Estimating Density of Electric Field Lines Quiz

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18 Questions

What information do field lines provide about the electric field?

Direction of the electric field at different points in space

How does the number of field lines passing through an enclosing area change with distance from a point charge?

Remains constant regardless of distance

In what manner do field lines crowd where the electric field is strong?

They become thicker

What is the relationship between the number of field lines crossing an area element and the magnitude of the electric field at that point?

Directly proportional

What happens to field lines when the electric field strength is weak?

They become sparser

What does the relative density (closeness) of field lines indicate?

Relative strength of the electric field at different points

What is the expression for the solid angle DW subtended by a small perpendicular plane area DS at a distance r in three dimensions?

DW = DS/r^2

In a given solid angle, what remains the same regarding the number of field lines?

The number of radial field lines

What did Faraday call the visual representation of electric fields around charged configurations?

Lines of force

What was Faraday's purpose in inventing the picture of field lines?

To provide an intuitive way of visualizing electric fields

What is the dependence of the strength of the electric field on the distance from the charge?

$1/r^2$ dependence

How is the angle subtended by a small transverse line element Dl approximated at a distance r from a point O?

$Dq = Dl/r$

What is physically significant when considering electric flux?

The relative number of field lines crossing a given area

What is the unit of electric flux?

N/C

How can the total electric flux through a surface be calculated?

By integrating the dot product of the electric field and area element over the surface

What condition needs to be satisfied for the approximation in calculating electric flux to be exact?

Electric field must be constant and small area element tends to zero

In what direction is the line connecting the two charges of an electric dipole defined?

From positive charge to negative charge

What is true about the total charge of an electric dipole?

It is zero

Test your knowledge on estimating the density of electric field lines based on the number of lines per unit cross-sectional area perpendicular to the lines. Understand how the electric field and area enclosing a charge affect the number of field lines crossing the area.

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