The torque acting on a current carrying coil is given by _.
Correct answer: A. τ = NIAB cos α
- A. τ = NIAB cos α
- B. τ = BIL sin α
- C. τ = NIAB sin α
- D. τ = BIL cos α
Explanation
The correct formula for the torque acting on a current-carrying coil is τ = NIAB cos α. This equation accounts for the number of loops (N), the current (I), the area vector (A), the magnetic field (B), and the cosine of the angle (α) between the magnetic field and the area vector. Option A correctly incorporates all these elements. Option B is incorrect because it misses the number of loops and uses 'sin α', which is relevant for a straight wire in a magnetic field. Option C is wrong because it uses 'sin α' instead of 'cos α', which does not correctly describe the orientation of the coil in the magnetic field. Option D also omits the number of loops, which is essential for calculating torque in a coil.
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About Magnetic Flux Density
Magnetic flux density measures the magnetic force acting on a current carrying conductor or moving charge in a magnetic field. Work includes the relations B equals F divided by IL and F equals qvB, the tesla as its SI unit, field direction and the distinction between flux density and magnetic flux.
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