A long, straight wire carrying a current of (2.5 mathrm{~A}) to the left is placed directly below

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A long, straight wire carrying a current of \(2.5 \mathrm{~A}\) to the left is placed directly below and parallel to the central axis of a solenoid that has 1000 windings per meter of length and a current of \(45 \mathrm{~mA}\). Calculate the magnitude and direction of the magnetic field at the center of the solenoid if the wire is \(50 \mathrm{~mm}\) away from the solenoid center. Does it matter whether the wire is inside or outside the solenoid coils?

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