I just need to work re-checked, current in solenoid

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Here's the problem I am solving:

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 31 A. Find the magnitude of the net magnetic field a radial distance of 0.91 cm from the straight wire.

What I did was:

B = square root (Bw² + Bs²)
= square root [(μoIw/2πr)² + (μonIs)²]
= μo x square root [(Iw²/4π²r²) + (n²Is²)]
= (4π x 10^-7 Tm/A) x square root[(31A²/4π²(0.0091m)²) + (22cm^-1)²(100cm/1m)²(0.50A)²]

Can I get a confirmation that the answer is 1.54 mT? Thanks.
 
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It looks like you set it up correctly. What did you get for the contribution of each component (wire and solenoid)?
 
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