(A) For a long cylindrical conductor of radius $R$ carrying a current $I$ distributed uniformly, the magnetic field $B$ at a distance $r$ from the axi

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$A$. maximum at either ends of the conductor and minimum at the midpoint

(A) For a long cylindrical conductor of radius $R$ carrying a current $I$ distributed uniformly, the magnetic field $B$ at a distance $r$ from the axis is given by Ampere's circuital law:$1$. Inside the conductor $(r $2$. At the surface $(r = R)$: $B = \frac{\mu_0 I}{2 \pi R}$, which is the maximum value.$3$. Outside the conductor $(r > R)$: $B = \frac{\mu_0 I}{2 \pi r}$, which decreases as $r$ increases.Thus, the magnetic field is minimum at the axis of the conductor (statement $D$). Statement $A, B, C, E$ are incorrect. Therefore, only statement $D$ is correct.

Class 12 Physics Moving Charges and Magnetism Ampere’s circuital law and its application (Solenoid and Toroid)

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$A$ long cylindrical conductor with a large cross-section carries an electric current distributed uniformly over its cross-section. The magnetic field due to this current is:

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A
$A$. maximum at either ends of the conductor and minimum at the midpoint
B
$B$. maximum at the axis of the conductor
C
$C$. minimum at the surface of the conductor
D
$D$. minimum at the axis of the conductor

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Moving Charges and Magnetism

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Ampere’s circuital law and its application (Solenoid and Toroid)

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$A$ long cylindrical conductor with a large cross-section carries an electric current distributed uniformly over its cross-section. The magnetic field due to this current is:

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The free space inside a current-carrying toroid is filled with a material of magnetic susceptibility $2 \times 10^{-2}$. The percentage increase in the value of the magnetic field inside the toroid will be $.....\%$.

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$A$ solenoid of $1.5 \ m$ length and $4.0 \ cm$ diameter possesses $10 \ turns/cm$. $A$ current of $5 \ A$ is flowing through it. The magnetic induction at the axis inside the solenoid is:

$A$ toroid has a core (non-ferromagnetic) of inner radius $24 \ cm$ and outer radius $26 \ cm$ around which $2000$ turns of a wire are wound. If the current in the wire is $12 \ A$, the magnetic field inside the core of the toroid is:

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