THE PRACTICE STUDIO
Go slowly. Ask why. Make it yours.
PRACTICE / Coulomb law
Force between two tiny charges
Charges +2 μC and +3 μC are separated by 0.30 m in vacuum.
Find their force magnitude.
Organize the givens & assumptions
- q₁ = 2×10⁻⁶ C
- q₂ = 3×10⁻⁶ C
- r = 0.30 m
Point charges in vacuum; k = 9 × 10⁹ N·m²/C²; use centre-to-centre separation.
Study with a tutor prompt
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Problem: Force between two tiny charges Charges +2 μC and +3 μC are separated by 0.30 m in vacuum. Question: Find their force magnitude. Givens: - q₁ = 2×10⁻⁶ C - q₂ = 3×10⁻⁶ C - r = 0.30 m Assumptions: Point charges in vacuum; k = 9 × 10⁹ N·m²/C²; use centre-to-centre separation. Choices (LaTeX): A. 0.60\ \mathrm N B. 0.18\ \mathrm N C. 6\ \mathrm N D. 0.054\ \mathrm N Ask for my approach first. Help me distinguish a physical misconception from an algebra error without revealing which choice is correct. Tutoring approach: Act as a patient physics tutor. Ask what I understand and what I have tried, then wait for my reply. Teach one step at a time; do not give the final answer or a complete solution immediately. Start with a physical picture. Define unfamiliar symbols and operators, explain signs and units, and state the model's assumptions. Give progressively stronger hints only when I need them. Ask me to predict a change before calculating it. When I finish, help me check dimensions and a limiting case, then ask one related transfer question. If information is missing or ambiguous, ask rather than inventing it. Distinguish exact results from approximations and acknowledge uncertainty.
Start with the smallest hint.
Work through it with me.
One decision at a time. Pause, predict, then unpack the algebra.
Convert microcoulombs before multiplying the charges, and square the separation.
Choose a physical relation
Coulomb's force magnitude depends on both charge magnitudes and the inverse square of their separation.
Isolate what is asked
Convert microcoulombs before multiplying the charges, and square the separation.
Why is this step valid?
Convert microcoulombs to coulombs before multiplying, and square the distance in metres.
Substitute and interpret
The magnitude is 0.60 N; the like-sign charges repel along their joining line.
Force per test charge agrees with the field produced by the first charge.
TRY THE IDEA AGAIN
Reverse one charge's sign at fixed magnitudes. What changes?
YOUR LEARNING NOTE
How does this idea feel now?
Confidence is a reflection, not proof of mastery.
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