The electric field at the surface of a uniformly charged sphere of radius 6.0cm is 90 kN/c .
Enough with your name changes.
Use Gauss' Law
To calculate the electric field at the surface of a uniformly charged sphere, you can use the following formula:
E = k * Q / r^2
Where:
- E is the electric field
- k is the electrostatic constant, approximately equal to 9.0 x 10^9 N m^2/C^2
- Q is the charge of the sphere
- r is the radius of the sphere
In this case, you are given the electric field (E) as 90 kN/C (kilonewtons per coulomb) and the radius (r) as 6.0 cm.
Firstly, let's convert the radius from centimeters to meters:
r = 6.0 cm = 0.06 m
Now, we can rearrange the formula to solve for the charge (Q):
Q = (E * r^2) / k
Substituting the given values:
Q = (90 kN/C * (0.06 m)^2) / (9.0 x 10^9 N m^2/C^2)
Simplifying the equation:
Q = (90 x 10^3 N m/C * 0.0036 m^2) / (9.0 x 10^9 N m^2/C^2)
Q = 0.324 x 10^-3 C
Q = 3.24 x 10^-4 C
Therefore, the charge of the sphere is approximately 3.24 x 10^-4 C.