CBSE Class 12-science Answered
explain coulambs law give unit and dimensions of electrostatics constant and coulambs law in vector form with superposition principle

Asked by bhatig9772 | 09 Jan, 2023, 06:48: PM
Coulomb's law
Electrostatic force
between two charges q1 and q2 that are separated by a distance d is


where K = 1/(4
) is Coulomb's constant or electrostatic constant and
is unit vector


along the direction of line joining charges q1 and q2 .
----------------------------------------
Units of electrosatatic constant K = 1/(4
) is N m2 C-2

Dimension of Newton N = M L T-2
Coulomb is current × time . Hence dimension of coulomb = A T-1
Hence dimension of electrostatic constant = M L T-2 × L2 × A T-2 = M L3 T-3
( M is mass , L is length and A is Ampere )
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Coulomb's law in vector form and superposition principle

Let q be the test charge at position vector
as shown in figure.

Charge q1 is at position vector
. charge q2 is at position vector
.. So on ....


Net force
experienced by charge q is


where di =
and


Answered by Thiyagarajan K | 09 Jan, 2023, 11:42: PM
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