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Problem 4: The gap of a parallel-plate capacitor is filled with a material that has dielectric constant x, and the capacitance is Co. When connected to a battery with EMF Vo the capacitor has charge 2o and stored energy Uo. Once the capacitor has charged, then the switch is opened, and finally the dielectric material is extracted allowing the gap to fill with air. Part (a) Which of the following physical quantities does not change when the dielectric material is removed? The charge stored on the capacitor plates. ✓ Correct! €0 b C= e j Uo Part (b) Enter an expression for the potential difference between the capacitor plates after the removal of the dielectric material. Your expression must include the original potential difference, Vo V=xV₁ ✔Correct! Part (c) Enter an expression for the charge stored by the capacitor after the removal of the dielectric material. Your expression must include the original charge, lo- Q= 80 b e j Uo €0 b K e j U₂ с g Qo Vo K C g Qo Vo Ho Co I R K Part (d) Enter an expression for the capacitance of the capacitor after the removal of the dielectric material. Your expression must include the initial capacitance, Co C g Qo Vo X Ho Co I R X + 7 8 9 TL 4 5 6 1 2 3 0 END NO BACKSPACE DEL CLEAR X Vo Vo (7 8 9 HOME 1^^ 4 5 6 123 0 END + VO BACKSPACE CLEAR HO (7 8 9 Co I R Part (e) Enter an expression for the energy stored by the capacitor after the removal of the dielectric material. Your expression must include the initial tored energy, Up- T^^4 5 6 1 2 3 0 NO BACKSPACE HOME + di A HOME A END CLEAR

Problem 4: The gap of a parallel-plate capacitor is filled with a material that has dielectric constant x, and the capacitance is Co. When connected to a battery with EMF Vo the capacitor has charge 2o and stored energy Uo. Once the capacitor has charged, then the switch is opened, and finally the dielectric material is extracted allowing the gap to fill with air. Part (a) Which of the following physical quantities does not change when the dielectric material is removed? The charge stored on the capacitor plates. ✓ Correct! €0 b C= e j Uo Part (b) Enter an expression for the potential difference between the capacitor plates after the removal of the dielectric material. Your expression must include the original potential difference, Vo V=xV₁ ✔Correct! Part (c) Enter an expression for the charge stored by the capacitor after the removal of the dielectric material. Your expression must include the original charge, lo- Q= 80 b e j Uo €0 b K e j U₂ с g Qo Vo K C g Qo Vo Ho Co I R K Part (d) Enter an expression for the capacitance of the capacitor after the removal of the dielectric material. Your expression must include the initial capacitance, Co C g Qo Vo X Ho Co I R X + 7 8 9 TL 4 5 6 1 2 3 0 END NO BACKSPACE DEL CLEAR X Vo Vo (7 8 9 HOME 1^^ 4 5 6 123 0 END + VO BACKSPACE CLEAR HO (7 8 9 Co I R Part (e) Enter an expression for the energy stored by the capacitor after the removal of the dielectric material. Your expression must include the initial tored energy, Up- T^^4 5 6 1 2 3 0 NO BACKSPACE HOME + di A HOME A END CLEAR

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Problem 4: The gap of a parallel-plate capacitor is filled with a material that has dielectric constant x, and the capacitance is Co. When connected to a battery with EMF Vo the capacitor has charge 2o and stored energy Uo. Once the capacitor has charged, then the switch is opened, and finally the dielectric material is extracted allowing the gap to fill with air. C= Part (a) Which of the following physical quantities does not change when the dielectric material is removed? The charge stored on the capacitor plates. ✓ Correct! €0 b e U= j U₁ Part (b) Enter an expression for the potential difference between the capacitor plates after the removal of the dielectric material. Your expression must include the original potential difference, Vo- V=xV₁ ✓ Correct! Part (c) Enter an expression for the charge stored by the capacitor after the removal of the dielectric material. Your expression must include the original charge, 20- Q= 80 b e j U₁ 20 b e j U₁ K Qo Vo K с с g Qo Vo K Ho Co I R Part (d) Enter an expression for the capacitance of the capacitor after the removal of the dielectric material. Your expression must include the initial capacitance, Co- с Qo Vo X X HO (7 8 9 Co 1^^4 5 6 I 1 23 R (78 9 T^^4 5 6 1 2 3 + 0 NO BACKSPACE 440 Co I R X Vo / + 0 VO BACKSPACE Vo HOME END DEL CLEAR HOME END BACKSPACE DEL CLEAR Part (e) Enter an expression for the energy stored by the capacitor after the removal of the dielectric material. Your expression must include the initial tored energy. Uo- d dí () 789 HOME T^^ 4 5 6 /*1 23 A + 0 END NO BACKSPACE DEL CLEAR A K
Transcribed Image Text:Problem 4: The gap of a parallel-plate capacitor is filled with a material that has dielectric constant x, and the capacitance is Co. When connected to a battery with EMF Vo the capacitor has charge 2o and stored energy Uo. Once the capacitor has charged, then the switch is opened, and finally the dielectric material is extracted allowing the gap to fill with air. C= Part (a) Which of the following physical quantities does not change when the dielectric material is removed? The charge stored on the capacitor plates. ✓ Correct! €0 b e U= j U₁ Part (b) Enter an expression for the potential difference between the capacitor plates after the removal of the dielectric material. Your expression must include the original potential difference, Vo- V=xV₁ ✓ Correct! Part (c) Enter an expression for the charge stored by the capacitor after the removal of the dielectric material. Your expression must include the original charge, 20- Q= 80 b e j U₁ 20 b e j U₁ K Qo Vo K с с g Qo Vo K Ho Co I R Part (d) Enter an expression for the capacitance of the capacitor after the removal of the dielectric material. Your expression must include the initial capacitance, Co- с Qo Vo X X HO (7 8 9 Co 1^^4 5 6 I 1 23 R (78 9 T^^4 5 6 1 2 3 + 0 NO BACKSPACE 440 Co I R X Vo / + 0 VO BACKSPACE Vo HOME END DEL CLEAR HOME END BACKSPACE DEL CLEAR Part (e) Enter an expression for the energy stored by the capacitor after the removal of the dielectric material. Your expression must include the initial tored energy. Uo- d dí () 789 HOME T^^ 4 5 6 /*1 23 A + 0 END NO BACKSPACE DEL CLEAR A K
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