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PhysicsElectrostaticsGauss LawMedium2 minPYQ_2021
PhysicsMediumnumerical

The electric field in a region is given byE=35E0i^+45E0j^ N C-1. The ratio of flux of reported field through the rectangular surface of area0.2 m2(parallel toy-zplane) to that of the surface of area0.3 m2(parallel tox-zplane) isa:b=a:2,wherea=?[Herei^, j^andk^are unit vectors alongx, yandz-axes respectively]

Answer:
1.00
Solution:

E=3E05i^+4E05j^ N C-1

A1=0.2 m2 [parallel to y-z plane]

=A1=0.2 m2i^

A2=0.3 m2 [parallel to x-z plane]

A2=0.3 m2j^

Now, ϕa=3E05i^+4E05j^·0.2i^=3×0.25E0

& ϕb=3E05i^+4E05j^·0.3j^=4×0.35E0

Now, ϕaϕb=0.61.2=12=ab

a:b=1:2

a=1

Stream:JEESubject:PhysicsTopic:ElectrostaticsSubtopic:Gauss Law
2mℹ️ Source: PYQ_2021

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