-) (a)Using the Gauss law find the electric field of an infinite conductor plane vith charge density o. b)Using the result in part (a) calculate the capacitance of a capacitor made of wo conducting plane of 2 m2 area and with charge density o = 9.6 C/m2 and hese conducting planes are separated with a distance 0.1 mm and there is Aluminium oxide as the dielectric between two plates.

A charge ±Q is placed on the plates of a capacitor, which is then disconnected from the outside world. The separation between the plates is changed, and it is found that the voltage across the plates decreases. (a) Have the plates been moved closer together or farther apart? O closer together O farther apart (b) If the new voltage is smaller than the original voltage by a factor of six, what is the ratio of the new plate spacing to the original spacing?

A parallel-plate capacitor with plate separation d is connected to a battery that has potential difference AVbat. Without breaking any of the connections, insulating handles are used to increase the plate separation to 2d.

A non-conducting sphere of radius R = 5 cm has its center at the origin O of coordinate system as shown in Fig. Its has two spherical cavities of radius r = 1 cm, whose centers are at (0,3 cm), (0.-3 cm), respectively, and solid material of the sphere has uniform positive charge density p = 1/π µСm-³. Calculate electric potential at point P (4 cm, 0). y Fig. P