Q. 254.8( 8 Votes )
Two identical pit
Charges on ball = q
Angle between the balls = 2θ
Length of the strings = l
Let the magnitude of Tension be T. Let the electric force between the pitch balls be Fe. Let the mass of each pitch ball be m. The free body diagram is as follows:
Now, let the distance between the two charges be r.
By Coulomb’s law, the electric force id given by:
Where ϵ0 is the permittivity of free space
q1 and q2 are the magnitude of charges
r is the distance of separation between the charges
Here, q1 =q2 = q.
Now, let us find the magnitude of the electric force, Fe :
Substituting eq (1), we get
As the system is in equilibrium, all the forces in each direction must sum up to zero.
Substituting (2) in (3), we get
Substituting (4), we get
Substituting (5) in (6), we get
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