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JEE Advanced 2018 Paper 2
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Section:
Physics
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© examsnet.com
Question : 15
Total: 54
The electric field E is measured at a point
P
(
0
,
0
,
d
)
generated due to various charge distributions and the dependence of E on d is found to be different for different charge distributions. List-I contains different relations between E and d. List-II describes different electric charge distributions, along with their locations. Match the functions in List-I with the related charge distributions in List-II.
List - I
List - II
P. E is independent of d
1. A point charge Q at the origin
Q.
E
∝
1
d
2. A small dipole with point charges Q at
(
0
,
0
,
l
)
and At
(
0
,
0
,
−
l
)
take
2
l
<
<
d
R.
E
∝
1
d
2
3. An infinite line charge coincident with the x-axis, with uniform linear charge density
λ
S.
E
∝
1
d
3
4. Two infinite wires carrying uniform linear charge density parallel to the x- axis. The one along
(
y
=
0
,
z
=
l
)
has a charge density
+
λ
and the one along
(
y
=
0
,
z
=
−
l
)
has a charge density
−
λ
.Take
2
l
<
<
d
5. Infinite plane charge coincident with the xy-plane with uniform surface charge density
P
Q
R
S
A.
5
3,4
1
2
B.
5
3
1,4
2
C.
5
3
1,2
4
D.
4
2,3
1
5
[JEE Adv 2018 P2]
A
B
C
D
Validate
Solution:
(i)
E
=
K
Q
d
2
⇒
E
∝
1
d
2
(ii) dipole
E
=
2
k
p
d
3
√
1
+
3
c
o
s
2
θ
E
∝
1
d
3
for dipole
(iii) for line charge
E
=
2
k
λ
d
E
∝
1
d
(iv)
E
−
2
K
λ
d
−
l
−
2
K
λ
d
+
l
=
2
K
l
[
d
+
l
−
d
+
l
d
2
−
l
2
]
→
V
=
→
d
r
(
t
)
d
t
=
α
⋀
i
+
β
⋀
j
E
∝
1
d
2
(V) Electric filed due to sheet
∊
=
σ
2
∊
0
∊
=
V
is independent of r
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