The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility ) is [2025]

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Q.
The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility $χ_{mg} = 1.2 \times 10^{- 5}$ ) is [2025]

1 $\frac{6}{5} \times 10^{- 3} %$

2 $\frac{5}{6} \times 10^{- 5} %$

3 $\frac{5}{6} \times 10^{- 4} %$

4 $\frac{5}{3} \times 10^{- 5} %$

Ans.
(1)

% change in $B = \frac{△ B}{B} % = \frac{B_{new} - B_{old}}{B_{old}} \times 100 %$

$= \frac{μ n i - μ_{0} n i}{μ_{0} n i} \times 100 % = \frac{(μ - μ_{0})}{μ_{0}} \times 100 %$

$= \frac{(μ_{0} μ_{r} - μ_{0})}{μ_{0}} \times 100 %$

$= (μ_{r} - 1) \times 100 %$

$= χ_{n} \times 100 % = 1.2 \times 10^{- 3} %$

Solution

Q.
The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility $χ_{mg} = 1.2 \times 10^{- 5}$ ) is [2025]

1 $\frac{6}{5} \times 10^{- 3} %$

2 $\frac{5}{6} \times 10^{- 5} %$

3 $\frac{5}{6} \times 10^{- 4} %$

4 $\frac{5}{3} \times 10^{- 5} %$

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Solution

Q. The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility χmg=1.2×10–5) is [2025]

1 65×10–3%

2 56×10–5%

3 56×10–4%

4 53×10–5%

Ans. (1) % change in B=△BB%=Bnew–BoldBold×100% =μni–μ0niμ0ni×100%=(μ–μ0)μ0×100% =(μ0μr–μ0)μ0×100% =(μr–1)×100% =χn×100%=1.2×10–3%

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Q.
The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility $χ_{mg} = 1.2 \times 10^{- 5}$ ) is [2025]

1 $\frac{6}{5} \times 10^{- 3} %$

2 $\frac{5}{6} \times 10^{- 5} %$

3 $\frac{5}{6} \times 10^{- 4} %$

4 $\frac{5}{3} \times 10^{- 5} %$