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A toroid has a core (non-ferromagnetic) ...

A toroid has a core (non-ferromagnetic) of inner radius 25 cm and outer radius 26 cm, around which 3500 turns of a wire are wound. If the current in the wire is 11 A, what is the magnetic field in the empty space surrounded by the toroid.

Text Solution

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We are given:
Inner radius ` r _(1), = 25 cm`
Outer radius ,` r _(2) = 26 cm`
Number of turns, `N = 35 00 , I = 1 1 A`
Average radius `r = ( r _(1) + r _(2))/(2) = ( 25 + 26)/(2) = 25.5 cm = ( 25.5)/(100) m`
Number of turns per unit length `=(N)/( 2pi r ) implies n = ( 3500)/( 2 xx 3. 14 xx 25.5 xx 10^(-2)) = 2185.6` per metre
Magnetic field in the empty space surrounded by troid is also zero.
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