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Vikentia [17]
4 years ago
15

A spherical conductor with a radius of 54.5 cm has an electric field of magnitude 4.00 × 105 V/m just outside its surface. What

is the electric potential just outside the surface, assuming the potential is zero far away from the conductor?
Physics
1 answer:
mamaluj [8]4 years ago
6 0

Answer:

 V =2.18 \times 10^5\ V

Explanation:

given,

radius of the sphere, R = 54.5 cm

                                   R = 0.545 m

Electric magnitude of the conductor,E = 4 x 10⁵ V/m

Electric potential just outside of the surface,V = ?

we know,

 E = \dfrac{V}{r}

 V = E.r

 V =4\times 10^5 \times 0.545

 V =2.18 \times 10^5\ V

Hence, the Potential just outside the surface is equal to V =2.18 \times 10^5\ V

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Consider a air-filled parallel-plate capacitor with plates of length 8 cm, width 5.52 cm, spaced a distance 1.99 cm apart. Now i
prohojiy [21]

Answer:

The ratio of the new potential energy to the potential energy before the insertion of the dielectric is 0.58

Explanation:

Given that,

Length of plates = 8 cm

Width = 5.52 cm

Distance = 1.99 cm

Dielectric constant = 2.6

Length = 4.4 cm

Potential = 0.8 V

We need to calculate the initial capacitance

Using formula of capacitance

C=\dfrac{\epsilon_{0}A}{d}

Put the value into the formula

C=\dfrac{8.85\times10^{-12}\times8\times5.52\times10^{-4}}{1.99\times10^{-2}}

C=1.96\times10^{-12}

We need to calculate the final capacitance

Using formula of capacitance

C'=\dfrac{\epsilon_{0}A_{1}}{d}+\dfrac{k\epsilon_{0}A_{2}}{d}

Put the value into the formula

C'=(\dfrac{8.85\times10^{-12}}{1.99\times10^{-2}})((4.4\times5.52)+(3.6\times5.52)2.6)\times10^{-4}

C'=3.37\times10^{-12}

We need to calculate the  ratio of the new potential energy to the potential energy before the insertion of the dielectric

Using formula of energy

\dfrac{E}{E'}=\dfrac{\dfrac{1}{2}CV^2}{\dfrac{1}{2}C'V^2}

Put the value into the formula

\dfrac{E}{E'}=\dfrac{1.96\times10^{-12}}{3.37\times10^{-12}}

\dfrac{E}{E'}=0.58

Hence, The ratio of the new potential energy to the potential energy before the insertion of the dielectric is 0.58

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3 years ago
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