Resonance in Electrical Circuit

AI Thread Summary
To find the frequency at which a 33 µF capacitor has the same reactance as a 33 mH inductor, the correct formula is f = 1 / (2π√(LC)). The resonance frequency of the LC circuit can be calculated using this equation. The original poster expresses confusion over their calculations, suggesting they may have made an error in their numbers. The response encourages rechecking the calculations to ensure accuracy. Proper application of the formula will yield the correct resonance frequency.
just.karl
Messages
64
Reaction score
0
(a)Find the frequency at which a 33 uF capacitor has the same reactance as a 33 mH inductor. (b) What is the resonance frequency of an LC circuit made with this inductor and capacitor. Well I believe the equation I use is 1 / (2 Pie \sqrt{}LC) but when I use it I come out with a answer very different from the real answer. Am I going about the right way with this problem? Thanks!
 
Physics news on Phys.org
You are using

f=\frac{1}{2\pi \sqrt{LC}}

and this is the correct equation. Perhaps recheck your numbers?
 

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 »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Resonant frequency of L - R||C circuit
Replies
21
Views
1K
Determining Inductance L in an LC Circuit
Replies
5
Views
2K
Self-inductance of LC circuit given rate of capacitor discharge.
Replies
6
Views
909
Driven resonance v. natural resonance
Replies
6
Views
2K
LC oscillations - two capacitors and an inductor
Replies
15
Views
594
Formula for Resonant Frequency of 2 Metal Coaxial Cylinders?
Replies
10
Views
2K
Sign conventions for Kirchhoff's loop rule
Replies
7
Views
1K
B LC resonance with high Q factor, Inductor with non magnetic core
Replies
4
Views
1K
How to Determine Values of L and C in a Series RLC Circuit at Resonance?
Replies
8
Views
2K
Combined tensions of an RLC series circuit with AC current
Replies
3
Views
887

Hot Threads

Recent Insights

Back
Top