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34 Ampere's law WALPAST II. The line integral of the magnetic field In each case below, a square loop is placed near one or more
34 Ampere's law WALPAST II. The line integral of the magnetic field In each case below, a square loop is placed near one or more wires, all carrying the same current I. Consider each line integral of the magnetic field using a counterclockwise path. of the loop. A. Case 1: A single wire with current out of the page passes through the center IO Find the sign of the line integral along each side: Top: Bottom: Left: Right : In the first column of the table below, indicate whether the line integral around the entire loop is positive, negative, or zero. B. Case 2: Two symmetrically placed wires, one with current into the page and O one with current out of the page, pass through the loop. Find the sign of the line integral along each side: Top: Bottom: Left: Right: In the first column of the table below, indicate whether the line integral around the entire loop is positive, negative, or zero. C. Case 3: A single wire with current out of the page is above the loop. Find the sign of the line integral along each side: cool Top: Bottom: Left: Right: Based on your answers above, do you have enough information to determine the sign of the line integral around the entire loop? Explain why or why not. D. Suppose you evaluated the line integral in a clockwise direction instead. In the second column of the table below, indicate the sign of the line integral around each loop in this case If you do not have enough information to fill in a box, leave it blank for now. Do not fill in the last two columns now; you will be asked to do so on the next page. J B . di, taken: Encircled current, with A: TR 9001 Counterclockwise Clockwise Into the page Out of the page Case 1: Case 2: Case 3
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