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e. Draw the Amperian loop that will allow you to find the magnetic field at a point P inside the cylinder (r < b). f. Write the integral $B ds = $ B cos o ds in terms of the unknown B and the givens r and/or b. Your answer should look familiar. g. What is the current Ithru going through your Amperian loop? Hint: the current is spread out evenly over the cross-sectional area of the wire so set up a ratio of areas. Check that your expression for Ithrough has the dimensions of current. h. Use (f) and (g) to determine the magnetic field for r < b, i.e., inside the cylinder. i. Make a graph of the magnitude of the magnetic field versus distance r from the central axis

e. Draw the Amperian loop that will allow you to find the magnetic field at a point P inside the cylinder (r < b). f. Write the integral $B ds = $ B cos o ds in terms of the unknown B and the givens r and/or b. Your answer should look familiar. g. What is the current Ithru going through your Amperian loop? Hint: the current is spread out evenly over the cross-sectional area of the wire so set up a ratio of areas. Check that your expression for Ithrough has the dimensions of current. h. Use (f) and (g) to determine the magnetic field for r < b, i.e., inside the cylinder. i. Make a graph of the magnitude of the magnetic field versus distance r from the central axis

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e. Draw the Amperian loop that will allow you to find the magnetic field at a point P inside the cylinder (r < b). f. Write the integral B ds = $ B cos o ds in terms of the unknown B and the givens 7 and/or b. Your answer should look familiar. g. i. What is the current Ithru going through your Amperian loop? Hint: the current is spread out evenly over the cross-sectional area of the wire so set up a ratio of areas. Check that your expression for Ithrough has the dimensions of current. h. Use (f) and (g) to determine the magnetic field for r <b, i.e., inside the cylinder. Make a graph of the magnitude of the magnetic field versus distance r from the central axis B Hol 2лb Hol 4πb 0 0 b 2b r 3b 4b 5b
Transcribed Image Text:e. Draw the Amperian loop that will allow you to find the magnetic field at a point P inside the cylinder (r < b). f. Write the integral B ds = $ B cos o ds in terms of the unknown B and the givens 7 and/or b. Your answer should look familiar. g. i. What is the current Ithru going through your Amperian loop? Hint: the current is spread out evenly over the cross-sectional area of the wire so set up a ratio of areas. Check that your expression for Ithrough has the dimensions of current. h. Use (f) and (g) to determine the magnetic field for r <b, i.e., inside the cylinder. Make a graph of the magnitude of the magnetic field versus distance r from the central axis B Hol 2лb Hol 4πb 0 0 b 2b r 3b 4b 5b
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