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fig 7 (FA-8) shows a solid cylindrical rod of radius 6.50 cm carrying a current

ID: 1500837 • Letter: F

Question

fig 7 (FA-8) shows a solid cylindrical rod of radius 6.50 cm carrying a current of 25.0 A into the page, concentric with a thick walled cylinder of inner radius b = 25.0, cm and outer radius = 28.0 cm, carrying a current of 15.0 A out of the page. What is the magnetic field (magnitude and direction) B(r = 21.0 cm), i.e., at 21.0 cm from the common axis. Give your answer in the form "a.bc x 10^(y)" T, "CW" for clockwise or "CCW" for counterclockwise. For example, if your answer is 15 mT, clockwise then input your answer as
d)Determine the magnetic field (magnitude and direction) B at 30.0 cm from the common center. Give your answer in the format that is indicated in problem #5a.
b)Determine the magnetic field (magnitude and direction) B at 1.5 cm from the common center. Use micro Tesla as the units for your answer and give your answer in the same format that you used in 5a.


25cm 13 em 5C

Explanation / Answer

magnetic field due to current carrying wire = k * I / r

magnetic field at 30 cm from the common center

magnetic field due to inside wire = 2 * 10^-7 * 25 / 0.30

magnetic field due to outside wire = 2 * 10^-7 * 15 / 0.30

since the direction of the current is opposite the magnetic field due to both the wires will be in opposite direction

so net magnetic field = 2 * 10^-7 * 25 / 0.30 - 2 * 10^-7 * 15 / 0.30

net magnetic field at 30 cm from the common center = 6.67 * 10^-6 T

net magnetic field at 1.5 cm from the common center = 0 T