Question

Calculate the potential at a point 10 cm away from a point charge +1C in air​

Answer 1

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12th

Physics

Electric Charges and Fields

Gauss Law and Problems Based on it

A point charge + 10 μ C is...

PHYSICS

A point charge +10 μC is a distance 5 cm directly above the center of a square of side 10 cm, as shown in fig. What is the magnitude of the electric flux through the square? (Hint: Think of the square as one face of a cube with edge 10 cm.)

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ANSWER

The square can be considered as one face of a cube of edge 10 cm with a centre where charge q is placed. According to Gauss’s theorem for a cube, total electric flux is through all its six faces.

ϕ

total

=

∈

0

q

Hence, electric flux through one face of the cube i.e., through the square,

ϕ=

6

ϕ

total

=

6

1

∈

0

q

Where, ∈

0

= Permittivity of free space

=8.854×10

−12

N

−1

C

2

m

−2

q=10μC=10×10

−6

C

∴ϕ=

6×8.854×10

−12

10×10

−6

=1.88×10

5

Nm

2

C

−1

Therefore, electric flux through the square is 1.88×10

5

Nm

2

C

−1

.

Answer 2

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❥Potential 'V' due to a point charge 'q' is given as

$\sf{V =>\frac{kQ}{r}}$

$Taken \:referance\; as\:{\sf{V(∞) => 0}}$

$\sf{k => 9 x 10⁹ Nm²/C²}$

$\sf{Q =>∆ 1 C}$

$\sf{r =>0.1m}$

$\sf{V => \frac{9 x 10⁹ x 1 }{ 0.1} = >9 x 10¹⁰ V}$

$\sf{V => 9 x 10¹⁰ V}$