A certain solenoid consists of 100 turns of wire and has a length of 10.0 cm as shown in the figure to the right. (a) Find the magnetic field inside the solenoid when it carries a current of 0.500 A. (b) Assume that the field just outside the solenoid has one half the value from part (a), at the point labeled N in the figure to the right. Find the magnitude of the magnetic force acting on a proton that is moving from bottom to top in the figure, through point N, at 375 m/s. (c) What is the direction of the force acting on the proton? L
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Number of turns, $N = 100$ Length of the solenoid, $L = 10.0 \text{ cm} = 0.100 \text{ m}$ Current, $I = 0.500 \text{ A}$ Permeability of free space, $\mu_0 = 4\pi \times 10^{-7} \text{ T}\cdot\text{m/A}$ Show more…
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Example 7: The magnetic field inside a solenoid A certain solenoid of 100 turns of wire has a length of 10.0 cm. a) Find the magnitude of the magnetic field inside the solenoid when it carries a current of 0.500 A. (Solution: B = 6.28 x 10^-4 T) b) What is the momentum of a proton orbiting inside the solenoid in a circle with a radius of 0.020 m? The axis of the solenoid is perpendicular to the plane of the orbit. (Solution: p = 2.01 x 10^-24 kgm/s) c) Approximately how much wire would be needed to build this solenoid? Assume solenoid's radius of 5.00 cm. (Solution: 31.4 m)
Adi S.
A solenoid is 40 cm long, has a diameter of 3.0 cm, and is wound with 500 turns. If the current through the windings is 4.0 A, what is the magnetic field at a point on the axis of the solenoid that is (a) at the center of the solenoid, (b) $10.0 \mathrm{cm}$ from one end of the solenoid, and $(\mathrm{c})$ $5.0 \mathrm{cm}$ from one end of the solenoid? (d) Compare these answers with the infinite-solenoid case.
3) A certain solenoid consists of 100 turns of wire and has a length of 10 cm. (a) Find the magnitude of the magnetic field inside the solenoid when it carries a current of 0.5 A. (b) What is the momentum of a proton orbiting inside the solenoid in a circle with a radius of 0.02 m? The axis of the solenoid is perpendicular to the plane of the orbit.
Abid H.
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