Power of Electrical Circuit: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Power of Electrical Circuit. Understanding the underlying formula is key to arriving at the correct answer below:

Power $P = \frac{V^2}{R}$, which implies $R \propto V^2$ for the same power. Thus, $\frac{R_{\text{USA}}}{R_{\text{India}}} = (\frac{110}{220})^2 = \frac{1}{4}$, yielding $R_{\text{USA}} = \frac{R}{4}$.