6. A rod with a uniform linear charge density A is bent into a half-circle of radius R. A point charge -q is placed at the center of the circle. (The rod and the point charge are each held fixed in place.) a) What is the net charge on the half-circle? b) Set up an integral to find the force on the point charge due to the half-circle. (Remember that force is a vector.) c) In which direction does the force point? How can you tell this without doing any calculation?
6. A rod with a uniform linear charge density A is bent into a half-circle of radius R. A point charge -q is placed at the center of the circle. (The rod and the point charge are each held fixed in place.) a) What is the net charge on the half-circle? b) Set up an integral to find the force on the point charge due to the half-circle. (Remember that force is a vector.) c) In which direction does the force point? How can you tell this without doing any calculation?
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Transcribed Image Text:6. A rod with a uniform linear charge density A
is bent into a half-circle of radius R. A point
charge -q is placed at the center of the circle.
(The rod and the point charge are each held
fixed in place.)
b-
a) What is the net charge on the half-circle?
b) Set up an integral to find the force on the
point charge due to the half-circle. (Remember
that force is a vector.)
c) In which direction does the force point? How
can you tell this without doing any
calculation?
d) Evaluate the integral and find the force on
the point charge. It might help to rewrite
your vectors in terms of cartesion unit
vectors î and ŷ (Some books use i and j
for the unit vectors). **
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