(1) A small droplet with a mass of 0.2 g is placed in between the plates. In order to make the droplet float at its original position, how much charge do we need to put on the droplet? Is the charge positive or negative? (2) You are given three types of dielectric materials to fill up the space between the plates (highlighted in light blue). Each material has to take up at least 20% of the total volume of the space. The table below provides the dielectric constant of the materials. Suppose the materials can form any shape. (i) Find a way to fill up the space such that the capacitance of the capacitor is smaller than 24 × 10-10 F. (ii) Find a way to fill up the space such that the capacitance of the capacitor is larger than 52 x 10-10 F. (3) For 2(ii), suppose that the materials are filled sequentially in the order of A–B C and that before filling the space is filled with air. (The dielectric constant of air is 1.) Calculate the electric potential energy stored by the capacitor at each step, i.e., (i) after A is filled; (ii) after A and B are filled; (iii) after A, B and C are all filled. +2 V Table Material A OV Dielectric constant 2 Figure 4.
(1) A small droplet with a mass of 0.2 g is placed in between the plates. In order to make the droplet float at its original position, how much charge do we need to put on the droplet? Is the charge positive or negative? (2) You are given three types of dielectric materials to fill up the space between the plates (highlighted in light blue). Each material has to take up at least 20% of the total volume of the space. The table below provides the dielectric constant of the materials. Suppose the materials can form any shape. (i) Find a way to fill up the space such that the capacitance of the capacitor is smaller than 24 × 10-10 F. (ii) Find a way to fill up the space such that the capacitance of the capacitor is larger than 52 x 10-10 F. (3) For 2(ii), suppose that the materials are filled sequentially in the order of A–B C and that before filling the space is filled with air. (The dielectric constant of air is 1.) Calculate the electric potential energy stored by the capacitor at each step, i.e., (i) after A is filled; (ii) after A and B are filled; (iii) after A, B and C are all filled. +2 V Table Material A OV Dielectric constant 2 Figure 4.
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Transcribed Image Text:(1) A small droplet with a mass of 0.2 g is placed in between the plates. In order to make the
droplet float at its original position, how much charge do we need to put on the droplet? Is the
charge positive or negative?
(2) You are given three types of dielectric materials to fill up the space between the plates
(highlighted in light blue). Each material has to take up at least 20% of the total volume of the
space. The table below provides the dielectric constant of the materials. Suppose the materials
can form any shape. (i) Find a way to fill up the space such that the capacitance of the capacitor
is smaller than 24 × 10-10 F. (ii) Find a way to fill up the space such that the capacitance of
the capacitor is larger than 52 x 10-10 F.
(3) For 2(ii), suppose that the materials are filled sequentially in the order of A–B C and that
before filling the space is filled with air. (The dielectric constant of air is 1.) Calculate the
electric potential energy stored by the capacitor at each step, i.e., (i) after A is filled; (ii) after
A and B are filled; (iii) after A, B and C are all filled.
+2 V
Table
Material
A
OV
Dielectric constant
2
Figure
4.
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