In: Physics
A negative charge of –40nC exerts an attractive force of 12N on a second charge that is 0.050m away. What is the second charge?
Solution:-
Given –
Charge (q1) = -40 nC, its converted into coulomb (q1) = -40 *10-9 C
Force (F) = 12 N
Distance (r) = 0.050 m
Using electric force equation,
Formula- F = k*q1q2 / r2
Where,
F = force
q1 = first charge
q2 = second charge
r = distance between two charges
K – Coulomb constant and its value is 9*109 c
Calculate q2,
q2 = F*(r2) / k*q1
Putting given value in above equation, and calculate q2
q2 = 12*(0.050)2 / 9*109 (-40*10-9)
q2 = 0.03 / -360
q2 = -8.33*10-5 C
The second charge is q2 = -8.33*10-5 C