Problem 27.22 An electron moves with velocity v =(7.7 i 6.7 j )×104m/s in a magn

Question

Problem 27.22

An electron moves with velocity v =(7.7i6.7j)×104m/s in a magnetic field B =(0.72i+0.51j)T.

A) Determine the x component of the force on the electron

B) Determine the y component of the force on the electron

C) Determine the z component of the force on the electron

Problem 27.22

An electron moves with velocity v =(7.7i6.7j)×104m/s in a magnetic field B =(0.72i+0.51j)T.

A) Determine the x component of the force on the electron

B) Determine the y component of the force on the electron

C) Determine the z component of the force on the electron

Explanation / Answer

We know that

F = q ( v xB)

Given that

v = (7.7i - 6.7j)*10^4 m/s

B = (-0.72i + 0.51j)T

q = 1.6*10^-19 C

==> F = 1.6*10^-19[ (7.7*10^4 i - 6.7*10^4 j) * (-0.72 i + 0.51j ) ]

=   [ - 1.435*10^-15 ] k

1. Determine the x-component of the force on the electron. Fx= 0 i

2. Determine the y-component of the force on the electron. Fy= 0 J

3. Determine the z-component of the force onthe electron. Fz = [ - 1.435*10^-15 ] k

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