To calculate the resultant force at Q3, we need to calculate the forces between each pair of charges (Q1 and Q3, and Q2 and Q3) and add them vectorially.
First, let's calculate the force between Q1 and Q3.
Using Coulomb's Law, the formula to calculate the force between two charges is:
F = (k * |Q1| * |Q3|) / (distance^2)
Where:
- F is the force between the charges,
- k is the electrostatic constant (8.99 x 10^9 Nm^2/C^2),
- |Q1| and |Q3| are the magnitudes of the charges,
- distance is the distance between the charges.
Substituting in the values:
F1 = (8.99 x 10^9 Nm^2/C^2) * (16 μC) * (8 μC) / (0.6m)^2
Calculating this gives us F1 = 5.1584 N (taking the magnitudes of the charges into account).
Now, let's calculate the force between Q2 and Q3.
Using the same formula:
F2 = (8.99 x 10^9 Nm^2/C^2) * (6 μC) * (8 μC) / (0.3m)^2
Calculating this gives us F2 = 17.9584 N (taking the magnitudes of the charges into account).
Finally, we can calculate the resultant force at Q3 by adding the forces vectorially.
Resultant force F = F1 + F2
F = 5.1584 N + 17.9584 N
F = 23.1168 N
So, the resultant force at Q3 is 23.1168 N.
Calculate the resultant force at Q3
IF
Q1=-16 μC
distances from Q1 to Q2 is =0.6m
Q2=6 μC
distances from Q2 to Q3 is =0.3m
Q3=-8 μC
In simple steps
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1 answer