A long wire carries a current of 3.0A along the central axis of a long solenoid (radius=3.0cm, n=900 turns per meter, current=30.0mA). What is the magnitude of the magnetic field at a point 2.0cm from the axis of the solenoid (neglecting any end effects)?

B = 63.93 μT

Explanation:

Current carried by the wire, I₁ = 3.0 A

Number of turns, n = 900 turns/ meter

Radius of the solenoid, R = 3 cm = 0.03 m

r = 2 cm = 0.02 m

Current due to the solenoid, I₂ = 30 mA = 0.03 A

The magnetic field is due to the current carrying conductor and the solenoid

Magnetic field due to the current carrying conductor:

Magnetic field due to the solenoid:

Add B₁ and B₂ together

B = B₁ and B₂

all of the answers are correct.

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explanation:

if they have a finite resultant