The current entering the positive terminal of a device is i(t) = 6e

Josh Sizemore 2021-12-22 Answered
The current entering the positive terminal of a device is i(t)=6e2t mA and the voltage across the device is v(t) = 10di/dt V. (a) Find the charge delivered to the device between t = 0 and t = 2 s. (b) Calculate the power absorbed. (c) Determine the energy absorbed in 3 s.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Paul Mitchell
Answered 2021-12-23 Author has 40 answers
a) 02i(t)dt=026e2tdt=602e2tdt=6(12e2t)02=
=6(12(e22e20))=3(e41)=2,945 mC
b) v(t)=10didt=10ddt(6e2t)=10(12e2t)=120e2t mV
p(t)=v(t)i(t)=120e2t6e2t=720e4t μW
c) W=03p(t)dt=72003e4tdt=720(14e4t)03=
=180e4t03=180(e12e0)=180(e121)=180 μJ
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-02-10
A 230kg crate hangs from the end of a rope of length L=12.0m. You push horizontally on the crate with a varying force F to move it distance d= 4.00m to the side.
a) What is the magnitude of F when the crate is in this final position? What are b) the total work done on it, c) the work done by the gravitational force on the crate, and d) the work done by the pull on the crate fromthe rope? e) Knowing the the crate is motionless before and after its displacement, use the answers to (b), (c), and (d) to find the work your force F does on the crate. f) Why is the work of your force not equal to the product of the horizontal displacement and the answer to (a)?
asked 2021-02-19

Two snowcats tow a housing unit to a new location at McMurdo Base, Antarctica, as shown in the figure. The sum of the forces FA and FB exerted on the unit by the horizontal cables is parallel to the line L, and FA=4200 N. Determine FB? Determine the magnitude of FA+FB?
asked 2021-02-21
A 5.00 kg package slides 1.50 m down a long ramp that is inclined at 12.0 below the horizontal. The coefficient of kinetic friction between the package and the ramp is k =0.310. Calculate
(a) the work done on the package by friction (b) the workdone on the package by gravity (c) the work done on the package bythe normal force (d) the total work done on the package (e) Ifthe package has a speed of 2.20 m/s at the top of the ramp, what isits speed after sliding 1.50 m down the ramp?
asked 2021-01-02
A space traveler weights 540 N on earth. what will the traveler weigh on another planet whose radius is three times that of earth and whose mass is twice that of earth ?
asked 2022-01-15
A+10 nC charge is located at the origin. What is the strength of the electric field at the position (x,y)=(−5.0 cm,−5.0 cm)
asked 2021-12-09

In the following, simplify using absolute value signs as needed.
80x7y63

asked 2021-11-20

Match the parametric equations with the graphs labeledI-VI. Give reasons for your choices. (Do not use a graphingdevice).
a) x=t4t+1, y=t2
b) x=t22t, y=t
c) x=sin2t, y=sin(t+sin2t)
d) x=cos5t, y=sin2t
e) x=t+sin4t, y=t2+cos3t
f) x=sin2t4+t2, y=cos2t4+t2
image
image
image
image
image
image

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question