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I ONLY NEED 15 ON ANSWERED. THANKS. Correct, computer gets: FFFT 15. [2pt] In th

ID: 1494455 • Letter: I

Question

I ONLY NEED 15 ON ANSWERED. THANKS.

Correct, computer gets: FFFT


15. [2pt]
In the previous problem, if the battery provides a voltage V = 4.75 V, the capacitor has C = 4.0 C and the resistor has R = 400.0 , what is the capacitor voltage Vc at time t = 1.4 ms?

Answer:  


16. [2pt]
In the previous problem, what is the total energy dissipated in the resistor after time t = 0?

Answer:  


17. [2pt]
For the circuit in the previous problem, consider the case when the switch is in position b for a long time, then switched to position a at time t = 0. What is the capacitor voltage Vc at time t = 1.8 ms?

Answer:

Explanation / Answer

15)Given,

R = 400 Ohm ; C = 4 x 10-6 F ; Vb = 4.75 V ; t = 1.4 ms = 1.4 x 10-3 s

We know that, Vc = Vb e-t/RC

Vc = 4.75 x e- 1.4x 10-3/400 x 4 x 10-6 = 4.75 x 0.417 = 1.98 Volts(aprox)

Hence, Vc = 1.98 V

16)Energy dissipated would be equal to U = 1/2 C V2

U = 0.5 x 4 x 10-6 x 1.98 x 1.98 = 7.8 x 10-6 J

Hence, U = 7.8 x 10-6 J

Vc = 4.75 - 1.98 = 2.77 V

Hence, Vc' = 2.77 Volts.