130 40 50 d 170 180 190 Analysis volage vs. time showing all voltages recorded i

Question

130 40 50 d 170 180 190 Analysis volage vs. time showing all voltages recorded in For each of the four data runs, prepare a of discharging runs) the table (three voltages for charging runs, only one voltage for Then fit the decaying voltage or voltage ve charging runs, the common voltage Vior decaying runs) to an exponential curve in Excel. Using the equation of the fit (in particular the constant in the exponent of e. determine the time constant rand the capacitance C (taking the resistance R to be known). Summarize the results in the table below. The capacitance can be compared to the stated value of 1000 HF 0.001 Time constant r Capacitance C Part Fit Equation IIA: Charging high resistance R1 LIB: Discharging resistance high RI LILA: ging low resistance R2 IIIB: Discharging low resistance

Explanation / Answer

discharging of a capacitor in RC series circuit , the voltage across the capacitor is given by

V(t) = V0*e^(-t/RC)

= 1.6781e^(-0.005x)

and R2 = 0.9999 ohm

  
if t = T = Rc the voltage is V(RC) = (1/e)(1.6781v) = 0.617338490 V

C = 0.001 f ==> T = R*C = 0.9999*0.001 s = 999.9 micro s

e^(-t/Rc) = e^(-0.005x)

e^(-t/(0.9999*0.001)) = e^(-0.005)

   t = 4.9995*10^-6 s

time taken is t = 4.9995*10^-6 s

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.