A conductor in the form of a right angle A B C with A B=3 cm and B C=4 cm carries a current of

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A conductor in the form of a right angle A B C with A B=3...

A conductor in the form of a right angle $A B C$ with $A B=3 \mathrm{~cm}$ and $B C=4 \mathrm{~cm}$ carries a current of $10 \mathrm{~A}$. There is a uniform magnetic field of $5 \mathrm{~T}$ perpendicular to the plane of the conductor. The force on the conductor will be (A) $1.5 \mathrm{~N}$ (B) $2.0 \mathrm{~N}$ (C) $2.5 \mathrm{~N}$ (D) $3.5 \mathrm{~N}$

A conductor in the form of a right angle $A B C$ with $A B=3 \mathrm{~cm}$ and $B C=4 \mathrm{~cm}$ carries a current of $10 \mathrm{~A}$. There is a uniform magnetic field of $5 \mathrm{~T}$ perpendicular to the plane of the conductor. The force on the conductor will be
(A) $1.5 \mathrm{~N}$
(B) $2.0 \mathrm{~N}$
(C) $2.5 \mathrm{~N}$
(D) $3.5 \mathrm{~N}$

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Key Concepts

Vector Addition of Forces

When a conductor is composed of multiple segments oriented in different directions, each segment experiences a magnetic force that may act in different directions. The net force on the conductor is determined by the vector sum of these individual forces, which involves breaking them down into components if necessary and using vector addition principles. This approach is critical when analyzing problems where the magnetic forces on various parts of a circuit need to be combined to find the overall effect.

Magnetic Force on a Current-Carrying Conductor

This concept is based on the principle that a current-carrying conductor placed in a magnetic field experiences a force given by F = I × L × B × sin(?), where I is the current, L is the length of the conductor within the field, B is the magnetic field strength, and ? is the angle between the direction of the current and the magnetic field. This force direction is given by the right-hand rule and is fundamental in understanding the interaction between electricity and magnetism.

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