(a) What is the electric field 2.5 m from the center of the terminal of a Van de Graaff with a 8.10 mC charge, noting that the field is equivalent to that of a point charge at the center of the terminal?

Respuesta :

Answer:

Electric field, [tex]E=1.16\times 10^7\ N/C[/tex]

Explanation:

Charge in van de Graff generator, [tex]q=8.1\ mC=8.1\times 10^{-3}\ C[/tex]

Distance from center of generator, d = 2.5 m

The electric field at a distance d from the center of any charged particle is given by :

[tex]E=\dfrac{kq}{d^2}[/tex]

[tex]E=\dfrac{9\times 10^9\times 8.1\times 10^{-3}}{(2.5)^2}[/tex]

[tex]E=1.16\times 10^7\ N/C[/tex]

So, the the electric field 2.5 m from the center of the terminal of a Van de Graaff is [tex]E=1.16\times 10^7\ N/C[/tex]. Hence, this is the required solution.

Answer:

The electric field is [tex]116.6\times10^{5}\ N/C[/tex]

Explanation:

Given that,

Distance= 2.5 m

Charge = 8.10 mC

We need to calculate the electric field

Using formula of electric field

[tex]E=\dfrac{kQ}{r^2}[/tex]

Where, k = Boltzmann constant

Q = charge

r = distance

Put the value into the formula

[tex]E=\dfrac{9\times10^{9}\times8.10\times10^{-3}}{(2.5)^2}[/tex]

[tex]E=11664000\ N/C[/tex]

[tex]E=116.6\times10^{5}\ N/C[/tex]

Hence, The electric field is [tex]116.6\times10^{5}\ N/C[/tex]