Choose the correct option for these two statement given:
(A) The force with which two charges interact is not changed by the presence of the other charges.
(B) Electric force experienced by the charged particle due to no. of fixed point charges is vector resultant of forces experiences due to individual charges.

Options

A. A & B both are correct
B. Ony A is correct
C. Only B is correct
D. A & B both are wrong

Explanation

To solve the question, we need to analyze the two statements provided:

**Statement (A):** The force with which two charges interact is not changed by the presence of other charges.

1. **Understanding the Interaction of Charges:**
- According to Coulomb's Law, the force \( F \) between two point charges \( q_1 \) and \( q_2 \) is given by:
\[ F = k \frac{|q_1 q_2|}{r^2} \]
where \( k \) is Coulomb's constant and \( r \) is the distance between the charges.
- This equation shows that the force depends only on the magnitudes of the charges and the distance between them.

2. **Influence of Other Charges:**
- The presence of other charges does not affect the force between \( q_1 \) and \( q_2 \) directly. The force remains the same as long as the distance \( r \) between \( q_1 \) and \( q_2 \) remains unchanged.
- Thus, Statement (A) is **true**.

**Statement (B):** Electric force experienced by the charged particle due to a number of fixed point charges is the vector resultant of forces experienced due to individual charges.

1. **Understanding Vector Forces:**
- When multiple charges exert forces on a single charge, the net force is the vector sum of the individual forces exerted by each charge.
- For example, if a charge \( q_4 \) is influenced by charges \( q_1, q_2, \) and \( q_3 \), the forces \( \vec{F_1}, \vec{F_2}, \) and \( \vec{F_3} \) can be represented as vectors.
- The net force \( \vec{F_{net}} \) on \( q_4 \) can be calculated as:
\[ \vec{F_{net}} = \vec{F_1} + \vec{F_2} + \vec{F_3} \]
- Therefore, Statement (B) is also **true**.

**Conclusion:**
Both statements (A) and (B) are correct. Thus, the correct option is that both statements are true.