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passes in t e egion passes into the region of the field of of a certain plane co

ID: 1427331 • Letter: P

Question

passes in t e egion passes into the region of the field of of a certain plane contains a uni form magnetic field of magnitude b 1.24 .24 and the the field is region to the left of the plane as shown in the figure below. An electron, originally traveling perpendicular to the boundary plane, = zero in region of nght B=0 B=b (a) Determine the time interval required for the electron to leave the "field-filled" region, noting that the electron's path is a semicircle oting that path is (b) Assuming the maximum depth of penetration into the field is 1.81 cm, find the kinetic energy of the electron energy of ev

Explanation / Answer

a)   time taken = 3.14 * m/qB

                          = (3.14 * 9.11 * 10-31) / (1.6 * 10-19 * 1.24 * 10-3)

                           =   14.42 * 10-9 sec

b)     Here,   velocity = 0.0181 * 1.6 * 10-19 * 1.24 * 10-3/9.1 * 10-31

                                                =   3.946 * 106 m/sec

    => Kinetic energy of electron = 0.5 * 9.1 * 10-31 * 3.946 * 106 * 3.946 * 106

                                                                           =    7.084 * 10-18 J

                                                    = 44.214852 eV