If a = 3.0 mm, b = 4.0 mm, Q1 = 60 nC, Q2 = 80 nC, and q = 32 nC in the figure, what is the magnitude of the electric force on q?

Enter answer in (N)

Question

If a = 3.0 mm, b = 4.0 mm, Q1 = 60 nC, Q2 = 80 nC, and q = 32 nC in the figure, what is the magnitude of the electric force on q?

Enter answer in (N)

BlackTom AI · Accepted Answer

We are asked to find the magnitude of the electric force on q given a = 3.0 mm, b = 4.0 mm, Q1 = 60 nC, Q2 = 80 nC, and q = 32 nC, with reference to a figure. However, the prompt does not provide the essential geometric information needed to compute the force: the exact positions of Q1 and Q2 relative to q (their distances from q to each charge and the angles involved).

Key concepts to apply when that information is available:
- Coulomb's Law: F = k |Q q| / r^2, where k ≈ 8.988×10^9 N·m^2/C^2 and r is the separation between the interacting charges.
- Superposition principle: the total force on q due to multiple charges is the vector sum of the individual forces from each charge.

What is needed from the figure to proceed:
- The distance from q to Q1 (let’s call this r1).
- The distance from q to Q2 (let’s call this r2).
- The direction from q toward each charge so we can add the force vectors correctly (i.e., whether the interaction is attractive or repulsive depending on the signs of Q1, Q2, and q, and the relative geometry).
- It would also help to know the orientation of a and b relative to q (e.g., are a and b the separations along a straight line from q to the charges, or are they perpendicular offsets, etc.).

Without r1 and r2 (and the angular geometry), we cannot compute a numeric magnitude for the net force on q. If you can provide the diagram details or the coordinates positions of Q1 and Q2 and q, we can set up the vectors:
- Compute F1 = k |Q1 q| / r1^2 in the direction from q toward Q1 if the charges repel (like charges), or away from Q1 if the interaction is attractive (opposite signs).
- Compute F2 = k |Q2 q| / r2^2 in the direction from q toward Q2 if the interaction is repulsive, or away from Q2 if attractive.
- Then sum F1 and F2 vectorially to obtain the net force on q, and take its magnitude.

If you can share the exact distances r1 and r2 (or coordinates of Q1 and Q2 relative to q) and the signs of the charges, I can compute the numerical value for the net force in Newtons and show the full step-by-step calculation.

PHYS-222-30000 Chapter 19 - Electric Forces and Electric Field Test

If a = 3.0 mm, b = 4.0 mm, Q1 = 60 nC, Q2 = 80 nC, and q = 32 nC in the figure, what is the magnitude of the electric force on q? Enter answer in (N)

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