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Alex
3 years ago
15

A toroidal solenoid has an inner radius of 12.0 cm and an outer radius of 15.0 cm . It carries a current of 1.50 A . Part A How

many equally spaced turns must it have so that it will produce a magnetic field of 3.75 mT at points within the coils 14.0 cm from its center? Enter your answer numerically. mastering physics
Physics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

Answer:

The number of turns is  N  = 1750 \ turns

Explanation:

From the question we are told that

  The inner radius is r_i =  12.0 \  cm  =  0.12 \  m

   The outer radius is  r_o =  15.0 \  cm  =  0.15 \  m

   The current it carries is I =  1.50 \  A

    The magnetic field is  B  =   3.75 mT = 3.75 *10^{-3} \  T

   The distance from the center is d =  14.0 \ cm  =  0.14 \  m

Generally the number of turns is mathematically represented as

    N  =  \frac{2 *  \pi  * d  *  B}{ \mu_o *  r_o }

Generally  \mu_o is the permeability of free space with value  

    \mu_o  =  4\pi * 10^{-7} \ N/A^2

So

  N  =  \frac{2 *  3.142   * 0.14 *  3.75 *10^{-3} }{ 4\pi * 10^{-7}  * 0.15  }

  N  = 1750 \ turns

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