(C) The magnetic force $F$ acting on the side of the loop of length $L$ inside the magnetic field $B$ is given by $F = BIL$,where $I$ is the current i

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(C) The magnetic force $F$ acting on the side of the loop of length $L$ inside the magnetic field $B$ is given by $F = BIL$,where $I$ is the current in the loop.For the magnetic force to balance the weight of the mass $M$,we must have $F = Mg$.Therefore,$BIL = Mg$.According to Ohm's law,the current $I$ in the loop is given by $I = \frac{V}{R}$,where $V$ is the applied voltage and $R$ is the resistance of the loop.Substituting the value of $I$ in the force equation,we get $B \left( \frac{V}{R} \right) L = Mg$.Rearranging the terms to solve for $V$,we get $V = \frac{MgR}{BL}$.

Class 12 Physics Moving Charges and Magnetism Force on a Current Carrying Conductor

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$A$ massless square loop of wire of resistance $R$ supporting a mass $M$ hangs vertically with one of its sides in a uniform magnetic field $B$ directed outwards in the shaded region. $A$ d.c. voltage $V$ is applied to the loop. For what value of $V$ will the magnetic force exactly balance the weight of the supporting mass $M$? (side of loop $= L, g =$ acceleration due to gravity)

MHT CET 2024 All MHT CET

A
$\frac{Mg}{LBR}$
B
$\frac{LB}{MgR}$
C
$\frac{MgR}{LB}$
D
$\frac{LR}{MgB}$

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Moving Charges and Magnetism

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Force on a Current Carrying Conductor

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$A$ current of $3\, A$ is flowing in a linear conductor of length $40\, cm$. The conductor is placed in a magnetic field of strength $500\, G$ and makes an angle of $30^\circ$ with the direction of the field. The magnitude of the force experienced by the conductor is:

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$A$ semi-circular loop of radius $30 \,cm$ wire carries current $6 \,A$. $A$ uniform magnetic field $0.5 \,T$ is present perpendicular to the plane of the loop. What is the magnitude of force exerted on the wire (in $\,N$)?

EasyTS EAMCET 2019

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$A$ current of $10\, A$ is flowing in a wire of length $1.5\, m$. $A$ force of $15\, N$ acts on it when it is placed in a uniform magnetic field of $2\, T$. The angle between the magnetic field and the direction of the current is.....$^o$

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Two parallel,long wires are kept $0.20 \, m$ apart in a vacuum,each carrying a current of $x \, A$ in the same direction. If the force of attraction per meter of each wire is $2 \times 10^{-6} \, N$,then the value of $x$ is approximately:

MediumJEE MAIN 2022

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$A$ conducting wire $PQ$ carries a current $10 \ A$ as shown in the figure. It is placed in a uniform magnetic field $5 \ T$ which is acting normally outwards from the paper. The net force experienced by the wire is:

MediumTS EAMCET 2023

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$A$ current of $3\, A$ is flowing in a linear conductor of length $40\, cm$. The conductor is placed in a magnetic field of strength $500\, G$ and makes an angle of $30^\circ$ with the direction of the field. The magnitude of the force experienced by the conductor is:

$A$ semi-circular loop of radius $30 \,cm$ wire carries current $6 \,A$. $A$ uniform magnetic field $0.5 \,T$ is present perpendicular to the plane of the loop. What is the magnitude of force exerted on the wire (in $\,N$)?

$A$ current of $10\, A$ is flowing in a wire of length $1.5\, m$. $A$ force of $15\, N$ acts on it when it is placed in a uniform magnetic field of $2\, T$. The angle between the magnetic field and the direction of the current is.....$^o$

Two parallel,long wires are kept $0.20 \, m$ apart in a vacuum,each carrying a current of $x \, A$ in the same direction. If the force of attraction per meter of each wire is $2 \times 10^{-6} \, N$,then the value of $x$ is approximately:

$A$ conducting wire $PQ$ carries a current $10 \ A$ as shown in the figure. It is placed in a uniform magnetic field $5 \ T$ which is acting normally outwards from the paper. The net force experienced by the wire is:

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