Math Problem Statement
Solution
The problem in the image asks to calculate the potential difference (ΔV) between two plates, given the following parameters:
- Area of the plates:
- Separation distance:
- Charge moved from one plate to the other:
The plates form a parallel plate capacitor, and the potential difference between the plates is given by:
where:
- is the permittivity of free space: .
Now, let's calculate the potential difference using the given values.The potential difference (ΔV) between the two plates is approximately .
Would you like further details or have any questions?
Here are 5 related questions you may find interesting:
- How does increasing the separation distance between the plates affect the potential difference?
- What is the relationship between the electric field and the potential difference in a parallel plate capacitor?
- How would the potential difference change if the charge were doubled?
- What role does the permittivity of free space play in the calculation of capacitance?
- How can the capacitance of the plates be calculated from the given information?
Tip: For parallel plate capacitors, the potential difference is directly proportional to the distance between the plates and the charge on the plates.
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Math Problem Analysis
Mathematical Concepts
Electrostatics
Capacitors
Electric Potential Difference
Formulas
ΔV = Qd / (ε₀A)
Theorems
Coulomb's Law
Capacitor Potential Difference
Suitable Grade Level
Undergraduate (Physics/Electrical Engineering)
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