Rc Circuit Capacitor Voltage Equation. Voltage across capacitor is given by 11 now current through the capacitor is given by 12 rc discharging circuit differential equation. T 0 v 0 thus a v i time constant rc.
The time constant τ for an rc circuit is defined to be rc. By viewing the circuit as a voltage divider the voltage across the capacitor is. In the rc circuit we get the time constant tau 𝜏 from the multiplication between resistance r and capacitance c.
V c s 1 c s r 1 c s v i n s 1 1 r c s v i n s displaystyle v c s frac frac 1 cs r frac 1 cs v mathrm in s frac 1 1 rcs v mathrm in s and the voltage across the resistor is.
The lab practice was about an rc circuit that has an emf source a resistor in series with another resistor and a capacitor in parallel with the second resistor. If someone figures it out i would really appreciate it. The voltage across the capacitor is given by 13 now current through the capacitor is given by 14. Capacitance is defined as c q v so the voltage across the capacitor is v c frac q c.