11) A thin rod extends along the x-axis from x = -a to x = a. The rod carries a positive charge +Q uniformly distributed along its length 2a with charge density A, as shown in Figure 7. to show that the electric potential at point P is given by a) Use dV: = 4760 V(x): r+a A Απέρ x-a In • b) What is the electric potential of the rod at x = 4a and x = 2a? c) What is the electric potential difference between x = 4a and x = 2a?
11) A thin rod extends along the x-axis from x = -a to x = a. The rod carries a positive charge +Q uniformly distributed along its length 2a with charge density A, as shown in Figure 7. to show that the electric potential at point P is given by a) Use dV: = 4760 V(x): r+a A Απέρ x-a In • b) What is the electric potential of the rod at x = 4a and x = 2a? c) What is the electric potential difference between x = 4a and x = 2a?
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Transcribed Image Text:11) A thin rod extends along the -axis from r = -a to x = a . The rod carries a positive charge +Q uniformly
distributed along its length 2a with charge density A, as shown in Figure 7.
• a) Use dV =
S to show that the electric potential at point P is given by
x +a
In
x - a
V(x) =
4T€0
• b) What is the electric potential of the rod at x = 4a and r = 2a?
c) What is the electric potential difference between x = 4a and x =
• d) Now consider that there is an electron moving from a = 4a to x = 2a. What is the change in the
electrostatic potential energy (AU) of the electron? (calculate it in terms of the parameters defined in the
problem}
e) Explain the reason why AU in part d is positive or negative.
dx'
a
Figure 7: A thin rod of uniform charge density A used in question 11
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