Voltage from a continuous distribution of charge. a. A positively charged rod of length L, and uniform line charge density 2, is placed along the y-axis as shown in the drawing. The origin of the coordinate system is located at the center of the rod. Calculate the electric potential (voltage) at point P on the x axis. (Express your answer in terms of L, 2, and x.} b. Now a point charge, q, is brought in from very, very far away, and then placed at point P, while the charged rod remains fixed in position. What is the change in electric potential energy of the system? (Express your answer in terms of L, a, q, and x.} Obtain Cred per labeling on the diagram. MISSING WORK NO CREDIT; NO EXCEPTIONS: the integral, and show all work, including You mu у аxis >x axis

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Voltage from a continuous distribution of charge.
a. A positively charged rod of length L, and uniform line charge density 2 , is placed along the
y-axis as shown in the drawing. The origin of the coordinate system is located at the center
of the rod. Calculate the electric potential (voltage) at point P on the x axis.
{Express your answer in terms of L, 2, and x.}
b. Now a point charge, q, is brought in from very, very far away, and then placed at point P,
while the charged rod remains fixed in position.
What is the change in electric potential energy of the system?
{Express your answer in terms of L, 2, q, and x.}
Obtain Credit: You must properly set up and solve the integral, and show alL work, including
oper labeling on the diagram. MISSING WORK NO CREDIT; NO EXCEPTIONS;
у ахis
>x axis
Transcribed Image Text:Voltage from a continuous distribution of charge. a. A positively charged rod of length L, and uniform line charge density 2 , is placed along the y-axis as shown in the drawing. The origin of the coordinate system is located at the center of the rod. Calculate the electric potential (voltage) at point P on the x axis. {Express your answer in terms of L, 2, and x.} b. Now a point charge, q, is brought in from very, very far away, and then placed at point P, while the charged rod remains fixed in position. What is the change in electric potential energy of the system? {Express your answer in terms of L, 2, q, and x.} Obtain Credit: You must properly set up and solve the integral, and show alL work, including oper labeling on the diagram. MISSING WORK NO CREDIT; NO EXCEPTIONS; у ахis >x axis
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