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11 Dec 2019
The two wires in Figure P19.40 carry currents of 3.00 A and 5.00 A in the direction indicated.
(a) Find the magnitude of the magnetic field at a point midway between the wires.
(b) Find the magnitude of the magnetic field at point P, located 20.0 cm above the wire carrying the 5.00-A current.
![](data:image/gif;base64,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)
The two wires in Figure P19.40 carry currents of 3.00 A and 5.00 A in the direction indicated.
(a) Find the magnitude of the magnetic field at a point midway between the wires.
(b) Find the magnitude of the magnetic field at point P, located 20.0 cm above the wire carrying the 5.00-A current.
VikasLv10
28 Jan 2021