The unit Joule per coulomb refers to electric potential (voltage). When equal charge is given to spheres of different radii, the electric potential remains constant. The electric field near a charged conductor with surface charge density is calculated using the formula E = σ/ε₀.
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The physical quantity whose unit is Joule per Coulomb is Electric Potential . Electric potential is defined as the work done to move a unit positive charge from infinity to a point in an electric field. It is measured in volts (V), where 1 Volt (V) = 1 Joule/Coulomb (J/C).
The Joule is a unit of energy. It is the standard unit of energy in the International System of Units (SI), used to quantify work, heat, or the energy transferred by an electric current.
When equal charge is given to spheres of different radii, the electric potential on the surface of each sphere is different. The potential is given by: V = r k Q where V is the electric potential, k is Coulomb's constant, Q is the charge, and r is the radius of the sphere. Thus, the sphere with the smaller radius will have a higher potential.
For a linear dielectric, the ratio of dielectric polarization P to the applied electric field E is equal to the electric susceptibility χ e . It is expressed as: χ e = E P
The dimensions of electric polarization P are [ P ] = [ L − 2 A ] . Electric polarization is the dipole moment per unit volume and is measured in units of Coulomb per square meter (C/m²).
The electric field E at a point very close to the surface of a charged conductor with surface charge density σ is given by the equation: E = ε 0 σ where ε 0 is the permittivity of free space. This formula applies to the surface of a conductor where the electric field is perpendicular to the surface.