In the figure below, a long circular pipe with outside radius R=2.18 cm carries a (uniformly distributed) current i = 11.2 mA into the page. A wire runs parallel to the pipe at a distance of 3.00R from center to center. Find the (a) magnitude and (b) direction (into or out of the page) of the current in the wire such that the ratio of the magnitude of the net magnetic field at point P to the magnitude of the net magnetic field at the center of the pipe is 0.673, but it has the opposite direction. Wire O (a) Number (b) O Units $0 Pipe
In the figure below, a long circular pipe with outside radius R=2.18 cm carries a (uniformly distributed) current i = 11.2 mA into the page. A wire runs parallel to the pipe at a distance of 3.00R from center to center. Find the (a) magnitude and (b) direction (into or out of the page) of the current in the wire such that the ratio of the magnitude of the net magnetic field at point P to the magnitude of the net magnetic field at the center of the pipe is 0.673, but it has the opposite direction. Wire O (a) Number (b) O Units $0 Pipe
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Step 1: Define Ampere's law:
VIEWStep 2: Find the expression for the magnetic field due to pipe at point P.
VIEWStep 3: Find the net magnetic field at point P:
VIEWStep 4: Find the net magnetic field at the center of the pipe:
VIEWStep 5: Find the required ratio:
VIEWStep 6: Find the value of current:
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