Moderate

If the magnitude of charges on two point objects is doubled and the distance between them is also doubled, then force will be: ...

Correct answer: C. Unchanged

  • A. Two times
  • B. Four times
  • C. Unchanged
  • D. Halved

Explanation

Initially, the force between charges say q1 and q2 seperated with distance r is :F=4πϵ0 1 r2q1 q2 Step 2: New force calculationWhen the charge is doubled and the distance between charges is also doubled, i.e q1′ =2q1 ,q2′ =2q2 ,r′=2r The new force will be : F′=4πϵ0 1 r′2q1′ q2′ F′=4πϵ0 1 (2r)2(2q1 )(2q2 ) =4πϵ0 1 r2q1 q2 =F Hence, the force will remain the same

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Electrostatics describes forces between charges through Coulomb's law, electric fields and field intensity, then uses electric potential to measure energy per unit charge. Capacitors store charge and electrical energy, with capacitance depending on geometry and dielectric material, not simply on the amount of charge present.

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