Question

in CGS system, the constant k in Coulomb's law has a value 1, but k not equal to 1 in Si system. Why?​

Answer 1

Answer:

bcoz its PPR from SPHS.

Explanation:

Answer 2

The explanation is given below:

Explanation:

In CGS system the value of Coulomb's constant k is 1 it is set so that the force between two charges $q_1$ and $q_2$ and separated by distance $r$ is directly equal to

$F=\frac{q_1q_2}{r^2}$      ......... (1)

here the unit of charges is esu or electrostatic unit. This unit is taken such that  the Coulomb's law is given by equation (1)

i.e. two 1 esu charges separated by a distance of 1 cm will experience force of 1 dyne

1 C = $3\times 10^9$ esu

If we convert this into SI system

Then

1 gm-cm³/s²/esu² = $\frac{10^{-3}\times (10^-2)^3}{(1/3\times 10^9)^2}$ kg-m³/s²/C²

or 1 gm-cm³/s²/esu²=$9\times 10^9$ kg-m³/s²/C²

Hope this answer is helpful.

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