If you know that moving a small element of charge dq from one side of the capacitor to the other side against the potential difference V=q/c needs a small amount of work dW. This could be expressed by the following equation dW= (q/c).dq W is the work measured in Joules q is the charge measured in Coulombs C is the capacitance, measured in Farads (i) Formulate a mathematical equation to compute the work accumulated during moving specific number of charges from one plate to the other. Start with uncharged capacitor (Q=0) and put the final charge as variable Q. Plot the relation between the capacitor charge q, and the capacitor voltage v=q/c. consider (ii) ro Farad

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

ASAP

If you know that moving a small element of charge dq from one side of the capacitor to the other side
against the potential difference V=q/c needs a small amount of work dW. This could be expressed by
the following equation
dW= (q/c).dq
W is the work measured in Joules
q is the charge measured in Coulombs
C is the capacitance, measured in Farads
(i)
Formulate a mathematical equation to compute the work accumulated during moving
specific number of charges from one plate to the other. Start with uncharged capacitor
(Q=0) and put the final charge as variable Q.
Plot the relation between the capacitor charge q, and the capacitor voltage v=q/c. consider
C = 1 micro Farad.
(ii)
Transcribed Image Text:If you know that moving a small element of charge dq from one side of the capacitor to the other side against the potential difference V=q/c needs a small amount of work dW. This could be expressed by the following equation dW= (q/c).dq W is the work measured in Joules q is the charge measured in Coulombs C is the capacitance, measured in Farads (i) Formulate a mathematical equation to compute the work accumulated during moving specific number of charges from one plate to the other. Start with uncharged capacitor (Q=0) and put the final charge as variable Q. Plot the relation between the capacitor charge q, and the capacitor voltage v=q/c. consider C = 1 micro Farad. (ii)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,