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(a) A voltage of 10 V is applied across a parallel-plate capacitor with a plate separation of 2 x 10 m and plate area of 6.45 x 10 m², both in vacuum and then with a dielectric material placed between the plates. The polarization, P, due to the presence of the dielectric material is 2.22 × 10" C/m². (i) Calculate the electric field density and the capacitance in vacuum. (ii) Calculate the electric field density due to the presence of the dielectric. (iii) Based on answer obtained in Q.2(a)(i) and Q.2(a)(ii), determine the dielectric constant and the capacitance in the presence of the dielectric.

(a) A voltage of 10 V is applied across a parallel-plate capacitor with a plate separation of 2 x 10 m and plate area of 6.45 x 10 m², both in vacuum and then with a dielectric material placed between the plates. The polarization, P, due to the presence of the dielectric material is 2.22 × 10" C/m². (i) Calculate the electric field density and the capacitance in vacuum. (ii) Calculate the electric field density due to the presence of the dielectric. (iii) Based on answer obtained in Q.2(a)(i) and Q.2(a)(ii), determine the dielectric constant and the capacitance in the presence of the dielectric.

Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter19: Capacitors
Section: Chapter Questions
Problem 3RQ: A capacitor uses air as a dielectric and has a capacitance of 3 F. A dielectric material is inserted...
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Solve the following problem.

(a) A voltage of 10 V is applied across a parallel-plate capacitor with a plate separation of 2 x 10 m and plate area of 6.45 x 10 m², both in vacuum and then with a dielectric material placed between the plates. The polarization, P, due to the presence of the dielectric material is 2.22 × 10" C/m². (i) Calculate the electric field density and the capacitance in vacuum. (ii) Calculate the electric field density due to the presence of the dielectric. (iii) Based on answer obtained in Q.2(a)(i) and Q.2(a)(ii), determine the dielectric constant and the capacitance in the presence of the dielectric.
Transcribed Image Text:(a) A voltage of 10 V is applied across a parallel-plate capacitor with a plate separation of 2 x 10 m and plate area of 6.45 x 10 m², both in vacuum and then with a dielectric material placed between the plates. The polarization, P, due to the presence of the dielectric material is 2.22 × 10" C/m². (i) Calculate the electric field density and the capacitance in vacuum. (ii) Calculate the electric field density due to the presence of the dielectric. (iii) Based on answer obtained in Q.2(a)(i) and Q.2(a)(ii), determine the dielectric constant and the capacitance in the presence of the dielectric.
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