Find the maximum potential difference between two parallel conducting plates separated by 0.5 cm of air, given the maximum sustainable electric field strength in air to be 3.0 × 106 V/m. Hint The maximum potential difference between them is V.
Find the maximum potential difference between two parallel conducting plates separated by 0.5 cm of air, given the maximum sustainable electric field strength in air to be 3.0 × 106 V/m. Hint The maximum potential difference between them is V.
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![**Problem Statement**
Find the maximum potential difference between two parallel conducting plates separated by 0.5 cm of air, given the maximum sustainable electric field strength in air to be \(3.0 \times 10^6 \, \text{V/m}\).
**Solution**
The formula to find the potential difference (\(V\)) is:
\[
V = E \times d
\]
where \(E\) is the electric field strength, and \(d\) is the distance between the plates.
Given:
- \(E = 3.0 \times 10^6 \, \text{V/m}\)
- \(d = 0.5 \, \text{cm} = 0.005 \, \text{m}\)
Calculate \(V\):
\[
V = 3.0 \times 10^6 \, \text{V/m} \times 0.005 \, \text{m} = 15000 \, \text{V}
\]
Thus, the maximum potential difference between the plates is 15,000 V.
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Transcribed Image Text:**Problem Statement**
Find the maximum potential difference between two parallel conducting plates separated by 0.5 cm of air, given the maximum sustainable electric field strength in air to be \(3.0 \times 10^6 \, \text{V/m}\).
**Solution**
The formula to find the potential difference (\(V\)) is:
\[
V = E \times d
\]
where \(E\) is the electric field strength, and \(d\) is the distance between the plates.
Given:
- \(E = 3.0 \times 10^6 \, \text{V/m}\)
- \(d = 0.5 \, \text{cm} = 0.005 \, \text{m}\)
Calculate \(V\):
\[
V = 3.0 \times 10^6 \, \text{V/m} \times 0.005 \, \text{m} = 15000 \, \text{V}
\]
Thus, the maximum potential difference between the plates is 15,000 V.
**Interface Features**
- **Hint Button**: Provides guidance or tips for solving the problem.
- **Message Instructor Link**: Allows students to contact the instructor for further assistance.
- **Submit Question Button**: Enables users to submit their answers for evaluation.
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