Question

Given COMPUTER ASSIGNMENT #1 iL(t) VC (t) + Vin (t) = 000 + 100 mh 5 cos (2?120t) + 0.1 ?F R vR(t) R with R = 300 + (date of your birth) where by the date of your birth is meant the day of the month of your birth - a number from 1 to 31 1. Write and solve the differential equation for vR(t). You can use phasors to find the forced part of the response 2. Use any plotting program or an equivalent to obtain a graph of vR(t) that goes for a long enough time for vR(t) to reach steady state. 3. Verify that your graph meets the initial conditions vR(0) and vR(0)

          Given
COMPUTER ASSIGNMENT #1
iL(t)
VC (t)
+
Vin (t) =
000
+
100 mh
5 cos (2?120t)
+
0.1 ?F
R
vR(t)
R
with R = 300 + (date of your birth) where by the date of your birth is meant the day
of the month of your birth - a number from 1 to 31
1. Write and solve the differential equation for vR(t). You can use phasors to find
the forced part of the response
2. Use any plotting program or an equivalent to obtain a graph of vR(t) that
goes for a long enough time for vR(t) to reach steady state.
3. Verify that your graph meets the initial conditions
vR(0) and vR(0)

Show more…

Given
COMPUTER ASSIGNMENT #1
iL(t)
VC (t)
+
Vin (t) =
000
+
100 mh
5 cos (2?120t)
+
0.1 ?F
R
vR(t)
R
with R = 300 + (date of your birth) where by the date of your birth is meant the day
of the month of your birth - a number from 1 to 31
1. Write and solve the differential equation for vR(t). You can use phasors to find
the forced part of the response
2. Use any plotting program or an equivalent to obtain a graph of vR(t) that
goes for a long enough time for vR(t) to reach steady state.
3. Verify that your graph meets the initial conditions
vR(0) and vR(0)

Added by April W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Dominique Jan Tan

Step 1

To write the differential equation for vR(t), we can use Ohm's Law and the equation for inductance: vR(t) = i(t) * R Since i(t) = I * cos(ωt + φ), where I is the amplitude of the current and φ is the phase angle, we can substitute this into the equation: vR(t) Show more…

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Text: DoB 11/25/1998 COMPUTER ASSIGNMENT #1 Given: iL(t) = 0.001 H Vint(t) = 5 cos(2t + 120t) f = 0.1 Hz R = 300 + (date of your birth) 1. Write and solve the differential equation for vR(t). You can use phasors to find the forced part of the response. 2. Use any plotting program or an equivalent to obtain a graph of vR(t) that goes for a long enough time for vR(t) to reach steady state. 3. Verify that your graph meets the initial conditions VR(0) and VR(0).

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