A parallel plate capacitor has plates of 0.118 m2 area and a separation of 1.22 cm.  A battery charges the plates to a potential difference of 120 V and then disconnects. A sheet of dielectric material 4.30 mm thick and dielectric constant 4.80 is placed symmetrically between the plates. a) Determine the capacitance of the capacitor without dielectric. b) Calculate the capacitance of the capacitor with dielectric. c) Obtain the free charge before and after the capacitor.               c) Obtain the free charge before and after placing the dielectric. d) Determine the electric field in the space without dielectric. e) Find the electric field in the dielectric.  f) Determine the potential difference between the plates of the capacitor with dielectric.          g) Calculate the external work done when inserting the dielectric.

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter25: Capacitance And Dielectrics
Section: Chapter Questions
Problem 42AP: A parallel-plate capacitor of plate separation d is charged to a potential difference V0. A...
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 A parallel plate capacitor has plates of 0.118 m2 area and a separation of 1.22 cm.  A battery charges the plates to a potential difference of 120 V and then disconnects. A sheet of dielectric material 4.30 mm thick and dielectric constant 4.80 is placed symmetrically between the plates. 
a) Determine the capacitance of the capacitor without dielectric.

b) Calculate the capacitance of the capacitor with dielectric.

c) Obtain the free charge before and after the capacitor.               
c) Obtain the free charge before and after placing the dielectric. 
d) Determine the electric field in the space without dielectric.

e) Find the electric field in the dielectric.  
f) Determine the potential difference between the plates of the capacitor with dielectric.          
g) Calculate the external work done when inserting the dielectric.

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