Consider a constant magnetic field of size 1 T directed into this page. Find the

Question

Consider a constant magnetic field of size 1 T directed into this page. Find the size and direction of the magnetic force on a proton moving with speed 8 times 10^6 m/s when the proton is moving A) out of the page B) up the page. C) to the left across the page the page D) at an angle of 45 degree above the horizontal and to the right across the page. A) Find the magnetic force on an electron moving with a speed of 5 times 10^6 m/s westward at a position where the magnetic field of the earth has size 0.5 times 10^-4 T and is directed northward. Compare your answer to the weight of the electron. B) Find the magnetic force on a proton moving with a speed of 5 times 10^6 m/s westward at a position where the magnetic field of the earth has size 0.5 times 10^-4 T and is directed northward. Compare your answer to the weight of the proton.

Explanation / Answer

Problem 3 :

A.

F = q*VxB

F = q*V*B*sin theta

theta = 180 deg

sin 180 deg = 0

So,

F = 0 N

B.

V = 8*10^6 j

B = -1 k

F = q*VxB = 1.6*10^-19*(8*10^6 j)x(-1 k)

F = - 1.28*10^-12 k N

C.

V = -8*10^6 i m/sec

B = - 1 k T

F = 1.6*10^-19*(-8*10^6 i)x(-1 k)

F = -1.28*10^-12 j N

D).

V = 8*10^6*cos 45 deg i + 8*10^6*sin 45 deg j

V = (5.656*10^6 i + 5.656*10^6 j) m/sec

B = -1 k T

F = 1.6*10^-19*(5.656*10^6 i + 5.656*10^6 j)x(-1 k)

F = 0.904*10^-12 j - 0.904*10^-12 i

|F| = 0.904*10^-12*sqrt (2) = 1.28*10^-12 N

Direction = 45 deg above -ve x-axis

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