Rearrange V(t)/Vo = e^-t/RC to solve for C

Question

Question

science physics

Answer 1

Answer #1

Here it can be written as

V (t)/ V_o = e ^-t/RC
Since we need to solve for C so first we have to get rid of e

To remove e we take log both sides as log(V(t)/V_o)=log(e^-t/RC)
So, logV(t) - logVo = -t/RC

[When you divide two numbers, you subtract their logs]

Now C=-t/[(logv(t)-logv_o)(R)]

Answer 2

Similar Homework Help Questions

Derive time dependence of voltage and current for a capacitor equation v(t)=V(1-e-t/RC) i(t)=(V/R)(e-t/RC)

Derive time dependence of voltage and current for a capacitor equation v(t)=V(1-e-t/RC) i(t)=(V/R)(e-t/RC)
Starting with V = v0 e – t/RC , show that C = t1/2 / 0.693...

Starting with V = v0 e – t/RC , show that C = t1/2 / 0.693 * R
Use the equation V=Vo(1-e^(-t/Tau) = Vo(1-2^(-t/T) to prove that V=7/8Vo when t=3T

Use the equation V=Vo(1-e^(-t/Tau) = Vo(1-2^(-t/T) to prove that V=7/8Vo when t=3T

Solve using RC Circuits equations: An emf source with a magnitude of E = 120 V...

Solve using RC Circuits equations: An emf source with a magnitude of E = 120 V , a resistor with a resistance of R = 80.0 Ω , and a capacitor with a capacitance of C = 4.00 μF are connected in series. A) As the capacitor charges, when the current in the resistor is 0.900 A , what is the magnitude of the charge on each plate of the capacitor?
Supplemcnial problems ( problcms) Problem 1: Solve for vo (t). Given: R-100 kQ, C-1 μF, v1...

Supplemcnial problems ( problcms) Problem 1: Solve for vo (t). Given: R-100 kQ, C-1 μF, v1 (0+)-2 V, and v2 (0+)-OV t v1 7 Vo
delta shell potential V(t)= -Vo ? (r-a) solve the Schrodinger equation find the energy eigen function?

delta shell potential V(t)= -Vo ? (r-a) solve the Schrodinger equation find the energy eigen function?

an rc circuit consisting of capacitance C and resistance R is driven by external voltage Vo[cos(wt)...

an rc circuit consisting of capacitance C and resistance R is driven by external voltage Vo[cos(wt) + sin(wt)]. The charge q(t) of the capacitors described by the equation: R *dq(t)/dt +q(t)/C = Vo[cos(wt) + sin(wt)] Find there solution using phasor method. Assume all parameters are given.
The switch on an RC circuit is closed at t = 0. Given that E =...

The switch on an RC circuit is closed at t = 0. Given that E = 9.0 V , R = 180 Ω and C = 24 μF , how much charge is on the capacitor at time t = 4.2 ms ?
Solve for vo(t) using the Laplace methods. 6. Solve for vo(t) using Laplace methods. 4e-fu(t) A...

Solve for vo(t) using the Laplace methods. 6. Solve for vo(t) using Laplace methods. 4e-fu(t) A 1F (1 610) A 122 1 H - 312 103 0.00 2u(1) A

A capacitor C is charged up and has a voltage Vo across it. It is then...

A capacitor C is charged up and has a voltage Vo across it. It is then discharged through a resistance R. At time t the capacitor's voltage has dropped to V=0.120Vo. t= _____·RC