L10-Inductance.pdf

# A change in the current of one circuit can induce an

• Homework Help
• 22

This preview shows pages 11–19. Sign up to view the full content.

A change in the current of one circuit can induce an emf in a nearby circuit 1 12 2 12 I N M dt dI M N I M dt d N dt d N 1 12 2 1 12 2 12 2 2 E dt dI M 2 21 1 E It can be shown that: M M M 21 12 dt dI M 2 1 E dt dI M 1 2 E

This preview has intentionally blurred sections. Sign up to view the full version.

I l N B B 0 l A N N I BA N I N M B H H BH H 0
Provide a transfer of energy between the capacitor and the inductor. Analogous to a spring- block system

This preview has intentionally blurred sections. Sign up to view the full version.

Assume the capacitor is fully charged and thus has some stored energy. When the switch is closed, the charges on the capacitor leave the plates and move in the circuit, setting up a current. This current starts to discharge the capacitor and reduce its stored energy.
When the capacitor is fully discharged, it stores no energy, but the current reaches a maximum and all the energy is stored in the inductor. At the same time, the current increases the stored energy in the magnetic field of the inductor.

This preview has intentionally blurred sections. Sign up to view the full version.

When the capacitor becomes fully charged (with the opposite polarity), the energy is completely stored in the capacitor again. The e-field sets up the current flow in the opposite direction. The current continues to flow and now starts to charge the capacitor again, this time with the opposite polarity.
Then the cycle completes itself in reverse.

This preview has intentionally blurred sections. Sign up to view the full version.

At some arbitrary time, t: 2 2 2 1 2 LI C Q U U U L C 0 dt dU 0 2 2 dt Q d L C Q LC 1 Natural frequency of oscillation t Q Q cos max t I t Q I sin sin max max
This is the end of the preview. Sign up to access the rest of the document.
• Fall '16
• Imran Malik

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern