7. A rod of line t has a total charge of Q and a linear charge density of A, find the electric potential at point P due to the rod dq dx= The electric potential dV at P due to dq at x is: dV = k- dq Where dq = Adx and r Integrate over the charge distribution on the line: (Show your work below) bp v= [ = Adx k- %3D va' + x kQ 1+ Va? +1? - In 1 (1+ va² +1? = kAln a a

University Physics Volume 2
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Chapter7: Electric Potential
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Problem 62P: A long cylinder of aluminum of radius R meters is charged so that it has a uniform charge per unit...
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7. A rod of line t has a total charge of Q and a linear charge density of A, find
the electric potential at point P due to the rod
P
a
→| dx|-
The electric potential dV at P due to dq at x is:
dq
dV = k
Where
dq = Adx and r=
Ja? +x²
Integrate over the charge distribution on the line: (Show your work below)
dq
Adx
V=[k
%3D
Va² + x?
kQ 1+ Va² +1²
In
1+ va? +1?
= kAln
a
a
Transcribed Image Text:7. A rod of line t has a total charge of Q and a linear charge density of A, find the electric potential at point P due to the rod P a →| dx|- The electric potential dV at P due to dq at x is: dq dV = k Where dq = Adx and r= Ja? +x² Integrate over the charge distribution on the line: (Show your work below) dq Adx V=[k %3D Va² + x? kQ 1+ Va² +1² In 1+ va? +1? = kAln a a
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