Two identical charged bodies have 12 μC and – 18 μC charge respectively. These bodies experience a force of 48 N at certain separation. The bodies are touched and placed at the same separation again. Find the new force between the bodies.

Solution

When two identical bodies having different magnitude of charge are touched, the redistribution of charge takes place and both the bodies acquire same charge.

∴

Charge on each body after touching

= \frac{12 - 18}{2} = - 3 μC

The new force between the bodies

F = \frac{1}{4 {πε}_{0}} \frac{3 \times 10^{- 6} \times 3 \times 10^{- 6}}{x^{2}}

but

48 = \frac{1}{4 {πε}_{0}} . \frac{12 \times 10^{- 6} \times 18 \times μC}{x^{2}}

On dividing both the equations we get,

∴

F = \frac{48 \times 3 \times 10^{- 6} \times 3 \times 10^{- 6}}{12 \times 10^{- 6} \times 18 \times 10^{- 6}} = \frac{48 \times 3 \times 3}{12 \times 18} = 2 N .

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Electric Charges And Fields

Two identical charged bodies have 12 μC and – 18 μC charge respectively. These bodies experience a force of 48 N at certain separation. The bodies are touched and placed at the same separation again. Find the new force between the bodies.

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?

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NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Electric Charges And Fields

Two identical charged bodies have 12 μC and – 18 μC charge respectively. These bodies experience a force of 48 N at certain separation. The bodies are touched and placed at the same separation again. Find the new force between the bodies.

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?b) Explain why two field lines never cross each other at any point?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?