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What is the flux linked with the curved surface of hemisphere?

Posted on August 15, 2022 by Author

What is the flux linked with the curved surface of hemisphere?

Hence, the flux over a curved surface of the hemisphere is −EπR2.

What is the electric flux through the Gaussian surface?

According to Gauss’s law, the flux of the electric field through any closed surface, also called a Gaussian surface, is equal to the net charge enclosed divided by the permittivity of free space : This equation holds for charges of either sign, because we define the area vector of a closed surface to point outward.

What is the total flux from the surface of cylinder of radius R and length L which is placed in a uniform electric field E parallel to cylinder axis?

∴ Total flux through cylinder φA+φB+φC=0.

What is hemisphere area?

The total surface area of a hemisphere = flat surface area + curved surface area. We know that, the curved surface area of a hemisphere =2πr2 and flat surface area =πr2. ∴ Total surface area of a hemisphere =2πr2+πr2=3πr2.

How do you find flux through A hemisphere?

The flux associated with the base of the hemisphere is ϕ=-EπR2 (negative as it is the incoming flux). Hence, the same amount of flux wil be associated with curved surface, but the sigh of the flux will be positive as it is as outgoing flux. Hence, ϕcurve=EπR2 .

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What is the flux due to electric field E 3/10 3 in C?

electric flux will be zero. it is given that, electric field, E = 3 × 10³ i N/C through a square of side 10cm. i.e., and between area vector and electric field is , θ = 90°.

What is the net flux of the uniform electric field of exercise 1.15 through a cube of side?

zero
Thus, the net flux through the cube is zero.

What is called Gaussian surface?

A Gaussian surface (sometimes abbreviated as G.S.) is a closed surface in three-dimensional space through which the flux of a vector field is calculated; usually the gravitational field, the electric field, or magnetic field.

How do you find the Gaussian surface?

How to determine a Gaussian surface?

  1. Step 1: Select the surface from a body or object.
  2. Step 2: Check direction of electric field (E)
  3. Step 3: Check the area vector (A)
  4. Step 4: Check the angle between area vector (A) and electric field (E)
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What is the total flux from the surface of cylinder?

∴ Total flux through cylinder =ϕA+ϕB+ϕc=0.

What happens when an electric dipole placed in a uniform electric field?

The direction of the electric force depends on the nature of charge. If the charge is positive, then the direction of the electric force is in the direction of the electric field. Hence, the electric force on a dipole when it is placed in a uniform electric field is always zero.

Which body is placed in a uniform electric field E?

A hemispherical body is placed in a uniform electric field E. What is the flux linked with curved surface, if field is perpendicular to base in figure. Was this answer helpful?

What is the flux linked with the curved surface?

A hemispherical body is placed in a uniform electric field E. What is the flux linked with the curved surface if the field is perpendicular to the curved surface at every points as in figure. The field is not uniform it is radial, so normal to the curved surface and electric field are in same direction.

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Why does the electric field pass through the cylinder at one end?

Since the electric field is uniform – you will get the same result by choosing a cylinder closed at one end instead of the hemisphere. No flux passes through the sides of the cylinder and the end cap is perpendicular to the field lines which makes integrating the (area dot E) a simple job of multiplication.

What happens if the net charge inside the hemisphere is zero?

If the net charge inside the hemisphere is zero then total flux through is also zero. Always remember that Flux is a scalar quantity which can be calculated through different surfaces of any complex body and then adding them together using the rules of scalar addition.

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