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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 .

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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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