Question

Consider a uniform magnetic field of magnitude 0.2 T which is directed along the positive x-axis direction. A positron, which was accelerated by a potential difference of 1 kV, enters this region of the magnetic field with a velocity v which makes an angle of 85° with the x-axis. For this case in which the path that the positron describes is helical, as shown in the figure, determine: a) The radius r of the helical path. b) The pitch p of the helical path.

          Consider a uniform magnetic field of magnitude 0.2 T which is directed along the positive x-axis direction. A positron, which was accelerated by a potential difference of 1 kV, enters this region of the magnetic field with a velocity v which makes an angle of 85° with the x-axis. For this case in which the path that the positron describes is helical, as shown in the figure, determine:
a) The radius r of the helical path.
b) The pitch p of the helical path.

Consider a uniform magnetic field of magnitude 0.2 T which is directed along the positive x-axis direction. A positron, which was accelerated by a potential difference of 1 kV, enters this region of the magnetic field with a velocity v which makes an angle of 85° with the x-axis. For this case in which the path that the positron describes is helical, as shown in the figure, determine:
a) The radius r of the helical path.
b) The pitch p of the helical path.

Added by Diane I.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Khoobchandra Agrawal

05/06/2022

Step 1

Given: Charge on positron, q = 1.6 x 10^-19 C Accelerating potential, V = 1000 V Mass of positron, m = 9.1 x 10^-31 kg The energy gain by accelerating potential is equal to kinetic energy: qV = (1/2)mv^2 1.6 x 10^-19 * 1000 = (1/2) * 9.1 x 10^-31 * v^2 v = √(2 * Show more…

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Consider a uniform magnetic field of magnitude 0.2 T which is directed along the positive x-axis direction. A positron, which was accelerated by a potential difference of 1 kV, enters this region of the magnetic field with a velocity v which makes an angle of 85° with the x-axis. For this case in which the path that the positron describes is helical, as shown in the figure, determine: a) The radius r of the helical path. b) The pitch p of the helical path.