Question

Using Circuit 5.1, answer the following questions. Calculate the voltage across the capacitor, assuming that the circuit has been left for a significant amount of time after the power supplies are connected to the other components (this is the initial voltage, vc(0- )). 2. At t = 0, the 10V source is turned off (V=0). Determine how the voltage across the capacitor changes as a function of time. That is, determine an equation for vc (t). a. Find vc(0+) b. Find vc([infinity]) c. Find  d. Write an equation for vc (t) e. Calculate the voltage for the following times: t = , t = 2, t = 3, t = 4, t = 5, t = 6, t = 10,

Answer 1

Complete Question: The complete Question is attached as a file below and the circuit of consideration is contained therein.

Answer:

1) vc(0-) = 6.7 v

2a) vc(0+) = 6.7 v

2b) vc(∞) = 0.825 v

2c) τ = 0.0238775 sec

2d) vc (t) = 0.825 + 5.875 exp(-41.88t) v

e)

vc (τ) = 2.9863 v

vc (2τ) = 1.62 v

vc (3τ) = 1.1175 v

vc (4τ) = 0.9326 v

vc (5τ) = 0.8646 v

vc (6τ) = 0.8396 v

vc (10τ) = 0.8253 v

Explanation:

The circuit analysis and the calculations involved in this question are handwritten and contained in the files attached below.