Question

Show the percentage increase in magnetic field of toroid due to presence of core is 100 time of susceptible

Answer 1

Answer:

Percentage increase of magnetic field due to core present in it is 9800%

Explanation:

As we know that the relation between susceptibility and relative permeability is given as

$\chi = \mu_r + 1$

now we have

$\chi = 100$

so we have

$100 = \mu_r + 1$

$\mu_r = 99$

now magnetic field of torroid is given as

$B = \frac{\mu_0 N i}{2\pi R}$

when core is inserted in it

$B' = \frac{99 \mu_0 N i}{2\pi R}$

So we will have percentage increase given as

$percentage = \frac{99 -1}{1} \times 100$

percentage increase = 9800%

#Learn

Topic : Torroid

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