The electric flux through a surface is maximum when the area vector is parallel to the direction of the electric field.

Here's why:

1. Electric flux (Φ) is defined as the dot product of the electric field (E) and the area (A) through which the field lines pass. Mathematically, it is represented as Φ = E.A.

2. The dot product of two vectors is maximum when the angle between them is zero. In this case, the two vectors are the electric field vector and the area vector.

3. The area vector is always perpendicular to the surface. So, for the dot product to be maximum (i.e., for the angle between E and A to be zero), the electric field lines must also be perpendicular to the surface. In other words, the electric field lines must be parallel to the area vector.

4. Therefore, the electric flux of a surface is maximum when the area vector is parallel to the direction of the electric field.

The other options mentioned (surface area is zero, electric field is zero, area vector is perpendicular to the direction of electric field) would not result in maximum electric flux.

Question

The electric flux through a surface is maximum when the area vector is parallel to the direction of the electric field.

Here's why:

1. Electric flux (Φ) is defined as the dot product of the electric field (E) and the area (A) through which the field lines pass. Mathematically, it is represented as Φ = E.A.

2. The dot product of two vectors is maximum when the angle between them is zero. In this case, the two vectors are the electric field vector and the area vector.

3. The area vector is always perpendicular to the surface. So, for the dot product to be maximum (i.e., for the angle between E and A to be zero), the electric field lines must also be perpendicular to the surface. In other words, the electric field lines must be parallel to the area vector.

4. Therefore, the electric flux of a surface is maximum when the area vector is parallel to the direction of the electric field.

The other options mentioned (surface area is zero, electric field is zero, area vector is perpendicular to the direction of electric field) would not result in maximum electric flux.

Knowee AI · Accepted Answer

The electric flux through a surface is maximum when the area vector is parallel to the direction of the electric field.

Here's why:

1. Electric flux (Φ) is defined as the dot product of the electric field (E) and the area (A) through which the field lines pass. Mathematically, it is represented as Φ = E.A.

2. The dot product of two vectors is maximum when the angle between them is zero. In this case, the two vectors are the electric field vector and the area vector.

3. The area vector is always perpendicular to the surface. So, for the dot product to be maximum (i.e., for the angle between E and A to be zero), the electric field lines must also be perpendicular to the surface. In other words, the electric field lines must be parallel to the area vector.

4. Therefore, the electric flux of a surface is maximum when the area vector is parallel to the direction of the electric field.

The other options mentioned (surface area is zero, electric field is zero, area vector is perpendicular to the direction of electric field) would not result in maximum electric flux.

Electric flux of a surface is maximum, whenSurface area is zero.Electric field is zero.Area vector is perpendicular to the direction of electric field.Area vector is parallel to the direction of electric field.

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