6. (I) How strong is the electric field between two parallel plates 6.8 mm apart if the potential difference between them is 220 V?

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Chapter8: Capacitance
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Problem 64AP: A capacitor is made from two flat parallel plates placed 0.40 mm apart. When a charge of 0.020C is...
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### Problem 6
**Question**: How strong is the electric field between two parallel plates 6.8 mm apart if the potential difference between them is 220 V?

### Explanation
To find the strength of the electric field (E) between two parallel plates, we can use the formula:

\[ E = \frac{V}{d} \]

where:
- \( E \) is the electric field strength (measured in volts per meter, V/m),
- \( V \) is the potential difference between the plates (measured in volts, V),
- \( d \) is the separation between the plates (measured in meters, m).

Given:
- \( V = 220 \) V
- \( d = 6.8 \) mm = \( 6.8 \times 10^{-3} \) m

Substitute the given values into the formula:

\[ E = \frac{220 \text{ V}}{6.8 \times 10^{-3} \text{ m}} \]

Calculate the result:

\[ E = \frac{220}{0.0068} \text{ V/m} \]
\[ E \approx 32,353 \text{ V/m} \]

So, the strength of the electric field between the plates is approximately 32,353 volts per meter (V/m).
Transcribed Image Text:### Problem 6 **Question**: How strong is the electric field between two parallel plates 6.8 mm apart if the potential difference between them is 220 V? ### Explanation To find the strength of the electric field (E) between two parallel plates, we can use the formula: \[ E = \frac{V}{d} \] where: - \( E \) is the electric field strength (measured in volts per meter, V/m), - \( V \) is the potential difference between the plates (measured in volts, V), - \( d \) is the separation between the plates (measured in meters, m). Given: - \( V = 220 \) V - \( d = 6.8 \) mm = \( 6.8 \times 10^{-3} \) m Substitute the given values into the formula: \[ E = \frac{220 \text{ V}}{6.8 \times 10^{-3} \text{ m}} \] Calculate the result: \[ E = \frac{220}{0.0068} \text{ V/m} \] \[ E \approx 32,353 \text{ V/m} \] So, the strength of the electric field between the plates is approximately 32,353 volts per meter (V/m).
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