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A coil having 100 turns and an area of 0.02 m2 is placed with its plane perpendicular to the magnetic field of 1 Wbm-2. The magnetic flux linked with the coil is

  • A.zero
  • B.1 Wb
  • C.2 Wb
  • D.3 Wb
  • E.5 Wb

Answer: C

The flux linked with the coil is 2 Wb.

With the plane perpendicular to the field, the field is along the normal and the angle between them is 0. The flux linked with all N turns is

\[ \begin{aligned} N\phi &= NBA\cos 0^{\circ} \\ &= 100 \times 1 \times 0.02 = 2\ \text{Wb} \end{aligned} \]

Zero would apply if the plane were parallel to the field. The flux through a single turn is 0.02 Wb; the 100 turns raise the linkage to 2 Wb.

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