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A spherical cavity is excised from the inside of the sphere. The cavity has radius a4 and is centered at position h⃗ , where |h⃗ |<34a, so that the entire cavity is contained within the larger sphere. Find the electric field inside the cavity.

Respuesta :

Answer:

Electric field =h/3Eo

Explanation:

Because of the intrisic notation and symbol necessary for the solution please refer to the attached file

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The electric field inside the cavity is [tex]= \frac{ph}{3E_0}[/tex]

Following details are required to solve the electric field:

The spherical cavity is excised from the inside of the sphere.

The cavity has radius a4 and is centered at position h⃗, where |h⃗ |<34a.

Calculation of electric field:

The electric field inside the cavity because of the remaining portions of the sphere i.e. provided by applying the following formulas:

[tex]E '' = E - E' = \frac{p(h - \frac{a}{4} }{3E_0} - \frac{pa}{4/3E_0} = \frac{ph}{3E_0}[/tex]

Learn more about the sphere here:

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