- #1
physicsStudent00
Homework Statement
The output voltage, V_(out) (t) ‡ q(t) /C, effectively measures the charge on the capacitor as a function of time, where q(t) is an exponentially damped simple-harmonic oscillation:
a) Given that L = 0.05 mH, the square-wave frequency is 25kHz, and the ringing decays to 40% of its peak within half a square-wave cycle what is R?
b)If there are 17 cycles of the LCR ringing each half-cycle of the square-wave, what is C?
Homework Equations
file attached is the equations
The Attempt at a Solution
a)
the frequency : f=25*10^3
period = 1/f = 1/25*10^3 -0.00004
Period = 2L/R = 0.00004,
therefore R=2(25*10^-3)/(0.00004)=2.5
b) not sure how to incorporate the information of the 17 cycles into the first given equation. i think you have to use the first equation to find omega, then use omega to solve for omega_0 to then find C. also not sure if C is constant during the dampening of the LCR circuit.