Open study

is now brainly

With Brainly you can:

  • Get homework help from millions of students and moderators
  • Learn how to solve problems with step-by-step explanations
  • Share your knowledge and earn points by helping other students
  • Learn anywhere, anytime with the Brainly app!

A community for students.

ODE's/Elec Eng'g: The circuit elements in a strictly parallel RLC circuit are R = 312.5 Ohms, L = 50 mH, and C = 200 nF. The initial inductor current is -45 mA, and the initial capacitor voltage is 15V. Find v(t) for t>=0, where t is in milliseconds. (Illustration attached in the first comment)

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

1 Attachment
This was my solution, but the homework console doesn't seem to accept this as the right answer: http://www.wolframalpha.com/input/?i=v%27%27+%2B+%281%2F%28312.5*200E-9%29%29v%27+%2B+%281%2F%2850E-3+*+200E-9%29%29v+%3D+0%2C+v%280%29+%3D+15%2C+v%27%280%29+%3D+-15
Since the problem didn't give v'(0) directly, I solved for v'(0) first by using the equation i_C(0) = C dv(0)/dt. By Kirchoff's current law, -i_C(0) - i_R(0) - i_L(0) = 0. i_R(0) is just v_C(0)/R which is 15V/312.5 Ohms = 0.048 A. i_L(0) is given in the problem, which is -45 mA. Thus i_C(0) = 0.048 A - .045 A = .003 A. Thus, dv(0)/dt = i_C(0)/C = (.003 A)/(200E-9 F) = 15000 V/s. Since the problem is asking for t in ms, I used v'(0) = 15 V/ms. Still, this didn't work though.

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Not the answer you are looking for?

Search for more explanations.

Ask your own question