Problem 6: A parallel-plate capacitor of capacitance C and distance d between plates is fully charged from a battery of voltage V. While remaining connected to the battery, the gap between the capacitor's plates is slowly reduced to half the initial separation (d/2). Part (a) The capacitance of the capacitor is now: MultipleChoice : 1) C 2) C/4 3) C/2 4) 20 5) 4C Part (b) The charge stored on the capacitor is: MultipleChoice : 1) CV/2 2) 4CV 3) 2CV 4) CV 5) CV/4 Part (c) The voltage across the capacitor is now: MultipleChoice : 1) 2V 2) 4V 3) V 4) V/2 5) V/4

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Problem 6: A parallel-plate capacitor of capacitance C and distance d between plates is fully charged from a
battery of voltage V. While remaining connected to the battery, the gap between the capacitor's plates is slowly
reduced to half the initial separation (d/2).
Part (a) The capacitance of the capacitor is now:
MultipleChoice :
1) C
2) C/4
3) C/2
4) 20
5) 4C
Part (b) The charge stored on the capacitor is:
MultipleChoice :
1) CV/2
2) 4CV
3) 2CV
4) CV
5) CV/4
Part (c) The voltage across the capacitor is now:
MultipleChoice :
1) 2V
2) 4V
3) V
4) V/2
5) V/4
Part (d) How does the energy stored in the capacitor change after this process?
MultipleChoice :
1) Stays the same.
2) Increased by a factor of four.
3) Increased by a factor of two.
4) Decreased by a factor of two.
5) Decreased by a factor of four.
Part (e) How does the electric field inside the capacitor change after this process?
MultipleChoice :
1) Decreased by a factor of two.
2) Increased by a factor of four.
3) Increased by a factor of two.
4) Stays the same.
5) Decreased by a factor of four.
Transcribed Image Text:Problem 6: A parallel-plate capacitor of capacitance C and distance d between plates is fully charged from a battery of voltage V. While remaining connected to the battery, the gap between the capacitor's plates is slowly reduced to half the initial separation (d/2). Part (a) The capacitance of the capacitor is now: MultipleChoice : 1) C 2) C/4 3) C/2 4) 20 5) 4C Part (b) The charge stored on the capacitor is: MultipleChoice : 1) CV/2 2) 4CV 3) 2CV 4) CV 5) CV/4 Part (c) The voltage across the capacitor is now: MultipleChoice : 1) 2V 2) 4V 3) V 4) V/2 5) V/4 Part (d) How does the energy stored in the capacitor change after this process? MultipleChoice : 1) Stays the same. 2) Increased by a factor of four. 3) Increased by a factor of two. 4) Decreased by a factor of two. 5) Decreased by a factor of four. Part (e) How does the electric field inside the capacitor change after this process? MultipleChoice : 1) Decreased by a factor of two. 2) Increased by a factor of four. 3) Increased by a factor of two. 4) Stays the same. 5) Decreased by a factor of four.
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