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A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface centred at the origin with r = R

  • a)
    Rλ/ε0

  • b)
    2Rλ/ε0

  • c)
    λ/ε0

  • d)
    none of the above

Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A uniform line charge with linear density λ lies along the y-ax...
The total charge on the body If there are n1 electrons and n2 protons will be |n1-n2|.
Because whichever of the two will be lower in number, will be neautralized by the other and the left electrons/ protons will be the reason for the charge on the body.
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A uniform line charge with linear density λ lies along the y-ax...
Λ is a theoretical model used in electrostatics to describe the behavior of a distribution of electric charges along a straight line. It is often used to model the behavior of charged wires or rods.

The linear charge density λ is defined as the amount of charge per unit length along the line. Mathematically, it can be expressed as:

λ = Q / L

where Q is the total charge along the line and L is the length of the line.

The electric field intensity E at a point P located a distance r from the line charge can be calculated using Coulomb's law:

E = k λ / r

where k is Coulomb's constant.

The electric potential V at a point P located a distance r from the line charge can be calculated using the formula:

V = k λ ln(r/r0)

where r0 is a reference distance from the line charge. The potential is measured in volts.

The behavior of a uniform line charge with linear density λ can also be described using Gauss's law. This law relates the electric flux through a closed surface surrounding the line charge to the charge enclosed within the surface.
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