The diagram given shows three charges are arranged at the
corners of a rectangle.
i. Determine the magnitude and direction of force experience by
-6.1 μC.
To determine the magnitude and direction of the force experienced by the -6.1 μC charge, we need to know the charges on the other two corners of the rectangle. Once we have that information, we can use Coulomb's Law to calculate the force.
Coulomb's Law states that the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Mathematically, it can be represented as:
F = k * (q1 * q2) / r^2
Where:
F is the magnitude of the force,
k is the electrostatic constant (9 x 10^9 Nm^2/C^2),
q1 and q2 are the magnitudes of the charges, and
r is the distance between the charges.
Let's say the other two charges are q3 and q4. Let's assume q3 is at the bottom left corner of the rectangle, and q4 is at the bottom right corner. We also need to know the distances between the charges.
Once we have all this information, we can plug the values into the equation and calculate the force vector.