A 1 kg particle carrying a charge of 53 uC enters a uniform 1 T magnetic field a

Question

A 1 kg particle carrying a charge of 53 uC enters a uniform 1 T magnetic field at a speed of 33 m/s and with an angle of 600 with respect to the field lines, as shown in the figure. Answer the following questions: (Select T-True, F-False, If the first is T and the rest F, enter TFFFF). Angle A) The work done by the field on the particle is zero since the force is normal to the displacement. B) The particle follows a helical path. C) The particle's speed varies as it passes through the B-Field. D) The y-component of the particle's velocity is unchanged as it passes through the B-Field. E) The initial force on the particle is in the +z direction.

Explanation / Answer

magnetic force Fb = q*(v X B )

force is perpendicular to v and displacement s

work done = F*s*cos90 = 0

A) TRUE

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B)

the particle has velocity component along x and y axis

along x axis there is no force on particle and the particle moves straight

force acts on the y componentand particle describes a circular path

circular + straight = helix

TRUE

-----------------

C)

work done = change in KE

since work done = 0

change in KE = 0

KE is constant

speed is constant

FALSE

=======================

D)

TRUE

----------------------

E)

F = q*( v X B)

v = vy j

B = Bxi

F = q*(vy j x Bx i )

F = q*vy*Bx ( j X i )

F = q*Vy*Bx ( -k )

initial force is in -z direction

FALSE

TTFTF

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