A solenoid field is:
1 answer:
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Answer:
Take a look below
Explanation:
Answer:
1.396 x 10^12
Explanation:
Hi !
Attached you can see a fre body diagram I made about the problem, just set
m1 = m2 = 7.1 g = 0.0071 kg
l = 300 mm = 0.3 m
And since the spheres are brought in contact:
q1 = q2 = q
T1 = T2 = T
k = 8.99×10^9 (Nm^2)/C^2
Since both spheres are in equilibrium the vertical and horizontal components of the force must add to zero, that is:
T cos(15) = mg --- ( 1 )
T sin(15) = k (q/r)^2 --- ( 2 )
Where r, is the distance between the two spheres:
r = 2 l sin(15) = 0.155 m
dividing equation (2) by ( 1 )
tan(15) = (k q^2) / (r^2 mg)
Solving for q^2:
q^2 = tan(15) r^2 mg / k = 4.987 x 10^-14 C^2
q = -2.233 x 10^-7 C
Now, the electric charge of an electron is:
-e = -1.6 x10^-19 C
Therefore, there are q/-e electrons on each sphere:
q/-e = 1.396 x 10^12
