6.At what distance from a positive charge of 8.421 mC would the electric field strength be 3.91 x 103 N/C
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Concept:
- Electric field strength
- An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity.
- Additionally, it refers to a system of charged particles' physical fields.
Given:
- Charge q = 8.421 mC = 8.421 * 10^-3 C
- Electric field strength E = 3.91 x 10^3 N/C
Find:
- The distance from the positive charge of 8.421 * 10^-3 C where the electric field strength is 3.91 x 10^3 N/C
Solution:
We know that the electric field is
E = kQ/r^2
E = K * 8.421 * 10^-3 C /r^2
r^2 = K * 8.421 * 10^-3 C/ E
r^2 = K * 8.421 * 10^-3 C/ 3.91 x 10^3 N/C
K = 9*10^9
r^2 = 9*10^9 * 8.421 * 10^-3 C/ 3.91 x 10^3 N/C
r^2 = 19.38 * 10^3
r = 1.39 m
The distance is 1.39 m
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