Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

.ill MetroPCS Wi-Fi @ 1 0 60% i. , 8:26 PM gastate.view.usg.edu 2 of 3 PART TWO:

ID: 1874108 • Letter: #

Question

.ill MetroPCS Wi-Fi @ 1 0 60% i. , 8:26 PM gastate.view.usg.edu 2 of 3 PART TWO: ELECTRIC POTENTIAL&FIELD; (1) . A charge g 2 C is located at the origin (0, 0) m. A second charge -8nC is located at (2, 0) m the r-axis. (a) With the electric potential F-0 at infinity (), locate the point(s) along the x-axis at which the net electric potential due to the two charges is zero. 12/s m-23 m b) At what point(s) along the y-axis is the net electric potential due to these two charges equal to zero, if possible? If none, justify your answer. [ 0516 m (c) If the position of these charges are switched such that charge a-2 C is now located at the origin (2,0) m, while the second charge q.·SnC is placed at (0,0)mthe x-axis, at what pointis) along the y-axis is the net electric potential due to these two charges equal to nero, ifpossible? If none, justify your answer. 2. Three point charges are placed at three vertices of a rectangle, as shown. Assume a zero potential at infinity (a) Find the net electrostatic potential at P (b) A particle of charge of-20 nC is removed from infinity to the vertex P. What is the change in electrostatic potential energy expended in moving em this particle? (c) Find the total potential energy of the charge configuration with the -20-C charge at P I5 nC 5 C -30 nC a)-3.53 kV: (b)-7.1x 10" J, (e) 44x 10 3. (a) A thin plastic rod of length L carries a uniform linear charge dasity, -5.0 nCim along the x-axis, with its left edge at (0, 0) and its right edge at (6, 0) m. All distances are measured in meters. Find the electric potential due to this uniformly-charged plastic rod at the point, with coordinates10 m,y- 0 m), using integral methods. [Assume the potential at infinity. V®-01. [41 (b) A thin plastic rod of length L carries a uniform linear charge density, . along the x- axis, with its left edge at (-2, 0) and its right edge at (3,0) m. The constant density, .--2.0 aCin". All distances are measured in meters. Find the electric potential due to this uniformly-charged plastic rod at the point, P, with coordinates (x-Ora, y _ 3 m).[Assume the polential at infinity,V -OJ 1-115 V P. 4. An infinitely-long thin plastic rod of linear charge density -4mCm You are given that the electric potential V-0 at a radial distances r the net electric potential at radial distances: (a) r = 1.0m,(b) r = 3,0 m, and (c) 10m. [4a) 50 V:(b)-29 V:(c)-116 V] 2.0 m from the axis of the wire. Determine

Explanation / Answer


q1=2nC = 2*10^-9 C at (0,0)


q2=-8nC = -8*10^-9 C at (2,0)


a)


let


distance r1(outside the charges) at which net potential becomes zero


v1-v2=0


k*q1/r1 - k*q2/(r1-2)=0


2*10^-9/r1 - 8*10^-9/(r1-2)=0


===> r1=-2/3 m

again,


distance r2(between the charges) at which net potential becomes zero


v1-v2=0


k*q1/r2 - k*q2/(r2+2)=0


2*10^-9/r2 - 8*10^-9/(2-r2)=0


===> r2=2/5 m

b)

let


distance y along y-axis at which net potential becomes zero


v1-v2=0


k*q1/y-k*q2/sqrt(y^2 +2^2)=0

k*q1/y-k*q2/sqrt(y^2 +2^2)=0

2*10^-9/y-8*10^-9/sqrt(y^2 +2^2)=0


===> y=0.516 m

c)


the net electric potential due to these two charges is non zero

becuase, both charges will addup a net positive potenial which is non zero