How Does Mutual Induction Depend on Current Changes Over Time?

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In summary, the conversation discusses the use of a more complicated current and the need to take the derivative in order to find the correct answer. The given formula is used to find the emf and current at two different times, which is then used to calculate the value of M. The use of a linear equation is not appropriate in this scenario.
  • #1
nabliat
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http://i28.tinypic.com/ot42gi.jpg

in normal induction finding question
we need to have how a current changes over some period
of time

and emf.

but here i don't have that
i only have emf =-3.2
in t=0.8 i can find a certain current
and in t=0 i can find a certain current.(using the given formula )
i can put them in the formula and get M
[tex]
\epsilon=-M\frac{I(0.8)-I(0)}{0.8-0}
[/tex]
is it ok??

because they presented a much more complicated current.
 
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  • #2
Sorry, but yours doesn't work. The answer shown in the jpg is the correct way. You have assumed with your equation that the change in current with time is linear instead of using the more complicated form that was given. You need to take the derivative as indicated.
 

FAQ: How Does Mutual Induction Depend on Current Changes Over Time?

What is mutual induction?

Mutual induction is a phenomenon in which an alternating current in one circuit induces a voltage in a neighboring circuit. This occurs due to the changing magnetic field produced by the alternating current, which passes through the neighboring circuit and induces an electric current.

How does mutual induction work?

Mutual induction works by having two separate circuits, where one circuit has an alternating current passing through it, and the other circuit has no direct connection to the first circuit. The changing magnetic field produced by the alternating current in the first circuit induces an electric current in the second circuit.

What are the applications of mutual induction?

Mutual induction has many applications, including power transformers, electric motors, generators, and wireless charging. It is also used in radio and television broadcasting, where the changing magnetic field of the transmitting antenna induces an electric current in the receiving antenna.

What factors affect mutual induction?

The strength of mutual induction is affected by the number of turns in the coils, the distance between the two circuits, and the frequency of the alternating current. The greater the number of turns, the closer the two circuits are, and the higher the frequency, the stronger the mutual induction will be.

How is mutual induction different from self-induction?

Mutual induction involves two separate circuits, while self-induction involves only one circuit. In mutual induction, the changing magnetic field of one circuit induces a voltage in a neighboring circuit, while in self-induction, the changing magnetic field of the same circuit induces a voltage in the same circuit.

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