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# (Solved): Points] SERPSE10 28.A.OP.027.MI. A particle with positive charge q=1.92\times 10^(-18) C mo ...

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SERPSE10 28.A.OP.027.MI. A particle with positive charge

q=1.92\times 10^(-18)

C moves with a velocity

vec(v)=(5hat(i)+4hat(j)-hat(k))(m)/(s)

thiuugh a region where both a uniform magnetic field and a uniform electric field exist. (a) Calculate the total force on the moving particle, taking

vec(B)=(5hat(i)+2hat(j)+hat(k))T

and

vec(E)=(5hat(i)-hat(j)-4hat(k))(V)/(m)

N

for each component.)

F_(x)= The force will be the sum of the force due to the electric field and the force due to the magnetic field. N F_(y)= What is the equation for the force exerted by a magnetic field on a moving charge? N F_(Z)=

How does the magnetic force depend on the velocity of the charge?

N

(b) What angle does the force vector make with the positive

x

+x

-axis.)

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Note that the dot product of a vector with a unit vector

hat(i)

gives

vec(V)*hat(i)=Vcos(\theta )

where

\theta

is the angle between the two vectors.

\deg

counterclockwise from the

+x

-axis (c) What If? For what vector electric field would the total force on the particle be zero? (Give your answers in

(V)/(m)

for each component.)

E_(x)=,✓(V)/(m) E_(y)=,\times (V)/(m) E_(z)=,(V)/(m)

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