AP Physics C Electricity and Magnetism Flashcards: Amperes Law

Study Amperes Law in AP Physics C Electricity and Magnetism with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

In Ampère's Law, what is the significance of the path of integration?

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ANSWER

It encloses the current for calculating the magnetic field. The path defines which currents contribute to the magnetic field.

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AP Physics C Electricity and Magnetism: Magnetic Fields and Electromagnetism

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This deck focuses on Amperes Law, giving you a quick way to review the definitions, rules, and examples that matter most for AP Physics C Electricity and Magnetism.

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A long air-core solenoid has turn density n=1200m1n=1200\,\text{m}^{-1} and carries a steady current I=0.80AI=0.80\,\text{A}. The solenoid length is much greater than its radius, so the magnetic field inside is approximately uniform and axial, and the magnetic field outside is approximately zero. Choose a rectangular Amperian loop with length \ell inside the solenoid parallel to the axis and the return path outside. According to Ampère's Law, Bd=μ0Ienc,\oint \vec B\cdot d\vec \ell=\mu_0 I_{\text{enc}}, with μ0=4π×107Tm/A\mu_0=4\pi\times10^{-7}\,\text{T}\cdot\text{m/A}. Using the symmetry assumptions, the integral reduces to BB\ell for the inside segment, and Ienc=(n)II_{\text{enc}}=(n\ell)I because nn\ell turns are enclosed. Ignore fringing and assume the current is steady. According to Ampère's Law, calculate the magnetic field inside the solenoid.
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