A current distribution (not shown) creates the spatially varying magnetic field
ID: 1430652 • Letter: A
Question
A current distribution (not shown) creates the spatially varying magnetic field shown at right. In region I the magnetic field increases in magnitude toward the bottom of the page. In region II the magnetic field is uniform, and in region III the magnetic field is zero. Consider loop a (in region I). Draw and label an area vector for loop a on the diagram. Which direction should you integrate around the loop? Explain. Is the line integral of the magnetic field around loop a positive, negative, or zero? Explain. Which direction is net current passing through the loop? Use Ampere s law to explain your answer. If no current passes through the loop, state so explicitly.Explanation / Answer
(3) if a conductor carrying current is outside the ciosed path the line integral of B due to that conduct is zero
(4) ampere circuital law is always true no matter how distorted the path (or) how complicated the magnetic field is in most cases even though ampere's circuital law is ture it is inconvenient because it is impossible to perform the path intergal however in few special symmetric cases it is easy to perform path intergral using ampere's law
the line intergal does not depends on the shape of the closed path (or) on the position of current carrying wire in the loop
the current is net =0
((2)) magnetic field due to a current carrying conductor is independent of frame of reference
(1) Bnet =0 for closed loop
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