Mathematically- electric flux can - be represented as- E- - electric field n- surface normal vector A- surface area

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Introducing Flux

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Question

Mathematically, electric flux can $ϕ$ be represented as:
$\to E =$ electric field
$^n =$ surface normal vector
$A =$ surface area

\to ϕ = E^n A

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\to ϕ = \to E .^n A

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ϕ = \to E .^n A

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\to ϕ = E n A

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Solution

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^n

θ

\to E

d S

ϕ

ϕ

Q_{1}

Q_{2}

S

E

S

ϕ

E

S

	List-I		List-II
(P)	If $Q_{1} = 0$ and $Q_{2} \neq 0$ then	(1)	Both $E$ and $ϕ$ will change
(Q)	If $Q_{1} \neq 0$ and $Q_{2} = 0$ then	(2)	$E \neq 0$ and $ϕ \neq 0$
(R)	If $Q_{2}$ changes	(3)	net electric field will change but $ϕ$ will not change
(S)	If $Q_{1}$ changes	(4)	$E \neq 0$ but $ϕ = 0$

ϕ

E = \frac{X ϕ}{π d^{2}}

ϕ

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