A very large magnetic field is 32 T. What is this field expressed in gauss? G Wh

Question

A very large magnetic field is 32 T. What is this field expressed in gauss? G What is a magnetic field of 650 G expressed in tesla? T An electron has a velocity of 7.00 times 10^6 m/s perpendicular to a magnetic field of 2.5 T. What force does the electron experience? N What acceleration does the electron experience? m/s^2 What force and acceleration would a proton experience if it has a velocity of 8. Times 10^6 m/s perpendicular to a magnetic field of 1.6 T? force N acceleration m/s^2 An ink drop with charge q = 3 times 10^-9 C is moving in a region containing both an electric field and a magnetic field. The strength of the electric field is 2. times 10^5 N/C and the strength of the magnetic field is 0.4 T. At what speed must the particle be moving perpendicular to the magnetic field so that the magnitudes of the electric and magnetic forces are equal? m/s

Explanation / Answer

1) 1 T = 10^4 gauss

32 T = 32*10^4 gauss

2) 650 G = 650*10^-4 T

3) f = qvB sintheta

here theta = 90

f = qvB = 1.6*10^-19*7*10^6*2.5 = 2.8*10^-12 N

a = f/m = 2.8*10^-12/9.1*10^-31 = 3.07*10^18 m/s^2

4) f = 1.6*10^-19*8*10^6*1.6 = 20.48*10^-13 N

a = 20.48*10^-13/1.672*10^-27 = 12.25*10^14 m/s^2

5) fE = fB

qE = qvB

v = E/B = 2*10^5/0.4 = 5*10^5 m/s

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