A small glass bead that has been charged to 4.4 nC? What is the strength of the electric field 2.0 cm from the center of the bead?
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22.2
To calculate the strength of the electric field at a certain distance from a charged object, we can use Coulomb's Law. Coulomb's Law states that the electric field strength (E) is directly proportional to the charge (Q) and inversely proportional to the square of the distance (r) from the center of the charged object.
The formula for the electric field strength is:
E = k * (Q / r^2)
Where:
E is the electric field strength,
k is the electrostatic constant (8.99 x 10^9 N m^2/C^2),
Q is the charge of the object,
r is the distance from the center of the object.
In this case, the charge of the glass bead is given as 4.4 nC (nanocoulombs), and the distance from the center of the bead is 2.0 cm (0.02 m).
Let's plug the values into the formula to calculate the electric field strength:
E = (8.99 x 10^9 N m^2/C^2) * (4.4 x 10^-9 C) / (0.02 m)^2
E = (8.99 x 10^9) * (4.4 x 10^-9) / (0.02)^2
E = 3.94 x 10^6 N/C
So, the strength of the electric field 2.0 cm from the center of the bead is 3.94 x 10^6 N/C.