In a Milliken type experiment, two horizontal parallel plates are 1.0 cm apart. A sphere of mass 2.2 x 10^(-13) kg remains stationary when the potential difference between the plates is 350V with the upper plate is negative. How much excess or deficit of electrons does the sphere have? (the sphere is negatively charged and has a charge of 6.2 x 10^(-17))
To determine the excess or deficit of electrons on the sphere in a Milliken type experiment, we need to use the equation:
q = CV
Where:
q is the charge on the sphere in coulombs,
C is the capacitance between the plates in farads, and
V is the potential difference between the plates.
In this case, the potential difference V is given as 350V, and the charge on the sphere q is given as -6.2 x 10^(-17) C.
The capacitance C can be calculated using the formula:
C = ε₀A/d
Where:
C is the capacitance in farads,
ε₀ is the permittivity of free space (ε₀ = 8.85 x 10^(-12) F/m),
A is the area of the plate in square meters, and
d is the distance between the plates in meters.
In this case, the distance between the plates d is given as 1.0 cm, which is equal to 0.01 m.
The area of the plates A is not provided in the question. Therefore, without this information, we cannot calculate the capacitance, and further calculations for the excess or deficit of electrons can't be determined. To obtain the area of the plates, we would need additional information from the problem statement.