(A) The magnetic flux density $B$ inside a solenoid is given by the formula $B = \mu n I$,where $\mu = \mu_0 \mu_r$.Given:Number of turns per unit len

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(A) The magnetic flux density $B$ inside a solenoid is given by the formula $B = \mu n I$,where $\mu = \mu_0 \mu_r$.Given:Number of turns per unit length $n = 1000 \, m^{-1} = 10^3 \, m^{-1}$.Relative permeability $\mu_r = 500$.Current $I = 5 \, A$.Permeability of free space $\mu_0 = 4 \pi \times 10^{-7} \, H/m$.Substituting these values into the formula:$B = (4 \pi \times 10^{-7}) \times 500 \times 1000 \times 5$$B = 4 \pi \times 10^{-7} \times 500 \times 10^3 \times 5$$B = 4 \pi \times 10^{-7} \times 2.5 \times 10^6$$B = 10 \pi \times 10^{-1} = \pi \, T$.Therefore,the magnetic flux density is $\pi \, T$.

Class 12 Physics Moving Charges and Magnetism Biot-Savart's Law and its application

Medium

$A$ solenoid of $1000$ turns per metre has a core with relative permeability $500$. Insulated windings of the solenoid carry an electric current of $5 \, A$. The magnetic flux density produced by the solenoid is (permeability of free space $= 4 \pi \times 10^{-7} \, H/m$)

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A
$\pi \, T$
B
$2 \times 10^{-3} \pi \, T$
C
$\frac{\pi}{5} \, T$
D
$10^{-4} \pi \, T$

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Moving Charges and Magnetism

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Biot-Savart's Law and its application

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$A$ solenoid of $1000$ turns per metre has a core with relative permeability $500$. Insulated windings of the solenoid carry an electric current of $5 \, A$. The magnetic flux density produced by the solenoid is (permeability of free space $= 4 \pi \times 10^{-7} \, H/m$)

Similar Questions

Do magnetic forces obey Newton's third law? Verify for two current elements $\overrightarrow{dl_1} = dl(\hat{i})$ located at the origin and $\overrightarrow{dl_2} = dl(\hat{j})$ located at $(0, R, 0)$. Both carry current $I$.

$A$ long straight wire in the horizontal plane carries a current of $50\, A$ in the north to south direction. Find the magnitude and direction of the magnetic field $B$ at a point $2.5\, m$ east of the wire.

The magnetic field at a distance of $10 \ cm$ from a long straight thin wire carrying a current of $4 \ A$ is (in $\mu T$)

$A$ direct current is passing through a wire. It is bent to form a coil of one turn. Now,it is further bent to form a coil of two turns but at a smaller radius. Find the ratio of the magnetic induction at the centre of this two-turn coil to that at the centre of the one-turn coil.

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