A loop is tilted in the field

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Problem: A loop is tilted in the field
A uniform 0.20 T field passes through a 0.030 m² loop. The field makes 60° with the loop’s positive area normal.
Question: Find the magnetic flux through the loop.
Givens:
- B = 0.20 T
- A = 0.030 m²
- θnormal = 60°
Assumptions: Flat loop in a uniform field; angle measured from the positive area normal; signed magnetic flux.
Choices (LaTeX):
A. 0\ \mathrm{Wb}
B. 0.003\ \mathrm{Wb}
C. 0.006\ \mathrm{Wb}
D. 0.003\sqrt3\ \mathrm{Wb}

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.