A long, straight solenoid with a cross-sectional area of 7.00 centimeter square is wound with 80...

Question:

A long, straight solenoid with a cross-sectional area of 7.00 {eq}cm^{2} {/eq} is wound with 80 turns of wire per centimeter, and the windings carry a current of 0.350 A. A second winding of 5 turns encircles the solenoid at its center. The current in the solenoid is turned off such that the magnetic field of the solenoid becomes zero in 0.0400 s.

What is the average induced EMF in the second winding?

Faraday's law of Electromagnetic Induction:

If a coil is turned around a solenoid. The magnetic flux of solenoid gets linked with the coil. Therefore, from Faraday's law, any change in electric current causes change in magnetic flux in solenoid and therefore coil , which causes induced EMF in the coil

Answer and Explanation:

For the solenoid:

Given:

  • No. of turns per m n = 8000 Nos. per m,
  • Cross Sectional Area A = {eq}7 \times 10^{-4} m^2 {/eq}
  • Rate of change of current...

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Faraday's Law of Electromagnetic Induction: Equation and Application

from High School Physics: Help and Review

Chapter 13 / Lesson 10
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