Math Problem Statement
The electric field strength between two parallel conducting plates separated by 3.25 cm is 7.4 × 104 V/m.
What is the potential difference between the plates, in kilovolts?
Solution
The potential difference () between two parallel plates can be calculated using the formula:
where:
- V/m (electric field strength)
- cm m (separation distance, converted to meters)
Now, calculating:
Final Answer:
The potential difference between the plates is 2.41 kV (rounded to three significant figures).
Would you like a step-by-step breakdown of the calculation?
Related Questions:
- What happens to the potential difference if the plate separation is doubled?
- How would the electric field strength change if the potential difference remains constant but the distance is halved?
- What is the force experienced by a charge of C placed between the plates?
- If the plates are in a vacuum, does the medium affect the electric field strength?
- How does inserting a dielectric between the plates affect the potential difference?
Tip:
Always convert units to SI before substituting values into equations to avoid calculation errors!
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Math Problem Analysis
Mathematical Concepts
Electric Fields
Potential Difference
Basic Unit Conversion
Formulas
V = E * d
Theorems
Ohm's Law for Electric Fields
Suitable Grade Level
Grades 10-12
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