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Solved: Two parallel-plate capacitors, identical except
Chapter 24, Problem 8DQ(choose chapter or problem)
Problem 8DQ
Two parallel-plate capacitors, identical except that one has twice the plate separation of the other, are charged by the same voltage source. Which capacitor has a stronger electric field between the plates? Which capacitor has a greater charge? Which has greater energy density? Explain your reasoning.
Questions & Answers
QUESTION:
Problem 8DQ
Two parallel-plate capacitors, identical except that one has twice the plate separation of the other, are charged by the same voltage source. Which capacitor has a stronger electric field between the plates? Which capacitor has a greater charge? Which has greater energy density? Explain your reasoning.
ANSWER:
Solution 8DQ
Step 1 of 2:
Introduction
Using the Gauss law for two parallel plate conductors, the electric field is computed as given below:
Thus electric field is inversely proportional to the cross sectional area of the plates and directly proportional to the charge in the plates.
We know that the charge stored in the parallel plate capacitor is given by,
Q=CxV
Where, C= capacitance.
E=V/d
Energy density =U
