How Do You Calculate Magnetic Field Near a Current-Carrying Wire and Solenoid?

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The discussion focuses on calculating the magnetic field near a current-carrying wire and a solenoid. The wire carries a current of 48 A, while the solenoid, with a diameter of 4.9 cm and a length of 55 cm, has 250 turns and carries a current of 5.0 A. The magnetic field at a distance of 1.3 cm from the wire is determined to be 0.196 mT, and the field at 3.4 cm is estimated similarly. The resultant magnetic field inside the solenoid is the vector sum of the fields from both the wire and the solenoid, which are perpendicular to each other.

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  • Understanding of Ampère's Law
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  • Familiarity with solenoid magnetic fields
  • Basic vector addition principles
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A straight wire carrying a current of 48 A lies along the axis of a 4.9 cm diameter solenoid. The solenoid is 55 cm long and has 250 turns carrying a current of 5.0 A.

1)What is the magnitude of the magnetic field 1.3 cm from the wire? (in mT)
2)Estimate the magnitude of the magnetic field 3.4 cm from the wire. (in mT)

I know that B of the wire is 0.196mT and the B of the solenoid is 1.570mT but I'm not sure where to go after this.

PLEASE HELP!
 
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Inside the solenoid, the field due to the solenoid and wire are perpendicular to each other. So the magnetic field is resultant of these two fields.
 

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