The space within a current carrying solenoid is filled with magneisum having magnetic suscepitbiliy. `x=M_(g) =1.2xx10^(-5)`. What will be the percentage increase in magnetic field?
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To solve the problem of finding the percentage increase in the magnetic field when the space within a current-carrying solenoid is filled with magnesium, we can follow these steps:
### Step 1: Understand the Initial Magnetic Field
The initial magnetic field \( B_0 \) in a solenoid without any material inside is given by:
\[
B_0 = \mu_0 n I
\]
where \( \mu_0 \) is the permeability of free space, \( n \) is the number of turns per unit length of the solenoid, and \( I \) is the current flowing through the solenoid.
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