Question

(a) What is the velocity of a beam of electrons when the simultaneous influence of an electric field of 3.4 &times 10^{5} V · m^{-1} and a magnetic field of 2.0 &times 10^{-2} T, both fields being normal to the beam and to each other, produces no deflection of the electrons? (b) Show in a diagram the relative orientation of the vectors v, E, and B. (c) What is the radius of the electron orbit when the electric field is removed?

          (a) What is the velocity of a beam of electrons when the simultaneous influence of an electric field of 3.4 &times 10^{5} V &middot; m^{-1} and a magnetic field of 2.0 &times 10^{-2} T, both fields being normal to the beam and to each other, produces no deflection of the electrons?
(b) Show in a diagram the relative orientation of the vectors v, E, and B.
(c) What is the radius of the electron orbit when the electric field is removed?

(a) What is the velocity of a beam of electrons when the simultaneous influence of an electric field of 3.4 times 10^5 V middot; m^-1 and a magnetic field of 2.0 times 10^-2 T, both fields being normal to the beam and to each other, produces no deflection of the electrons?
(b) Show in a diagram the relative orientation of the vectors v, E, and B.
(c) What is the radius of the electron orbit when the electric field is removed?

Added by Cassie F.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Chapter 27

Instant Answer

Solved by Expert Penny Riley

05/16/2023

Step 1

The electric force on an electron is given by: F_e = eE where e is the charge of an electron (1.6 x 10^-19 C) and E is the electric field strength (3.4 x 10^5 V/m). The magnetic force on an electron moving with velocity v in a magnetic field B is given by: F_m Show more…

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(a) what is the velocity of a beam of electrons when the simultaneous influence of an electric field of 3.4 x 10^5 V m^-1 and a magnetic field of 2.0 x 10^-2 T, both fields being normal to the beam and to each other, produces no deflection of the electrons? (b) Show in a diagram the relative orientation of the vectors v, E, and B. (c) What is the radius of the electron orbit when the electric field is removed?