magnetic rield is continuous at the surrace or the Wire MASTER IT HINTS: GETTING

Question

magnetic rield is continuous at the surrace or the Wire MASTER IT HINTS: GETTING STARTED I IM STUCK A long, straight wire lies on a horizontal table and carries a current of 1.05 A. In a vacuum, a proton moves above and parallel to the wire (opposite the current) with a constant speed of 2.60 x 104 m/s at a distance d from the center of the wire. Determine the value of d. Ignore the magnetic field due to the Earth. (The mass of proton is 1.67 x 10-27 kg, and the charge of proton is 1.6 x 10-19 C.)

Explanation / Answer

Here ,

for the distance

magnetic field due to a wire is given as

B = u0 * I/(2pi * d)

for the proton to move with constant speed

m * g = B * v * q

1.67 *10^-27 * 9.8 = 4pi *10^-7 * 1.05 * 10^-6/(2pi * d) * 2.60 *10^4 * 1.6 *10^-19

solving for d

d = 0.0533 m

the distance d is 0.0533 m

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