Q. 63.8( 12 Votes )

# Two charges 2.0 ×

Answer :

Given:

Charges:

Distance between the charge is 10 cm

Let the third charge be q. There are three possible scenarios:

As we can see from the picture, the only possible location for q where net force on q is zero is between the two charges. Let it be x m away from q_{1}, x > 0.

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**Formula used:**

By Coulomb’s law, the electric force is given by:

Where ϵ_{0} is the permittivity of free space

k is the electrostatic constant

q_{1} and q_{2} are the magnitude of charges

r is the distance of separation between the charges

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Force on q due to q_{1} is given by:

Force on q due to q_{2} is given by:

Now,

As x > 0. The correct option is 0.041.

Distance from charge q_{2} = 0.1 – 0.041 = 0.059 m

Hence, the charge q should be placed 5.9 cm from q_{2}.

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