Step 1: Apply Kirchhoff’s laws.- Using the given circuit, calculate the currents and potential drops across C1 and C2.- The ratio is determined as:
$\frac{V_{C1}}{V_{C2}} = \frac{4}{5}$.
Final Answer: The ratio of potential differences is $\frac{4}{5}$
Let $ P_n = \alpha^n + \beta^n $, $ n \in \mathbb{N} $. If $ P_{10} = 123,\ P_9 = 76,\ P_8 = 47 $ and $ P_1 = 1 $, then the quadratic equation having roots $ \alpha $ and $ \frac{1}{\beta} $ is: