To obtain capacity from three capacitors of each, they will be arranged.
all the three in series
all the three in parallel
two capacitors in series and the third in parallel with the combinatioin of first two
two capacitors in parallel and the third in series with the combinatioin of first two
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The energy required to charge a parallel plate condenser of plate separation and plate area of cross-section such that the uniform electric field between the plates is , is
Energy required to charge the capacitor is
Two identical thin metal plates has charge and respectively such that . The plates were brought close to each other to form a parallel plate capacitor of capacitance . The potential difference between them is :
Electric field between plates given by,
(Here, )
The, the potential difference will be
A series combination of capacitors, each of capacity is charged by source of potential difference . When another parallel combination of capacitors each of capacity is charged by a source of potential difference , it has the same total energy stored in it as the first combination has.
The value of in terms of is then
Equivalent capacitance of number of capacitors each of capacitance in parallel
Equivalent capacitance of number of capacitors each of capacitances in series.
Capacitance of each is
According to question, total energy stored in both the combinations are same
i.e.,
Two capacitors of capacitances and are connected in series, assume that . The equivalent capacitance of this arrangement is , where
Similarly,
Four identical square plates of side are arranged as shown. The equivalent capacity
between and
.
Equivalent circuit is shown
is the capacitance of a parallel plate capacitor with air as a medium between the plates (as shown in Fig. 1). If half space between the plates is filled with a dielectric of relative permittivity (as shown in Fig. 2), the new capacitance of the capacitor will be:
Clearly, and are in parallel as shown
So,
Seven capacitors each of capacitance are to be connected in a configuration to obtain an effective capacitance of . Which of the combination (s) shown in figure will achieve the desired result?
The equivalent capacitance
A force of acts on a charged particle placed between two plates of a charged capacitor. If one plate of capacitor is removed, then the force acting on that particle will be :
Zero
Force on charge particle will be given by
A number of capacitors each of equal capacitance , are arranged as shown in Fig. The equivalent capacitance between and is
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