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Consider the molecule C6H12 which is ionized by removing one electron and accele

ID: 1455955 • Letter: C

Question

Consider the molecule C6H12 which is ionized by removing one electron and accelerated to a speed of 7500 km/s.
A. As it passed through a region of uniform magnetic and electric field(E and B are perpendicular) what magnetic field is necessary for the condition of no deflection( zero Lorentz force) given and electric field of 550,000 V/m?
B. If it then enters a region of space with a uniform magnetic field of 4.0 T and no electric field what is the radius of the cyclotron orbit? Consider the molecule C6H12 which is ionized by removing one electron and accelerated to a speed of 7500 km/s.
A. As it passed through a region of uniform magnetic and electric field(E and B are perpendicular) what magnetic field is necessary for the condition of no deflection( zero Lorentz force) given and electric field of 550,000 V/m?
B. If it then enters a region of space with a uniform magnetic field of 4.0 T and no electric field what is the radius of the cyclotron orbit?
A. As it passed through a region of uniform magnetic and electric field(E and B are perpendicular) what magnetic field is necessary for the condition of no deflection( zero Lorentz force) given and electric field of 550,000 V/m?
B. If it then enters a region of space with a uniform magnetic field of 4.0 T and no electric field what is the radius of the cyclotron orbit?

Explanation / Answer

A)   Here, v = E/B

=>   7.5 * 106 = 550,000/B

=> B =   0.0733 T               --------------------------> magnetic field necessary for the condition of no deflection

B)      Here, r = mv/qB

=>    r =    (0.084 * 7.5 * 106) /(1.6 * 10-19 * 4 * 6.023 * 1023)

            =    1.634 m                ------------------->   the radius of the cyclotron orbit