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Magnetic field of a solenoid and a long straight wire

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3. The current in a solenoid with 22 turns per centimeter is 0.50 A. The solenoid has a radius of 1.5 cm. A long, straight wire runs along the axis of the solenoid, carrying a current of 23 A. Find the magnitude of the net magnetic field a radial distance of 0.69 cm from the straight wire.
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I don't understand how the solenoid and the straight wire would add together. I know that the magnetic field that they produce is additive though.

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The expert examines magnetic fields of a solenoid and a long straight wire.

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Please see the attached file.

The point in this question is that the magnetic field of the solenoid and the magnetic field of the straight wire have different directions.
Indeed, the magnetic field of the solenoid is directed along its axis, whereas the magnetic field of the straight wire is perpendicular to the wire and therefore to ...

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