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Electric flux of a surface is maximum, when
- a)Surface area is zero.
- b)Electric field is zero.
- c)area vector is perpendicular to the direction of electric field.
- d)area vector is parallel to the direction of electric field.
Correct answer is option 'D'. Can you explain this answer?
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Electric flux of a surface is maximum, whena)Surface area is zero.b)El...
Electric flux is a measure of the electric field passing through a given surface. It is defined as the dot product of the electric field vector and the area vector of the surface. The electric flux through a surface can be calculated using the formula Φ = E ∙ A, where Φ is the electric flux, E is the electric field, and A is the area vector.
To determine the conditions under which the electric flux is maximum, let's analyze the given options:
a) Surface area is zero: If the surface area is zero, then there is no surface for the electric field to pass through. Therefore, the electric flux will be zero.
b) Electric field is zero: If the electric field is zero, then there is no electric field passing through the surface. In this case, the electric flux will also be zero.
c) Area vector is perpendicular to the direction of the electric field: When the area vector is perpendicular to the electric field vector, the dot product of the two vectors will be maximum. This is because the dot product of two vectors is maximum when the vectors are perpendicular to each other. Therefore, in this case, the electric flux will be maximum.
d) Area vector is parallel to the direction of the electric field: When the area vector is parallel to the electric field vector, the dot product of the two vectors will be zero. This is because the dot product of two vectors is zero when the vectors are parallel to each other. Therefore, in this case, the electric flux will be zero.
Hence, the correct answer is option 'd' - the electric flux is maximum when the area vector is parallel to the direction of the electric field.
To determine the conditions under which the electric flux is maximum, let's analyze the given options:
a) Surface area is zero: If the surface area is zero, then there is no surface for the electric field to pass through. Therefore, the electric flux will be zero.
b) Electric field is zero: If the electric field is zero, then there is no electric field passing through the surface. In this case, the electric flux will also be zero.
c) Area vector is perpendicular to the direction of the electric field: When the area vector is perpendicular to the electric field vector, the dot product of the two vectors will be maximum. This is because the dot product of two vectors is maximum when the vectors are perpendicular to each other. Therefore, in this case, the electric flux will be maximum.
d) Area vector is parallel to the direction of the electric field: When the area vector is parallel to the electric field vector, the dot product of the two vectors will be zero. This is because the dot product of two vectors is zero when the vectors are parallel to each other. Therefore, in this case, the electric flux will be zero.
Hence, the correct answer is option 'd' - the electric flux is maximum when the area vector is parallel to the direction of the electric field.
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Electric flux of a surface is maximum, whena)Surface area is zero.b)El...
Angle between area and electric flux=0°
Eflux=EAcos(0°)~give maximum electric flux
Eflux=EAcos(0°)~give maximum electric flux
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Electric flux of a surface is maximum, whena)Surface area is zero.b)Electric field is zero.c)area vector is perpendicular to the direction of electric field.d)area vector is parallel to the direction of electric field.Correct answer is option 'D'. Can you explain this answer?
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