At any point on an electric field linea)The perpendicular to the line is in the direction of electric field at that pointb)The tangent to the line is in the direction of electric field at that pointc)The normal to the line is in the direction of electric field at that pointd)The curvature is in the direction of electric field at that pointCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Explanation:

Electric Field Lines:
Electric field lines are imaginary lines used to represent the direction and magnitude of the electric field at different points in space. These lines are drawn such that the tangent to the line at any point gives the direction of the electric field at that point.

Tangent to the Electric Field Line:
The tangent to an electric field line at any point indicates the direction of the electric field at that point. This means that if you were to place a small positive test charge at that point, it would experience a force in the direction of the tangent to the electric field line.

Direction of the Electric Field:
The electric field is a vector quantity, meaning it has both magnitude and direction. The direction of the electric field is defined as the direction of the force that a positive test charge would experience if placed at that point. Therefore, the direction of the electric field at any point is given by the tangent to the electric field line at that point.

Perpendicular to the Electric Field Line:
The perpendicular to an electric field line at any point is not necessarily in the direction of the electric field at that point. Instead, it is perpendicular to the tangent to the electric field line at that point.

Normal to the Electric Field Line:
The normal to an electric field line at any point is also not necessarily in the direction of the electric field at that point. The normal is a line that is perpendicular to the electric field line, which means it is also perpendicular to the tangent to the electric field line at that point.

Curvature of the Electric Field Line:
The curvature of an electric field line at any point does not indicate the direction of the electric field at that point. The curvature of the field line represents the change in direction of the electric field as you move along the line.

Therefore, at any point on an electric field line, the tangent to the line is in the direction of the electric field at that point. This is the correct answer because the tangent to the electric field line represents the direction of the electric field, while the other options (perpendicular, normal, and curvature) do not directly represent the direction of the electric field.

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