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Solved: A 5.00-pF, parallel-plate, air-filled capacitor
Chapter 24, Problem 8E(choose chapter or problem)
Problem 8E
A 5.00-pF, parallel-plate, air-filled capacitor with circular plates is to be used in a circuit in which it will be subjected to potentials of up to 1.00 X 102 V. The electric field between the plates is to be no greater than 1.00 X 104 N/C. As a budding electrical engineer for Live-Wire Electronics, your tasks are to (a) design the capacitor by finding what its physical dimensions and separation must be; (b) find the maximum charge these plates can hold.
Questions & Answers
QUESTION:
Problem 8E
A 5.00-pF, parallel-plate, air-filled capacitor with circular plates is to be used in a circuit in which it will be subjected to potentials of up to 1.00 X 102 V. The electric field between the plates is to be no greater than 1.00 X 104 N/C. As a budding electrical engineer for Live-Wire Electronics, your tasks are to (a) design the capacitor by finding what its physical dimensions and separation must be; (b) find the maximum charge these plates can hold.
ANSWER:
Solution to 8E
Step 1:
Electric field is the negative gradient of the potential difference.
E=(V/d)
The charge in a parallel plate capacitor Q=CV