An `L-C` circuit consists of a `20.0 mH` inductor and a `0.5 muF` capacitor. If the maximum instantaneous current is `0.1 A`, what is the greatest potential difference across the capacitor?

Explanation

To solve the problem, we need to find the greatest potential difference across the capacitor in an L-C circuit consisting of a 20.0 mH inductor and a 0.5 µF capacitor, given that the maximum instantaneous current is 0.1 A.

### Step-by-Step Solution:

1. **Identify the Formula for Maximum Voltage:**
The maximum voltage across the capacitor (V_max) in an L-C circuit can be derived from the relationship between the maximum current (I_max), inductance (L), and capacitance (C). The formula is:
\[
V_{\text{max}} = I_{\text{max}} \sqrt{\frac{L}{C}}
...