Answer to Question #324178 in Engineering for Beej

Question

The equation for the instantaneous voltage across a

discharging capacitor is given by v = Voe

-l-

, where Vo is

the initial voltage and r is the time constant of the circuit.

The tasks are to:

a)

b)

C)

Draw a graph of voltage against time for Vo=12V

and r = 2s, between t = Os and t = 10s.

Calculate the gradient at t = 2s and t = 4s.

Differentiate v = 12e 2 and calculate the value of

du

dt

at t= 2s and t= 4s.

d)

e)

Compare your answers for part b and part c.

Calculate the second derivative of the instantaneous

¿2.

di2

3).