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# Magnetic field due to two current carrying concentric loops

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Two concentric circular loops each have currents of 2.5 x 10^-3 amperes with radii of 10 cm and 4 cm. The currents travel in opposite directions for each loop. How would you calculate and draw the magnetic field at the common center, and in what direction would the field be pointing in?

https://brainmass.com/physics/electric-magnetic-fields/magnetic-field-due-two-current-carrying-concentric-loops-127829

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This solution is about finding the magnetic field due to two concentric current carrying circular loops. I have provided step by step procedure to determine the final answer.

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## Magnetic Field Due to a Current Carrying Conductor

1. A long hollow, cylindrical conductor (inner radius 2.4 mm, outer radius 4.1mm) carries a current of 49 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 36A in the opposite direction. What is the magnitude of the magnetic field (in mT) (a) 1.3mm (b) 2.5mm (c) 4.9 mm from the central axis of the wire and cylinder?

2. A long straight wire carries a current of 69.6A. An electron, traveling at 8.61 x 10^7 m/s, is 5.14 cm from the wire. What is the magnitude of the magnetic force on the electron if the electron velocity is directed (a) toward the wire, (B) parallel to the wire in the direction of the current, and (c) perpendicular to the two directions defined by (a) and (b)?

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