Explanation:
Given that:
Diameter of the solenoid,
length of the solenoid,
diameter of the wire,
magnetic field at the center of the solenoid,
Now we need the no. of turns incorporated in the length of 90 cm:
For solenoids we have:
...............................(1)
where:
permeability of the medium
n = no. of turns per unit length
I = current in the coil
So,
Now putting the respective values in the eq. (1)
We know that resistance is given by:
.....................................(2)
where:
l = length of the conducting wire
a = cross sectional area of the conducting wire
Now we need the length (l) of the wire:
Circumference of the solenoid,
&
Cross-sectional area of wire:
Resistance from eq. (2):
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Explanation: