13. A thin rod of length 2L carries a uniform linear charge density + lies along the x-axis with its midpoint centered at the origin as shown. The electric potential V at point (A) a distance (L) from its right end, can be found by solving one of the following integrals: 3L =Sk- L a) V= 2L b) V = [k Adx (x + L) Adx +L c) V = [k -L 3L Adx (x+L)² Adx (2L-x) d) V = fk- L 3L Adx e) V = fk² L X 2L- dq --X ----X

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Chapter1: Units, Trigonometry. And Vectors
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13. A thin rod of length 2L carries a uniform linear charge density + lies along the x-axis with its midpoint centered at
the origin as shown. The electric potential V at point (A) a distance (L) from its right end, can be found by solving
one of the following integrals:
3L
a) V = k-
L
2L
b) V = k
0
+L
c) V = √k-
-L
3L
d) V=k-
ܝ
λdx
(x + L)
L
3L λdx
e) V=Sk
L
Adx
a) 300
b) True
2.dx
(2L-x)
Adx
(x+L)²
X
b) 480
2L-
14. A point charge Q = +4 µC is fixed a distance x = 0.1 m from point A as shown in the figure. A charged particle of
q = 64 nC and mass m = 2 × 10-7 kg is released from rest at point A and moves along x-axis to infinity. What is
the ultimate speed (in m/s) of the particle at infinity?
O
c) 540
dq
d) 600
·L-
e) 660
x=0.1 m A
----X
15. All points on the perpendicular (AB) bisector of the line joining two equal but opposite charges have a potential of
zero and Electric field of zero.
A
a) False
B
-X
Page 4/4
Transcribed Image Text:13. A thin rod of length 2L carries a uniform linear charge density + lies along the x-axis with its midpoint centered at the origin as shown. The electric potential V at point (A) a distance (L) from its right end, can be found by solving one of the following integrals: 3L a) V = k- L 2L b) V = k 0 +L c) V = √k- -L 3L d) V=k- ܝ λdx (x + L) L 3L λdx e) V=Sk L Adx a) 300 b) True 2.dx (2L-x) Adx (x+L)² X b) 480 2L- 14. A point charge Q = +4 µC is fixed a distance x = 0.1 m from point A as shown in the figure. A charged particle of q = 64 nC and mass m = 2 × 10-7 kg is released from rest at point A and moves along x-axis to infinity. What is the ultimate speed (in m/s) of the particle at infinity? O c) 540 dq d) 600 ·L- e) 660 x=0.1 m A ----X 15. All points on the perpendicular (AB) bisector of the line joining two equal but opposite charges have a potential of zero and Electric field of zero. A a) False B -X Page 4/4
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