Calculating Distance from a Charged Particle using Electric Field Strength

AI Thread Summary
To calculate the distance from a charged particle with a charge of -5.00 µC to a point where the electric field strength is 7.2 x 10^7 N/C, the formula E = kq / r^2 is used. By rearranging this equation, the distance r can be determined using the values for k (8.99 x 10^9 Nm^2/C^2), q, and E. The calculation yields a distance of approximately 0.025 m. This method effectively illustrates the relationship between electric field strength and distance from a charged particle. The result confirms the accuracy of the application of the formula in this context.
Kennedy111
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Homework Statement


A particle has a charge of -5.00 \muC. At a point near this particle, the electric field strength is 7.2 x 10^7 N/C. Determine the distance from this point to the charged particle.

q = -5.00 x 10^-6 C
E = 7.2 x 10^7 N/C
k = 8.99 x 10^9 Nm^2/C^2

Homework Equations


E = kq / r^2


The Attempt at a Solution



r = (sqrt) (8.99 x 10^9 Nm^2/C^2)(5.00 x 10^-6) / (7.2 x 10^7 N/C)
= 0.0249861073 m
 
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