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Question

Change Q1 and Q2 lie inside and outside respectively of a closed surface S. Let E be the field at any point on S ϕ be the flux of E (electric field) over S.

List-IList-II
(P)If Q1=0 and Q20 then(1)Both E and ϕ will change
(Q)If Q10 and Q2=0 then(2)E0 and ϕ0
(R)If Q2 changes(3)net electric field will change but ϕ will not change
(S)If Q1 changes(4)E0 but ϕ=0

A
P - 4, Q - 2, R - 3, S - 1
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B
P - 1, Q - 2, R - 4, S - 3
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C
P - 2, Q - 4, R - 1, S - 3
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D
P - 3, Q - 4, R - 1, S - 2
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Solution

The correct option is A P - 4, Q - 2, R - 3, S - 1
Given,
Q1 is inside and Q2 is outside.
We know,

ϕ=Qinε0=Q1ε0

And Electric field on the surface will depend on both the Charges.

Case 1

ϕ=0ε0=0

E0 as there'll be field due to Q2

P4

Case 2

ϕ0

And also E0 as there'll be field due to Q1

Q2

Case 3

As ϕ is independent of Q2

Net Electric field will change but ϕ won't change.

R3

Case 4

Here ϕ changes as Q1 Changes.

And also Electric field will change of course.

R1


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