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Question
A rectangular loop of size 5 cm × 8 cm is lying in x-y plane in a uniform magnetic field `vec B = (2.0 T) hat k`. The total magnetic flux linked with the loop is ______.
Options
80 Wb
16 Wb
8 × 10−2 Wb
8 × 10−3 Wb
MCQ
Fill in the Blanks
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Solution
A rectangular loop of size 5 cm × 8 cm is lying in x-y plane in a uniform magnetic field `vec B = (2.0 T) hat k`. The total magnetic flux linked with the loop is 8 × 10−3 Wb.
Explanation:
Given: Area (A) = 5 cm × 8 cm = 40 cm2 = 40 × 10−4 m2 = 4 × 10−3 m2
The loop lies in the x-y plane, so its area vector is along the z-direction `(hat k)`.
The magnetic field is given as:
`vec B = 2.0 hat k`
Since `vec B` and `vec A` are parallel, θ = 0° and cos θ = 1.
Φ = B × A
= 2.0 × (4 × 10−3)
= 8 × 10−3 Wb
∴ The total magnetic flux is 8 × 10−3 Wb.
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