<transcript><audio_0> Abbiamo già visto che la sua capacità elettrica è dell'ordine del pico F.</transcript><caption><image_1>The image shows a 3D model of a spherical object on a stand. The object appears to be made of metal and has a shiny, metallic surface. It is spherical in shape and has two red dots on its surface. The stand is silver in color and is placed on a white surface. In the background, there is a desk with a computer monitor and a stool. The image is taken from a top-down perspective, looking down on the object.</caption><transcript><audio_2> perché tipicamente per poter depositare alcuni nanoculombe di carica elettrica sulla sua superficie è necessario portarne il potenziale superficiale a valori dell'ombra.</transcript><transcript><audio_3> Allora ci chiediamo, se quella sfera fosse grande quanto la Terra, sfera metallica nel vuoto, quale sarebbe la sua capacità elettrica? Basta calcolarla con la formula che conosciamo.</transcript><caption><image_4>The image is a screenshot of a document in Italian. The document appears to be a technical document or a technical report. The text is written in black font on a white background and is divided into two columns. 

The first column is titled "Informazione Potenziale Eletrostatico" which translates to "Electrostatic" in English. Below the title, there is a list of questions and answers related to the topic. The questions are written in a clear and concise manner, and the answers are in a smaller font size.

At the bottom of the document, there are two bullet points, one in Italian and one in English, which appear to be related to physics or chemistry. The first bullet point is a red circle, which is likely a reference point for the question. The second bullet point has a white arrow pointing to the right, which could be a reference or a description of the question or answer.</caption><transcript><audio_5> sostituendo qua il raggio della Terra che è circa 6400 km e ponendo εr uguale a 1 perché intorno alla sfera c'è il vuoto. Il risultato che otteniamo è comunque ancora piccolo, non arriva neanche a un</transcript><caption><image_6>The image is a screenshot of a whiteboard with various mathematical equations written on it. The equations are written in black marker and are arranged in a grid-like pattern. On the left side of the whiteboard, there is a green circle with a red dot in the center, which appears to be a representation of a circuit. 

On the right side, there are two equations, one labeled "Celtic" and the other labeled "Volume". The first equation is written in red marker, while the second equation is in black. The third equation is also written in white marker.

There is also a red circle with an arrow pointing to the right, which could be a symbol or a representation. The red circle is likely representing a clock or a clock face. The whiteboard is divided into two sections, with the left section showing the equations and the right section showing a diagram of the circuit.</caption> Let's now see some simple exercises on the electrical capacity of metallic spheres such as this, a metallic sphere with a radius of a few centimeters. metallic sphere with a radius of a few centimeters. We have already seen that its electrical capacity is of the order of the pico farad, that is, ten to the minus 12 farads because typically, in order to be able to deposit some nano doves of electric charge on its surface it is necessary to bring its surface potential to values of the order of a kilovolt thousands of times then we ask ourselves if that sphere was as large as the earth metallic sphere in vacuum what would its electrical capacity be just calculate it with the  formula that we know by substituting the radius of the earth here which is approximately 6,400 kilometers and setting y r equal to 1 because there is a vacuum around the sphere the result we obtain is still small, it doesn't even reach a
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