Which of the following laws deduces the expression for the force between two stationary point charges in vacuum or free space?

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SSC CGL 2021 Tier-I (Held On : 12 April 2022 Shift 2)
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  1. Lenz’s Law
  2. Coulomb’s Law
  3. Gauss' Law
  4. Ohm’s Law

Answer (Detailed Solution Below)

Option 2 : Coulomb’s Law
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Detailed Solution

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​The correct answer is Coulomb’s Law.

Key Points

  • Coulomb’s Law talks about the magnitude of the attraction between the two charges.
    • It says that the force is directly proportional to the product of the quantity of the two charges.
    • F ∝ q1q2where (F is Force, q1 and q2 are charges).
    • It is also inversely proportional to the square of the distance between them.
  • i.e., F  1/r2 where (F is Force, r is the distance between the charges).
  • Thus, the equation is
  • \(F\; = \;k\frac{{{q_1}{q_2}}}{{{r_2}}}\;\)where k is the proportionality constant and is equal to 9 × 109 Nm2/C2.
  • The Law was given by Charles-Augustin de Coulomb in the year 1784.

Additional Information

  • Lenz's law states that the direction of the induced current in the coil will be always in such a way that it opposes the change which produces the current.
  • According to Gauss law, the total electric flux linked with a closed surface called Gaussian surface is \(\frac{1}{ϵ_o}\) the charge enclosed by the closed surface.
  • Ohm’s law states that at a constant temperature, the current through a conductor between two points is directly proportional to the voltage across the two points.
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