Page 78 - Physics 10_Float
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ELECTROSTATICS


                                                        +Q
                   insulator. This medium is known as dielectric.  Q



                                                                                   Potential and Potential
                                                                                          Energy
                                                                                Electric  potential  is  a
                             (a)  A     B      (b)      A       B
                                                       ( . )                    characteristic  of  the  field  of
                                                       K  +  –                  s o u r c e   c h a r g e   a n d   i s
                                                           V
                                                                                independent  of  a  test  charge
                                                                                that may be placed in the field.
                   Fig. 13.13 (a) Parallel plate capacitor (b) Plates of capacitor connected    But,  potential  energy  is  a
                                                          with battery          characteristic of both the field
                   If a capacitor is connected to a battery of V volts, then the   and test charge. It is produced
                   battery transfers a charge +Q  from plate B  to plate  A, so that  due  to  the  interaction  of  the
                   -Q charge appears on plate A and +Q charge appears on plate   field  and  the  test  charge
                   B .                                                          placed in the field.
                   The  charges  on  each  plate  attract  each  other  and  thus
                   remained  bound  within  the  plates.  In  this  way,  charge  is
                   stored in a capacitor for a long time.
                   Also, the charge Q stored on plates is directly proportional to
                   the potential difference V across the plates i.e.,
                                  F 
                                      q
                                        q
                                       1  ﻮ
                                  Q       V
                                  Q = CV         ........(13.8)
                   where  C  is  the  constant  of  proportionality,  called  the
                   capacitance of the capacitor and is defined as the ability of
                   the capacitor to store charge. It is given by the ratio of charge
                   and the electric potential as:
                                       Q
                                  C =
                                       V

                   SI unit of capacitance is farad (F), defined as:


                   If   one coulomb of charge given to the plates of a capacitor
                   produces a potential difference of one volt between the plates
                   of the capacitor then its capacitance would be one farad.

                   farad is a large unit, usually, we use a smaller unit such as
                   micro farad (µF), nano farad (nF)  and pico farad (pF) etc.


                   Example 13.2: The capacitance of a parallel plate capacitor is
                   100  F.  If  the  potential  difference  between  its  plates  is   µ
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