Identifying 2 Elements in an AC Circuit: R & L

AI Thread Summary
The circuit in question contains resistance (R) and inductance (L) as it shows a current lagging the voltage. Given the voltage of 120 V, frequency of 60 Hz, and a current of 6.4 A, the resistance is calculated to be 18.75 Ω. The inductance is determined using the formula L = tan(30°) * R / (ω), resulting in approximately 0.028 H. A slight variation in the calculation yields a value of 0.02869 H when using more precise digits for pi. The reasoning and calculations presented are correct and confirm the circuit's elements and their values.
zakaqel
Messages
9
Reaction score
0

Homework Statement



A circuit contains only two of the three elements L,C ,R. When connected to a 120 V , 60 HZ ac generator, the current of 6.4 A lags the voltage by 30o. What are the two elements and their values?


Homework Equations





The Attempt at a Solution



given E = 120v,
f = 60Hz,
i = 6.4A,
φ =300
From the problem current lags voltage so this is a circuit containing resistance and inductance
inthis circuit , tanφ = ωL/R
R = E/i = 120/6.4 = 18.75Ω
L = tanφR/ω = tan300*18.75/2*3.14 *60 =0.028 henry


Is this reasoning correct?
 
Physics news on Phys.org
The technique looks good.

I get a calculated value of .02869

I used more digits of pi.
 
Thank you so much for the help!
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Similar threads

Calculation of current in driven series RLC circuit
Replies
8
Views
2K
Resonant frequency of L - R||C circuit
Replies
21
Views
1K
How to Determine Values of L and C in a Series RLC Circuit at Resonance?
Replies
8
Views
2K
Calculating Impedance of a RLC Circuit Connected to a 60 Hz AC Source
Replies
2
Views
2K
What circuit element should be placed in series to raise power factor?
Replies
13
Views
3K
Phasor algebra in AC circuit analysis
Replies
1
Views
2K
AC circuit with two components given phase angle
Replies
1
Views
4K
Width of Resonance in RLC-circuit
Replies
14
Views
3K
Why can we add impedances in series?
Replies
4
Views
1K
AC circuit: is the voltage source absorbing or delivering?
Replies
4
Views
5K

Hot Threads

Recent Insights

Back
Top