At a given place, horizontal and vertical component of earth’s magnetic field B_H and B_V are along X and Y - axes, respectively, as shown in the figure. What is the total flux of earth’s magnetic field associated with an area ‘s’, if the area ‘s’ is in the XY - plane ?

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B_VS

B_HS

(B_H+B_V)S

answer is A.

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Detailed Solution

$magnetic flux ϕ = \overset{⇀}{B} . \overset{⇀}{A} = BA cosθ as area vector along Z axis and B_{H} along x - axis θ = 90^{0} so ϕ = zero due to B_{H} . Also Due to B_{v}, θ = 90^{0} with area vector so flux is is also zero$

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