What is the dimension of magnetic field
Correct answer: B. [M L⁻² T⁻²]
- A. [L A⁻³ T⁻²]
- B. [M L⁻² T⁻²]
- C. [M L² T⁻² A⁻¹]
- D. [M T⁻² A⁻¹]
Explanation
The dimension of magnetic field can be determined from the formula for the force on a moving charge in a magnetic field:F = qvBWhere:F is the force on the chargeq is the magnitude of the chargev is the velocity of the chargeB is the magnetic field strengthThe dimensions of the quantities involved are:Force (F): [M L T⁻²]Charge (q): [A T]Velocity (v): [L T⁻¹]Substituting these dimensions into the formula for force, we get:[M L T⁻²] = [A T] [L T⁻¹] [B]Solving for the dimension of magnetic field (B), we get:[B] = [M T⁻² A⁻¹]
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Magnetic flux density and magnetic flux describe the strength of a magnetic field and the field passing through a surface. A charged particle moving through a magnetic field experiences a force perpendicular to its velocity and may follow circular or helical motion, depending on the angle between velocity and field.
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