A charge placed between +4 and -16 experience zero force
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at a distance of X/3 it would be zero force
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student-name Galux asked in Physics
Two point charges of values Q and q are placed at a distance of x and x/2 respectively from a third charge of value 4q, all the charges being in the same straight line. Calculate the magnitude and the nature of the charge Q such that the net force experienced by the q charge is zero?
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student-name Kranav.sharma... answered this
8620 helpful votes in Physics, Class XII-Science
Hello!
In this case, the net force experienced by the central charge 'q' would be zero only if the Coulombic forces exerted by both the charges 'Q' and '4q' are equal and opposite.
The figure below shows the basic configuration of charges.
By Coulomb's Law, we have
FQ,q = kQq/r2 which is the force exerted by charge Q on charge q
and F4q,q = k4qq/r2 which is the force exerted by 4q on q
Now as per the question,
FQ,q + F4q,q = 0 or FQ,q = - F4q,q
we can substitute the values and deduce the following relationship
Q = -4q
The magnitude on the charge Q is 4q and has an opposite polarity to the charge 4q.