Question

Question is from Electrostatics !
$\huge { \underline{ \underline{ \red{ \boxed{ \mathtt{\purple {question}}}}}}}$
The inward and outward flux from a closed surface the respectively 8×10^3
& 4×10^3 units. The net charge inside the closed surface is

a) -4 × 10^3
b) +4 × 10^3
c) -12 × 10^3
d) +12 × 10^3​

Answer 1

A N S W E R :

$\longmapsto {\rm \: ϕ2−ϕ1=\dfrac{q}{ε0}}$

$\longmapsto{∴q=ε _{0}(ϕ_{2}−ϕ_{1})}$

$\longmapsto{\rm=ε(4×10^3−8×10^3)}$

$\longmapsto{ \rm=−4×10^3ε_{0}C}$

$\longmapsto{ \red{ \rm=−4×10^3ε}}$

Hence,Option (a) is Correct.

Hope It Helps You!!!

Answer 2

Answer:

⟼ϕ2−ϕ1=

ε0

q

\longmapsto{∴q=ε _{0}(ϕ_{2}−ϕ_{1})}⟼∴q=ε

0

(ϕ

2

−ϕ

1

)

\longmapsto{\rm=ε(4×10^3−8×10^3)}⟼=ε(4×10

3

−8×10

3

)

\longmapsto{ \rm=−4×10^3ε_{0}C}⟼=−4×10

3

ε

0

C

\longmapsto{ \red{ \rm=−4×10^3ε}}⟼=−4×10

3ε

a) is Correct.

Hope Its helpful ☺️