Oscillation frequency of circuit

AI Thread Summary
An L-C circuit with an 83.0 mH inductor and a 1.50 nF capacitor oscillates with a maximum current of 0.800 A. The oscillation frequency is calculated using the formula f = 2π/√(LC), resulting in an initial frequency of approximately 563112.53 Hz. However, the calculation was later found to be incorrect due to a mistake in the relevant equations copied from notes. The discussion highlights the importance of verifying formulas and calculations in circuit analysis. Accurate unit conversion and formula application are crucial for determining the correct oscillation frequency.
ttiger2k7
Messages
57
Reaction score
0
[SOLVED] oscillation frequency of circuit

Homework Statement



An L-C circuit containing an 83.0 \rm mH inductor and a 1.50 \rm nF capacitor oscillates with a maximum current of 0.800 A.

Calculate the oscillation frequency of the circuit.


Homework Equations


\omega = \frac{1}{\sqrt{LC}}

f=2\pi\omega


The Attempt at a Solution



First I solved for omega

\omega = \frac{1}{\sqrt{.083 H * 1.5*10^{-9} F}}
\omega = 89622.14299

Then, since

f=2\pi\omega

I just plugged in omega.

f=2\pi*89622.14299 = 563112.532 Hz

..

I typed in it, but it came back as incorrect. I looked and I can't find my mistake. I'm pretty sure I converted the units right and am using the right formulas. Can someone check to see if i did any thing wrong? Thanks.
 
Physics news on Phys.org
Are you sure about your "relevant equations" ?
:rolleyes:
 
oh wow...thanks. I had copied it down incorrectly in my notes. >_<
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top