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Q.

A wire of linear charge density λ passes through a cuboid of length l, breadth b and height h (l>b>h) in such a manner that the flux through the cuboid is maximum. The position of the wire is now changed, so that the flux through the cuboid is minimum. The ratio of maximum flux to minimum flux will be

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a

l2+b2h

b

l2+b2+h2h

c

hl2+b2

d

hl2+b2+h2

answer is B.

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Detailed Solution

From Gauss's law, ϕ=qε0So, ϕmaxϕmin=QmaxQmin=λ(l2+b2+h2)1/2λh=l2+b2+h2h
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A wire of linear charge density λ passes through a cuboid of length l, breadth b and height h (l>b>h) in such a manner that the flux through the cuboid is maximum. The position of the wire is now changed, so that the flux through the cuboid is minimum. The ratio of maximum flux to minimum flux will be