Electric Charges and Fields — Class 12 Physics
Physics Part I · Chapter 1Rising
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Chapter summary
Matter carries an intrinsic property called electric charge, which exists in two kinds, positive and negative, and is conserved and quantised as . Like charges repel and unlike charges attract through a force whose magnitude between two point charges in vacuum obeys Coulomb's law . To describe the influence a charge exerts on its surroundings we introduce the electric field , a vector quantity whose direction follows the force on a positive test charge. Field lines give a pictorial map of : they start on positive and end on negative charges, never cross, and crowd together where the field is strong. An electric dipole, two equal and opposite charges separated by a small distance, has a dipole moment and experiences a torque in a uniform field. Electric flux measures the field threading a surface, and Gauss's law states the net flux through any closed surface equals the enclosed charge divided by . Gauss's law gives elegant results for symmetric distributions: the field of an infinite line, an infinite charged sheet, and a uniformly charged spherical shell.
Charge, conservation and quantisationCoulomb's law and superpositionElectric field and field linesElectric dipole and torqueElectric flux and Gauss's lawApplications of Gauss's law
Key ideas & terms
- Quantisation of charge
- Charge appears only in integral multiples of the elementary charge
, so . - Coulomb's law
- The electrostatic force between two point charges varies as the product of charges and inversely as the square of separation.
- Electric field
- Force per unit positive test charge at a point,
, measured in N/C. - Electric dipole moment
- Vector
directed from the negative to the positive charge. - Electric flux
- Scalar product of field and area summed over a surface,
. - Gauss's law
- Net flux through a closed surface equals the enclosed charge divided by
.
Extra questions & answers
What are the two basic properties of electric charge besides additivity?
Charge is conserved (total charge of an isolated system is constant) and quantised (
State Coulomb's law in vector form.
Why can two electric field lines never intersect?
At an intersection the field would have two directions at one point, which is impossible since
What is the torque on a dipole in a uniform field?
What is the field of a dipole on its axial line far away?
State Gauss's law.
The net electric flux through any closed surface equals
What is the field due to an infinitely long uniformly charged line?
What is the field due to an infinite charged sheet?
What is the field inside a uniformly charged spherical shell?
Zero everywhere inside; outside it behaves as if all charge were at the centre.
Define electric flux and give its SI unit.
It is


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