Please Explain why each is true, false, or can\'t be determined Two charged part

Question

Please Explain why each is true, false, or can't be determined

Two charged particles, A and B, are fixed in place. A third charge, C, is fixed in place to the right of charge B at twice the distance between A and B. There is no net force on charge C due to charges A and B. Indicate whether each of the following statements is true, false, or cannot be determined Cannot be Statement True False Determined 1. Charge A has a greater magnitude than charge C. 2. Charge A has a greater magnitude than charge B. 3. Charge C has a greater magnitude than charge B. 4. Charge A has the same magnitude as charge C. 5. Charge A has the same magnitude as charge B. 6. Charge C has the same magnitude as charge B.

Explanation / Answer

The force on charge C is zero. This means the electric field is zero at the point where the charge C is located. The electric field is zero irrespective of what the charge of the C is. Since the point, C is farther away from A than from B and the electric field is inversely proportional to distance, the charge A is greater in magnitude than charge B. And charge C cannot be determined.

Using this we can answer the questions below.

1) Charge A has a greater magnitude than charge C - Cannot be determined

2) A has a greater magnitude than B. - True

3) C has a greater magnitude than B - Cannot be determined

4) A has the same magnitude than C - Cannot be determined

5) A has the same magnitude as B. - False

6) Charge C has the same magnitude as B. - Cannot be determined

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