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प्रश्न
Given a uniform electric field `vecE=5xx10^3hati`N/C, find the flux of this field through a square of 10 cm on a side whose plane is parallel to the y-z plane. What would be the flux through the same square if the plane makes a 30° angle with the x-axis ?
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उत्तर
When the plane is parallel to the y-z plane:
Electric flux, `phi=vecE.vecA`
Here:
`vecE=5xx10^3hati "N/C"`
`vecA=(10cm^2)hati=10^(-2)hatim^2`
`:.phi=(5xx10^3hati).(10^(-2)hati)`
⇒ ϕ =50 Weber
When the plane makes a 30° angle with the x-axis, the area vector makes 60° with the x-axis.
`phi=vecE.vecA`
⇒ϕ=EA cosθ
⇒ϕ=(5×103)(10−2)cos60°
`=>phi=50/2`
⇒ ϕ =25 Weber
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संबंधित प्रश्न
What is the net flux of the uniform electric field of previous question through a cube of side 20 cm oriented so that its faces are parallel to the coordinate planes?
Define Electric Flux.
Mark the correct options:
Electric charges are distributed in a small volume. The flux of the electric field through a spherical surface of radius 10 cm surrounding the total charge is 25 V m. The flux over a concentric sphere of radius 20 cm will be _____________ .
A charge 'Q' µC is placed at the centre of a cube. The flux through one face and two opposite faces of the cube is respectively ______.
The electric flux through the surface ______.
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| (i) | (ii) | (iii) | (iv) |
In a region of space having a uniform electric field E, a hemispherical bowl of radius r is placed. The electric flux Φ through the bowl is:
A charge Qµc is placed at the centre of a cube the flux coming from any surface will be.
A hollow sphere of radius R has a point charge Q at its centre. Electric flux emanating from it is `phi`. If both the charge and the radius of the sphere are doubled, electric flux emanating from the sphere will ______.




