https://file.aiquickdraw.com/mathbot/file/172729298016760h1ucuy.jpg

The problem asks to calculate the charge on the plates of a capacitor, given the following information:

- The capacitor is under a voltage of \( 10 \, V \),
- The energy released during its discharge is \( 0.5 \, J \).

We can use the formula for the energy stored in a capacitor:

\[
E = \frac{1}{2} C V^2
\]

where:
- \( E \) is the energy (\( 0.5 \, J \)),
- \( C \) is the capacitance,
- \( V \) is the voltage (\( 10 \, V \)).

Rearranging the formula to solve for the capacitance \( C \):

\[
C = \frac{2E}{V^2}
\]

Once we find the capacitance, we can use the formula for the charge on a capacitor:

\[
Q = C \cdot V
\]

Let's calculate the charge \( Q \).The charge on the plates of the capacitor is \( 0.1 \, C \) (Coulombs).

Do you want more details or have any questions?

Here are 5 related questions to expand on this concept:
1. How does the capacitance change if the voltage is doubled while keeping the energy constant?
2. What happens to the charge on a capacitor if the voltage across it is halved?
3. How can the energy stored in a capacitor be increased without changing the voltage?
4. What is the relationship between capacitance and the physical dimensions of the capacitor?
5. How does the energy stored in a capacitor compare to the energy in an inductor?

**Tip:** The energy stored in a capacitor is proportional to the square of the voltage across it, meaning small changes in voltage can significantly affect the stored energy.

Обчисліть заряд на обкладках конденсатора, що перебував під напругою 10 В, якщо при його розрядженні виділилася енергія 0,5 Дж.

Learn how to calculate the charge on the plates of a capacitor with a voltage of 10V and energy release of 0.5J during discharge. The solution involves key formulas related to capacitance, energy, and charge, suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation