A parallel-plate capacitor has a plate separation of 3.0 mm and a potential difference of 300 V between the plates. What is the electric field strength inside the capacitor?

Study for the UCF PHY2054 General Physics Exam. Use flashcards and multiple-choice questions complete with hints and explanations. Boost your understanding and get exam-ready!

Multiple Choice

A parallel-plate capacitor has a plate separation of 3.0 mm and a potential difference of 300 V between the plates. What is the electric field strength inside the capacitor?

Explanation:
Between the plates, the electric field is essentially uniform and given by E = V/d. With a potential difference of 300 V and a plate separation of 3.0 mm (3.0 × 10^-3 m), the field is E = 300 / (3.0 × 10^-3) = 1.0 × 10^5 V/m. So the electric field inside is 1×10^5 V/m, directed from the positive plate toward the negative plate. The other numbers would require different separation or voltage, so they don’t match the given values.

Between the plates, the electric field is essentially uniform and given by E = V/d. With a potential difference of 300 V and a plate separation of 3.0 mm (3.0 × 10^-3 m), the field is E = 300 / (3.0 × 10^-3) = 1.0 × 10^5 V/m. So the electric field inside is 1×10^5 V/m, directed from the positive plate toward the negative plate. The other numbers would require different separation or voltage, so they don’t match the given values.

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