Answer :
Answer:
Explanation:
a) To find the resultant electrostatic force on Q2, we need to calculate the individual forces between Q2 and Q1, as well as between Q2 and Q3, and then add them together.
Using Coulomb's Law, the formula for the electrostatic force (F) between two charges is given by:
F = (k * |Q1 * Q2|) / r^2
Where k is the electrostatic constant (k ≈ 9 × 10^9 N m^2/C^2), Q1 and Q2 are the charges, and r is the distance between the charges.
First, let's calculate the force between Q2 and Q1:
F1 = (k * |Q1 * Q2|) / r^2 = (9 × 10^9 * |2C * 4C|) / (0.3m)^2
Next, let's calculate the force between Q2 and Q3:
F2 = (k * |Q2 * Q3|) / r^2 = (9 × 10^9 * |4C * (-5C)|) / (0.6m)^2
Now, the resultant electrostatic force on Q2 is the sum of these two forces:
Resultant force on Q2 = F1 + F2
b) To find the resultant electrostatic force on Q1, we need to calculate the force between Q1 and Q2, and then subtract it from the force between Q1 and Q3.
Using Coulomb's Law, the formula for the electrostatic force (F) between two charges is the same as mentioned above.
First, let's calculate the force between Q1 and Q2:
F1 = (k * |Q1 * Q2|) / r^2 = (9 × 10^9 * |2C * 4C|) / (0.3m)^2
Next, let's calculate the force between Q1 and Q3:
F2 = (k * |Q1 * Q3|) / r^2 = (9 × 10^9 * |2C * (-5C)|) / (0.5m)^2
Now, the resultant electrostatic force on Q1 is the difference between these two forces:
Resultant force on Q1 = F2 - F1
It's important to note that the direction of the forces should also be considered when calculating the resultant force using vector addition or subtraction.
