A linear inductive accelerator is a device that accelerates charged particles wi

Question

A linear inductive accelerator is a device that accelerates charged particles with a changing magnetic field. One way to do this is through the use of a “magnetocylinder”, an apparatus which creates a magnetic field inside of, and pointing tangent to, a cylindrical casing. Suppose an electron enters one end of a magnetocylinder of length ` = 0.5 m, inner radius r1 = 2 cm, and outer radius r2 = 5 cm. The magnetocylinder is capable of changing its magnetic field from B = ?5 kG to +5 kG in the span of ? = 10?6 s. What is the maximum energy that can be gained by the electron? Express your answer in eV.

Explanation / Answer

Here, radius, r = mv/qB

=>   v = rqB/m

=>   v   = 0.03 * 1.6 * 10-19 * 10-4/(9.11 * 10-31)

           =   5.2689 * 105 m/sec

=>   the maximum energy that can be gained by the electron = 1/2mv2

                                                                                              = 1/2 * 9.11 * 10-31 * (5.2689 * 105 )2

                                                                                                                                      = 1.2645 * 10-19 J

                                                                                              = 0.7903 eV

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.