Two short magnets of magnetic moment 2 Am^2 and 5 Am^2 are placed along two lines drawn at right

step 1 Hello students in this question we have two short magnets of magnetic movement m equals to 2 amp

Two short magnets of magnetic moment 2 Am^2 and 5 Am^2 are...

Two short magnets of magnetic moment $2 \mathrm{Am}^{2}$ and $5 \mathrm{Am}^{2}$ are placed along two lines drawn at right angle to each other on the sheet of paper as shown in the figure. What is the magnetic field at the point of intersection of their axis: (a) $2.15 \times 10^{-5} \mathrm{~T}$ (b) $215 \times 10^{-5} \mathrm{~T}$ (c) $2.15 \times 10^{-3} \mathrm{~T}$ (d) $21.5 \times 10^{-5} \mathrm{~T}$

Two short magnets of magnetic moment $2 \mathrm{Am}^{2}$ and $5 \mathrm{Am}^{2}$ are placed along two lines drawn at right angle to each other on the sheet of paper as shown in the figure. What is the magnetic field at the point of intersection of their axis:
(a) $2.15 \times 10^{-5} \mathrm{~T}$
(b) $215 \times 10^{-5} \mathrm{~T}$
(c) $2.15 \times 10^{-3} \mathrm{~T}$
(d) $21.5 \times 10^{-5} \mathrm{~T}$

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Key Concepts

Vector Addition in Field Calculations

Since magnetic fields are vector fields, calculating the net field involves adding the contributions from separate sources taking both magnitude and direction into account. This often requires breaking the fields into components, especially when the sources are arranged along perpendicular axes.

Magnetic Dipole Moment

This is a vector quantity that characterizes the strength and orientation of a magnetic source, such as a magnet. It determines how the source interacts with an external magnetic field and produces its own field around it.

Magnetic Dipole Field

The magnetic field produced by a dipole decreases with distance and has a well?defined spatial distribution. Its magnitude and direction depend on the position relative to the dipole's axis, with common expressions derived for the axial and equatorial points.

Superposition Principle

In magnetostatics, the principle of superposition states that the net magnetic field at any point is the vector sum of the fields produced by each individual dipole. This principle is crucial when dealing with multiple magnets influencing a point in space.

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