Vin dt RC dVc 1 RC Vc(t).

icon
Related questions
Question

we have a voltage source (battery) connected to a resistor and capacitor in series. Differential equation for voltage of capacitor Vc(t) is attached.

C = 0.001, Vin = 9

a)  Assume R = 100 ohms, check with direct substitution that Vc(t) = 9*(1 - e^(-10t)), satisfies the ode and initial condition.

b) Assuming resistance increases with time; R = R(t) = 100+2t, solve ordinary differential equation for Vc(t), using one of two methods: seperation of variables, or integrating factor method.

Vin
dt RC
dVc
1
RC
Vc(t).
Transcribed Image Text:Vin dt RC dVc 1 RC Vc(t).
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

in part a, what does the I.F equal before e^10t? having trouble reading it

Solution
Bartleby Expert
SEE SOLUTION