PLEASE HELP!! ALL THREE PARTS!!! Consider the RC circuit in the figure below. Th

Question

PLEASE HELP!! ALL THREE PARTS!!!

Consider the RC circuit in the figure below. The switch was at position a for a long period of time and it is suddenly switched to position b at time t = 0.

PART A

What is Vc at time t = 2.00 ms?

Use the following data : R = 502.5 ?, C = 4.00 ?F, Vb = 3.05 V.

PART B

What is the total energy dissipated by the resistor R after the switch is thrown?

PART C

Using the same data as before, consider the case when the switch is in position b for a long time, and

then it is switched to position a at time t = 0. What is Vc at time t = 2.00 ms?

Consider the RC circuit in the figure below. The switch was at position a for a long period of time and it is suddenly switched to position b at time t = 0. What is Vc at time t = 2.00 ms? Use the following data : R = 502.5 ?, C = 4.00 ?F, Vb = 3.05 V. What is the total energy dissipated by the resistor R after the switch is thrown? Using the same data as before, consider the case when the switch is in position b for a long time, and then it is switched to position a at time t = 0. What is Vc at time t = 2.00 ms?

Explanation / Answer

equautin gfor charge while charging mechanism as

q = Q I(1-e^-t/RC)-------------------------------------1

where RC is called timeconstant and denoted by T

so T = RC

similarly we get current variation as

i = io(e^-t/Rc)--------------------------------------------2

we can get the eqns of charge and current while discharging as

q = Qe^-t/RC -------------------------------------------------3

i = io e^-t/RC----------------------------------------------4

we can get the eqvation for Voltage as

V = Vo(1-e^t/RC) while charging-------------------------------------5

V= voe^-t/RC while discharging-----------------------------------------6

these 6 set of equations are usually needed to solve problems in RC circuit

so lets solve your problem now

a. Vc = V0(1-e^-t/Rc)

Vc = 3.05*(1-e^-2*10^-3/(502.5*4*10^-6)

Vc = 1.922 volts

b. since switch is throen after along time, eenergy disspiated = eenrgy across resistor

so U = 0.5CV^2

U = 0.5 * 4*10^-6 * 3.05*3.05

U = 18.605 uJ

c, while discharging

Vc = 3.05*(e^-2*10^-3/(502.5*4*10^-6)

Vc =1.127 volts

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