2
Views
1K
Find resistance of inductor in series RLC circuit
    • Introductory Physics Homework Help
Replies
5
Views
1K
What Is the Correct Source Voltage Amplitude for Desired Power in an AC Circuit?
    • Introductory Physics Homework Help
Replies
19
Views
5K
What Inductance Value Is Needed for a Light Bulb in a 240V AC Circuit?
    • Introductory Physics Homework Help
Replies
11
Views
4K
I How do I calculate the expected Gain?
    • Classical Physics
Replies
1
Views
758
How Do You Calculate Current and Phase Angle in AC Circuits with Missing Data?
    • Introductory Physics Homework Help
Replies
4
Views
1K
Reactance and Inductance of an inductor
    • Introductory Physics Homework Help
Replies
2
Views
8K
How Do You Calculate Impedance in an RLC Circuit at 3000 Hz?
    • Introductory Physics Homework Help
Replies
9
Views
3K
Calculating Impedance Using Capacitive Reactance
    • Introductory Physics Homework Help
Replies
11
Views
4K
How Do You Calculate L and C in an RLC Circuit with Given Reactances?
    • Introductory Physics Homework Help
Replies
5
Views
12K

Hot Threads

Recent Insights

Back
Top