A magnetic field in a region of space produced by a long straight wire carrying a current I has the form π© = π0πΌ 2ππ πΜ , where r is the perpendicular distance from the z-axis and π is a unit vector in the circumferential direction. A test wire is positioned in the magnetic field at a distance r and carries a current flowing in the positive z-direction. If the test wire has length L, calculate the force on the wire using the Lorentz force formula.
As per the given question,
Magnetic field in the region
Length of the test wire is L and the current in the wire is L
Hence lorentz force on the test wire is
Hence,
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