A wire (Wire A) carries current out of the page, as shown. The wire consists of two different materials. The inner core of the wire (shown in blue) has a radius of 5 cm and a varying current density that can be modeled by the equation J(r)=4120 r^2. The outer shell of the wire (shown in purple) has an outer radius of 10 cm and carries a current of 60 mA that is uniformly distributed through the cross-section of the purple shell. Express your answers in terms of μ 0, as appropriate. a) Determine the magnitude and direction of the magnetic field as a function of r when r < 5 cm. b) Determine the magnitude and direction of the magnetic field as a function of r when 5 cm < r < 10 cm. c) Determine the magnitude and direction of the magnetic field as a function of r when r > 10 cm. d) Wire B is located 70 cm to the right of Wire A. Determine the magnitude and direction of the current in Wire B that will result in no magnetic field at point P, located 20 cm away from Wire B.
A wire (Wire A) carries current out of the page, as shown. The wire consists of two different materials. The inner core of the wire (shown in blue) has a radius of 5 cm and a varying current density that can be modeled by the equation J(r)=4120 r^2. The outer shell of the wire (shown in purple) has an outer radius of 10 cm and carries a current of 60 mA that is uniformly distributed through the cross-section of the purple shell.
Express your answers in terms of μ 0, as appropriate.
a) Determine the magnitude and direction of the magnetic field as a function of r when r < 5 cm.
b) Determine the magnitude and direction of the magnetic field as a function of r when 5 cm < r < 10 cm.
c) Determine the magnitude and direction of the magnetic field as a function of r when r > 10 cm.
d) Wire B is located 70 cm to the right of Wire A. Determine the magnitude and direction of the current in Wire B that will result in no magnetic field at point P, located 20 cm away from Wire B.
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