A singly charged ion (q= 1.6 × 10-19 C, mass m = 2.2 x 10-27 kg) moving with speed v6.5 x 106 m/s enters a region of a uniform magnetic field B = 0.040 T. Its path of travel is shown in the figure below. A) Determine the magnetic force (magnitude and direction) acting on the ion at the instant of time when it enters the magnetic field. B) Calculate the radius of the semicircular path of the ion. Show calculations (derive the formula for the radius). x x X x X X X X X X

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A singly charged ion (q = 1.6 × 10-¹⁹ C, mass m = 2.2 x 10-27 kg) moving with
speed v = 6.5 x 106 m/s enters a region of a uniform magnetic field B = 0.040 T.
Its path of travel is shown in the figure below.
A) Determine the magnetic force (magnitude and direction) acting on the ion at
the instant of time when it enters the magnetic field.
B) Calculate the radius of the semicircular path of the ion. Show calculations
(derive the formula for the radius).
x
x
X
X
x
x
x
x
х х х
X
XXX
X
x
X X
X X
Transcribed Image Text:A singly charged ion (q = 1.6 × 10-¹⁹ C, mass m = 2.2 x 10-27 kg) moving with speed v = 6.5 x 106 m/s enters a region of a uniform magnetic field B = 0.040 T. Its path of travel is shown in the figure below. A) Determine the magnetic force (magnitude and direction) acting on the ion at the instant of time when it enters the magnetic field. B) Calculate the radius of the semicircular path of the ion. Show calculations (derive the formula for the radius). x x X X x x x x х х х X XXX X x X X X X
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