The reasons are discussed below -
We have a straight current carrying wire placed in a uniform magnetic field.
We have to explain why we can't determine the direction of the magnetic force from the information given in the problem.
<h3>What is the magnitude of force acting on a current (I) carrying wire of length (L) placed in a Magnetic field (B)?</h3>
The force on the current carrying wire will be -
F = IBL sinθ
According to the question -
It is impossible to determine the direction of magnetic force because of the following reasons -
Firstly, the length of the wire present in the region of magnetic field is given. If we assume it to be ∞, then -
F = IB sin(θ) x ∞ = ∞ (which is not a valid result)
Secondly, Although it is mentioned that a straight current carrying wire is placed perpendicular to the uniform magnetic field, there is no mention about the exact orientation of the magnetic field direction. For example, if we consider the wire along +x axis then perpendicular could be any of the four directions -
+k, -k, +j, -j
Hence, these are the reasons why we can't determine the direction of the magnetic force from the information given in the problem.
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