Question
The electric field between two parallel plates has a magnitude of 875 N/C. The positive plate is 0.002 m away from the negative plate.
What is the electric potential difference between the plates?
2.3 × 10-6 V
1.8 × 100 V
8.8 × 102 V
4.4 × 104 V
What is the electric potential difference between the plates?
2.3 × 10-6 V
1.8 × 100 V
8.8 × 102 V
4.4 × 104 V
Answers
GPT-4o mini
To find the electric potential difference (\( V \)) between two parallel plates, you can use the formula:
\[
V = E \cdot d
\]
where:
- \( V \) is the electric potential difference,
- \( E \) is the electric field magnitude,
- \( d \) is the distance between the plates.
Given:
- \( E = 875 \, \text{N/C} \)
- \( d = 0.002 \, \text{m} \)
Now, substituting the values into the equation:
\[
V = 875 \, \text{N/C} \times 0.002 \, \text{m} = 1.75 \, \text{V}
\]
Thus, the electric potential difference between the plates is \( 1.75 \, \text{V} \).
Looking at the provided options:
- \( 2.3 \times 10^{-6} \, V \)
- \( 1.8 \times 100 \, V \) (which equals \( 180 \, V \))
- \( 8.8 \times 10^2 \, V \) (which equals \( 880 \, V \))
- \( 4.4 \times 10^4 \, V \) (which equals \( 44000 \, V \))
None of these values match the calculated potential difference of \( 1.75 \, V \). It seems there is a mismatch between the calculated value and the given options. If you need to find a different answer or have other parameters, please let me know!
\[
V = E \cdot d
\]
where:
- \( V \) is the electric potential difference,
- \( E \) is the electric field magnitude,
- \( d \) is the distance between the plates.
Given:
- \( E = 875 \, \text{N/C} \)
- \( d = 0.002 \, \text{m} \)
Now, substituting the values into the equation:
\[
V = 875 \, \text{N/C} \times 0.002 \, \text{m} = 1.75 \, \text{V}
\]
Thus, the electric potential difference between the plates is \( 1.75 \, \text{V} \).
Looking at the provided options:
- \( 2.3 \times 10^{-6} \, V \)
- \( 1.8 \times 100 \, V \) (which equals \( 180 \, V \))
- \( 8.8 \times 10^2 \, V \) (which equals \( 880 \, V \))
- \( 4.4 \times 10^4 \, V \) (which equals \( 44000 \, V \))
None of these values match the calculated potential difference of \( 1.75 \, V \). It seems there is a mismatch between the calculated value and the given options. If you need to find a different answer or have other parameters, please let me know!