Question:

If $E=at+bt^2, $ what is the neutral temperature?

Updated On: Jul 5, 2022
  • $-\frac {a}{2b}$
  • $\frac {a}{2b}$
  • $-\frac {a}{b}$
  • $\frac {a}{b}$
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The Correct Option is C

Solution and Explanation

At temperature of inversion E is minimum, ie, E = 0 $\hspace15mm E=at+bt^2$ $\therefore \hspace15mm 0=at_i+bt_i^2$ or $\hspace15mm t_i=- \frac {a}{b} $
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Concepts Used:

Electromagnetic Induction

Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-

  1. When we place the conductor in a changing magnetic field.
  2. When the conductor constantly moves in a stationary field.

Formula:

The electromagnetic induction is mathematically represented as:-

e=N × d∅.dt

Where

  • e = induced voltage
  • N = number of turns in the coil
  • Φ = Magnetic flux (This is the amount of magnetic field present on the surface)
  • t = time

Applications of Electromagnetic Induction

  1. Electromagnetic induction in AC generator
  2. Electrical Transformers
  3. Magnetic Flow Meter