In the figure below, a magnetic field of 0.7 Tesla points into the page. A parti
ID: 2183421 • Letter: I
Question
In the figure below, a magnetic field of 0.7 Tesla points into the page. A particle of charge -28 nC and mass 0.3 ?g is shot into the field as shown in the figure with a velocity of 0.3 km/s. What is the radius of the orbit (in meters)? (The radius is a positive quantity.) Be careful with the powers of 10. Hint: k=kilo, m=milli, ?=micro, n=nano and the SI units for B-field, charge, mass, length and time are: tesla (T), coulomb (C), kilogram (kg), meter (m) and second (s), respectively.
In the figure below, a magnetic field of 0.7 Tesla points into the page. A particle of charge -28 nC and mass 0.3 ?g is shot into the field as shown in the figure with a velocity of 0.3 km/s. What is the radius of the orbit (in meters)? (The radius is a positive quantity.) Be careful with the powers of 10. Hint: k=kilo, m=milli, ?=micro, n=nano and the SI units for B-field, charge, mass, length and time are: tesla (T), coulomb (C), kilogram (kg), meter (m) and second (s), respectively.Explanation / Answer
a magnetic field of 0.5 Tesla points into the page. A particle of charge -25 nC and mass 0.1 μg is shot into the field as shown in the figure with a velocity of 0.5 km/s. What is the radius of the orbit (in meters)?
B = 0.5 'T
q = -25 * 10 ^ -9 'C
v = 500 'm/s
m = 1 * 10 ^ -10 'kg ==>0.1ug to kg
Fc = FL
m*v^2/r = q*vXB
Since there is no figure, let:
m*v^2/r = q*v*B
r = m * v / (|q| * B)
r = 4 m