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Three point charges are arranged in a horizontal line as shown below. Find the e

ID: 2000430 • Letter: T

Question

Three point charges are arranged in a horizontal line as shown below. Find the electric forces (in units of kQ2/R2) on the charges given the following: Q1 = -18 Q, Q2 = -27 Q, Q3 = 108 Q, r1 = 3 R, and r2 = 3 R. Remember that a positive force points to the right and a negative force points to the left.

What is the force on charge Q1 due to Q2?

____ kQ2/R2

What is the force on charge Q1 due to Q3?

_____kQ2/R2

What is the force on charge Q2 due to Q3?

_____kQ2/R2

What is the force on charge Q2 due to Q1?

_____kQ2/R2

What is the force on charge Q3 due to Q1?

______kQ2/R2

What is the force on charge Q3 due to Q2?

______kQ2/R2

What is the net force on charge Q1?

_____kQ2/R2

What is the net force on charge Q2?

______kQ2/R2

What is the net force on charge Q3?

_____kQ2/R2

What is the sum of the forces on all three charges?

_____kQ2/R2

Explanation / Answer

1) The force on charge Q1 due to Q2 = -54 kQ2/R2

2) The force on charge Q1 due to Q3 = 54 kQ2/R2

3) The force on charge Q2 due to Q3 = 324 kQ2/R2

4) The force on charge Q2 due to Q1 = 54 kQ2/R2

5) The force on charge Q3 due to Q1 = -54 kQ2/R2

6) The force on charge Q3 due to Q2 = -324 kQ2/R2

7)  The net force on charge Q1 = 0

8) The net force on charge Q2 = 378 kQ2/R2

9)  The net force on charge Q3 = -378 kQ2/R2

10) The sum of the forces on all three charges =0

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