Coulomb's Law (Electric Force) Video Lessons

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Problem: A charge 5.02 nC is placed at the origin of an xy-coordinate system, and a charge -2.05 nC is placed on the positive x-axis at x = 4.00cm. A third particle, of charge 6.03 nC is now placed at the point x = 4.00 cm , y = 3.02 cm .1. Find the x-component of the total force exerted on the third charge by the other two.2. Find the y-component of the total force exerted on the third charge by the other two.3. Find the magnitude of the total force acting on the third charge.4. Find the direction of the total force acting on the third charge. ( radians between F?  and +x-axis )

FREE Expert Solution

Force due to point charges is given by Coulomb's law:

F=kq1q1r2

2D vector magnitude:

|A|=Ax2+Ay2

2D vector direction:

tanθ=AyAx

Resolving a vector into its components:

Ax=|A| cos θAy=|A| sin θ

(1)

r132 = (0.042 + 0.3022)

q1 = 5.02 nC (10-9C/1nC) = 5.02 × 10-9 C

q3 = 6.03 nC (10-9C/1nC) = 6.03 × 10-9 C

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Problem Details

A charge 5.02 nC is placed at the origin of an xy-coordinate system, and a charge -2.05 nC is placed on the positive x-axis at x = 4.00cm. A third particle, of charge 6.03 nC is now placed at the point x = 4.00 cm , y = 3.02 cm .

1. Find the x-component of the total force exerted on the third charge by the other two.

2. Find the y-component of the total force exerted on the third charge by the other two.

3. Find the magnitude of the total force acting on the third charge.

4. Find the direction of the total force acting on the third charge. ( radians between F?  and +x-axis )

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