How strong is the electric field inside a 0.90F air-gap capacitor if the plate separation is 3.0mm and it has a charge of 75C?
*   2.6 × 103 Y
*   3.0 × 105 У
*   3.0 × 108 V
*   2.8 × 104 Y

To find the electric field \( E \) inside an air-gap capacitor, we can use the relationship between the electric field, the voltage \( V \), and the separation \( d \) of the plates:

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

First, we need to determine the voltage \( V \) across the capacitor plates. The capacitance \( C \), charge \( Q \), and voltage \( V \) are related by the formula:

\[ Q = C \cdot V \]

Rearranging for \( V \):

\[ V = \frac{Q}{C} \]

Given:
- Capacitance \( C = 0.90 \, \text{F} \)
- Charge \( Q = 75 \, \text{C} \)
- Plate separation \( d = 3.0 \, \text{mm} = 3.0 \times 10^{-3} \, \text{m} \)

First, calculate the voltage \( V \):

\[ V = \frac{75 \, \text{C}}{0.90 \, \text{F}} = 83.33 \, \text{V} \]

Next, calculate the electric field \( E \):

\[ E = \frac{83.33 \, \text{V}}{3.0 \times 10^{-3} \, \text{m}} = 2.78 \times 10^4 \, \text{V/m} \]

So, the electric field inside the capacitor is:

\[ E = 2.8 \times 10^4 \, \text{V/m} \]

The correct answer from the given options is:

* 2.8 × 10^4 Y

Do you want more details or have any questions?

Here are five questions you might ask next:
1. How do you calculate the energy stored in a capacitor?
2. What is the relationship between electric field and potential difference?
3. How does the dielectric constant affect a capacitor?
4. What is the formula for the capacitance of a parallel plate capacitor?
5. How does plate area affect the capacitance of a capacitor?

Tip: When dealing with capacitors, always ensure the units are consistent, especially for the separation distance and voltage.

Learn how to calculate the electric field inside a 0.90F air-gap capacitor with a plate separation of 3.0mm and a charge of 75C. Follow a detailed step-by-step solution using the capacitance formula and electric field formula. Suitable for advanced high school students studying physics and electrical engineering concepts.

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