Question

Which of the following statements are true consequences of the Principle of Superposition?

(i) The net electric force on a charge, q0​​, due to other nearby charges is the vector sum of the individual electric forces on that charge.

(ii) The individual forces on a charge, q​0​​, can be summed by vector addition in any sequential order to find the net force on charge q​0​​.

(iii) A charge, q​0​​, placed at the exact midpoint between two identical charges will experience zero net force due to those charges.

(iv) The net force on a charge, q​0​​ due to other nearby charges is exactly equal to the force on charge q0​​due to the charge nearest to it, and is not affected at all by any of other charges nearby.

a. Only (i) and (ii) are true

b. Only (ii) and (iii) are true

c. Only (ii), (iii), and (iv) are true

d.Only (i), (ii), and (iii) are true

e. All four statements are true

f. Only (iii) and (iv) are true

Answer 1

The right answer is d.Only (i), (ii), and (iii) are true

Step-by-step explanation:

"(i) The net electric force on a charge, q0​​, due to other nearby charges is the vector sum of the individual electric forces on that charge". This is True. You obtain the net force on a charge q₀ by vectorial summing each force generated for the interaction with each charge in the system that interacts with q₀.

"(ii) The individual forces on a charge, q​0​​, can be summed by vector addition in any sequential order to find the net force on charge q​0​​". This is True. The order in the vector sum doesn´t affect the result (vectorial commutative property).

"(iii) A charge, q​0​​, placed at the exact midpoint between two identical charges will experience zero net force due to those charges". This is true. If the other two charges are identical, and q₀ is placed between these charges, the force that each of them makes over q₀ would be equal in module and opposite in sign. Therefore the net force, the sum of these two forces, would be null.

"(iv) The net force on a charge, q​0​​ due to other nearby charges is exactly equal to the force on charge q0​​due to the charge nearest to it, and is not affected at all by any of other charges nearby". This is false. this contradicts the point (i).