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Ghella [55]
2 years ago
15

A uniformly charged conducting sphere of 1.22m radius has a surface charge density 8.13µCm-2.

Physics
1 answer:
sasho [114]2 years ago
6 0

(a) The magnitude of the charge on sphere is 1.52 x 10⁻⁸ C.

(b) The total electric flux leaving surface of sphere is 1,717.86 Nm²/C.

(c) The electric field at surface of sphere is 91.82 N/C.

<h3>Charge on sphere</h3>

The charge on the sphere is calculated as follows;

Q = Aσ

where;

  • A is area of the sphere

A = 4πr²

A = 4π(1.22)² = 18.7 m²

Q = (18.7) x (8.13 x 10⁻⁶ x 10⁻⁴)

<em>note: 1 cm² = 10⁻⁴ m²</em>

Q = 1.52 x 10⁻⁸ C

<h3>Total electric flux</h3>

Ф = Q/ε₀

Φ = (1.52 x 10⁻⁸) / (8.85 x 10⁻¹²)

Φ  = 1,717.86 Nm²/C

<h3>Electric field at surface of the sphere</h3>

E = Ф/A

E = \frac{Q}{4\pi \varepsilon _0 r^2} \\\\E = \frac{1.52  \times 10^{-8} }{4\pi \times 8.85 \times 10^{-12} \times (1.22)^2} \\\\E = 91.82 \ N/C

Learn more about electric flux here: brainly.com/question/26289097

#SPJ1

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Answer:

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2.) 206.8v

Explanation:

1.) Given that In one part of the lab activities, students connected a 2.50 µF capacitor to a 746 V power source, whilst connected a second 6.80 µF capacitor to a 562 V source.

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e = natural logarithm = 2.718

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Vo = 746/2.718

Vo = 274.5v

To calculate the charge, use the below formula.

Q = CV

Q = 2.5 × 10^-6 × 274.5

Q = 6.86 × 10^-4 C

For the second capacitor 6.80 µF 

V = Voe

562 = Vo × 2.718

Vo = 562/2.718

Vo = 206.77v

The charge on it will be

Q = CV

Q = 6.8 × 10^-6 × 206.77

Q = 1.41 × 10^-3 C

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165 = Vo × 2.718

Vo = 165 /2.718

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The bending of light as it passes into a transparent material of different optical intensity is known as A. conversion. B. aberr
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<em>Refraction occurs when light travels from air to glass or from air to liquid.</em>

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A spherical capacitor contains a charge of 3.00 nC when connected to a potential difference of 230 V. If its plates are separate
Assoli18 [71]

Answer:

Part(a): the capacitance is 0.013 nF.

Part(b): the radius of the inner sphere is 3.1 cm.

Part(c): the electric field just outside the surface of inner sphere is \bf{2.81 \times 10^{4}~n~C^{-1}}.

Explanation:

We know that if 'a' and 'b' are the inner and outer radii of the shell respectively, 'Q' is the total charge contains by the capacitor subjected to a potential difference of 'V' and '\epsilon_{0}' be the permittivity of free space, then the capacitance (C) of the spherical shell can be written as

C = \dfrac{4 \pi \epsilon_{0}}{(\dfrac{1}{a} - \dfrac{1}{b})}~~~~~~~~~~~~~~~~~~~~~~~~~~~(1)

Part(a):

Given, charge contained by the capacitor Q = 3.00 nC and potential to which it is subjected to is V = 230V.

So the capacitance (C) of the shell is

C &=& \dfrac{Q}{V} = \dfrac{3 \times 10^{-90}~C}{230~V} = 1.3 \times 10^{-11}~F = 0.013~nF

Part(b):

Given the inner radius of the outer shell b = 4.3 cm = 0.043 m. Therefore, from equation (1), rearranging the terms,

&& \dfrac{1}{a} = \dfrac{1}{b} + \dfrac{1}{C/4 \pi \epsilon_{0}} = \dfrac{1}{0.043} + \dfrac{1}{1.3 \times 10^{-11} \times 9 \times 10^{9}} = 31.79\\&or,& a = \dfrac{1}{31.79}~m = 0.031~m = 3.1~cm

Part(c):

If we apply Gauss' law of electrostatics, then

&& E~4 \pi a^{2} = \dfrac{Q}{\epsilon_{0}}\\&or,& E = \dfrac{Q}{4 \pi \epsilon_{0}a^{2}}\\&or,& E = \dfrac{3 \times 10^{-9} \times 9 \times 10^{9}}{0.031^{2}}~N~C^{-1}\\&or,& E = 2.81 \times 10^{4}~N~C^{-1}

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