(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))Tand
vec(E)=(5hat(i)-hat(j)-4hat(k))(V)/(m). (Give your answers in
Nfor 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-axis?. (Give your answer in degrees counterclockwise from the
+x-axis.)
◻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)