Q. 63.8( 12 Votes )

# Two charges 2.0 ×

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 q1, x > 0. ________________________________________________

Formula used:

By Coulomb’s law, the electric force is given by: Where ϵ0 is the permittivity of free space

k is the electrostatic constant

q1 and q2 are the magnitude of charges

r is the distance of separation between the charges

__________________________________________________

Force on q due to q1 is given by: Force on q due to q2 is given by: Now,      As x > 0. The correct option is 0.041.

Distance from charge q2 = 0.1 – 0.041 = 0.059 m

Hence, the charge q should be placed 5.9 cm from q2.

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