Suppose you have 5 point charges q1 to q5 distributed along a semi-circle maintaining equal distance. The charge q6 is on the center of the circle which is also the origin of given coordinate system. The radius of the semi-circle is R=15cm and the magnitude of the charges are as follows : q1=q5=29μC , q2=q4=36μC and q3=q6=−37μC .
Find the x and y component of the vector for all the following questions below
a) Find the vector that points from q1 to q6 and call it r(1,6) .
b) Calculate the coulomb force on q6 due to q1 in unit vector notation and call it F(1,6).
c) Find the vector that points from q3 to q6 and call it r(3,6).
d) Calculate the coulomb force on q6 due to q3 in unit vector notation and call it F (3,6).
e) Find the vector that points from q4 to q6 and call it r(4,6).
f) Calculate the coulomb force on q6 due to q4 in unit vector notation and call it F (4,6).
g) Calculate the Net Electric force on q6 due to all other charges.
a)
The distance between the charge and is
The vector points in positive x-axis.
Therefore
b)
The force is attractive toward negative x-axis
c)
The distance from
The vector points in negative y-axis
d)
The force is repulsive toward negative y-axis,
e)
The angle between the vector and x-axis
The vector is sum of y-component and x- component
f)
The force is attractive toward with x- and y- components equal.
This is because
g)
Net force on due to and
Also net force due to x-component of
They point in opposite direction.
Net force
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