The capacitance of a parallel plate capacitor is increased by a factor of 6 when a dielectric material fills the space between its plates. What is the relative permitivity of the dielectric material? If this material is placed in between the plates of a cylindrical capacitor of outer and inner radii 12 cm and 10 cm respectively, calculate the capacitance per unit length of the cylindrical capacitor.

The capacitance of a parallel plate capacitor is given by:

\[
C = \frac{\varepsilon_0 A}{d}
\]

where \( \varepsilon_0 \) is the permittivity of free space, \( A \) is the area of the plates, and \( d \) is the separation between the plates. When a dielectric material with relative permittivity \( \varepsilon_r \) is introduced, the capacitance becomes:

\[
C' = \varepsilon_r C = \frac{\varepsilon_r \varepsilon_0 A}{d}
\]

It is given that the capacitance ___ ______ ______ ___ _____ _______ _____.
_______ _____ ____ ________ ____ _______.
_________ ________ _______ _____ ________ ________ _________ __________ __________ _________ ________ ______.
_________ ____ __________ ___ ____ ____ ______ __________.
________ ______ _________ ______ _________ ______ _______.
________ ________ ___ _________ _______ _______ ________ ___ ____.
___ _________ _____ _________ _________ _______ ________.
_____ _____ ____ _____ __________ __________ _______ ____ _____ ______ ___.
_____ ____ _____ _____ ______ _____ ________.
__________ ________ ____ _______ ______ __________ ________ _________ __________.
_________ ____ ____ ____ ____.
__________ ____ ______ _________ ___ __________ _____ _____.
____ ___ __________ _________ ________ _________.
_________ _____ ___ ___ __________.
___ ________ _____ ____ __________ _______ _____ ________ _________ ____.
___ _____ ____ _________ ____ _______ ___ _____ ____.
____ ___ __________ _________ ________ _______ ______ ______ ____ ___.
_________ ________ _______ ___ ____ ___ __________ _______ ______ _____ _____.
_______ ________ _____ _______ _________ _________ ______ _______ ___ _________ ________ _____.
__________ _______ _____ ____ __________ ____ _________ ______.
____ _________ ___ _____ ______.
_____ _______ __________ _____ ______ __________ __________ ___.
__________ ____ __________ ____ _______ ___ __________ _______.
__________ ___ ________ _________ ___ _________ _____.
___ _______ ___ _______ ___.
___ __________ _______ __________ ______ _____ ____ ____ _____ ________ ______.
____ _________ ______ _______ ____.
______ _______ ______ ____ _____ _______ ______ _____ _________ _________ _______.
________ ________ ____ __________ ______ ____ ____ _________ ____ ________ _____.
______ ____.
Get Full Answer on WhatsApp