L, E and i: 50.0mH Inductor and 24.0V AC Voltage Source

Click For Summary
SUMMARY

The discussion centers on calculating the frequency of an AC voltage source connected to a 50.0 mH inductor with a voltage of 24.0V and a current of 0.60A. The key formula used is impedance (z), defined as z = V/I, which relates voltage (V), current (I), and the inductive reactance (Lω). The correct frequency can be derived using the relationship f = ω/(2π), leading to the conclusion that the frequency is 60Hz based on the provided parameters.

PREREQUISITES
  • Understanding of AC circuit theory
  • Familiarity with inductance and inductive reactance
  • Knowledge of impedance calculations
  • Basic proficiency in trigonometric functions and their applications in electrical engineering
NEXT STEPS
  • Study the concept of inductive reactance in AC circuits
  • Learn how to calculate impedance in RLC circuits
  • Explore the relationship between voltage, current, and frequency in AC systems
  • Investigate the effects of frequency on inductive components
USEFUL FOR

Electrical engineers, students studying AC circuit theory, and anyone involved in designing or analyzing inductive circuits will benefit from this discussion.

-Aladdin-
Messages
45
Reaction score
0
A 50.0mh inductor is connected to an ac voltage source of 24.0V.The current flowing in this circuit is 0.60A.The frequency of the voltage source is :
a)50Hz
b)60Hz
c)1.27*10^3 Hz

My Work so far ! :
f = w/2pi.

But here we have L , E and i.

Any help will be welcomed.
 
Physics news on Phys.org
-Aladdin- said:
My Work so far ! :
f = w/2pi.

But here we have L , E and i.

Any help will be welcomed.
You can do better than this. How will you bring in L, E and i? Think impedance.
 
kuruman said:
You can do better than this. How will you bring in L, E and i? Think impedance.

So,impedance is : z=Lw = L*2pi*f ...

A guess , z = V/I = E/i ! but V(max)/I(max)
 
-Aladdin- said:
So,impedance is : z=Lw = L*2pi*f ...

A guess , z = V/I = E/i ! but V(max)/I(max)

If z = V/I, can you relate ω to V and I?
 
kuruman said:
If z = V/I, can you relate ω to V and I?

So is it , V/I=Lw then V/LI=w=2pi*f .
 
Correct.
 
kuruman said:
Correct.

Thank you, kuruman.
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
1K
  • · Replies 21 ·
Replies
21
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
5
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 9 ·
Replies
9
Views
10K
  • · Replies 1 ·
Replies
1
Views
919