Two resistors connected in series have an equivalent resistance of 813.6 Q. When they are connected in parallel, their equivalent resistance is 123 N. Find the resistance of each resistor. X n (small resistance) 2 (large resistance)

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**Problem Statement:**

Two resistors connected in series have an equivalent resistance of 813.6 Ω. When they are connected in parallel, their equivalent resistance is 123 Ω. Find the resistance of each resistor.

**Inputs:**

- (small resistance) Ω 
- (large resistance) Ω 

**Explanation:**

- The series connection total resistance is the sum of both resistors: \(R_1 + R_2 = 813.6 \, \Omega\).
- The parallel connection total resistance is given: \(\frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{123} \, \Omega\).

**Hints:**

1. Use the formula for series resistance: \(R_{\text{series}} = R_1 + R_2\).
2. Use the formula for parallel resistance: \(\frac{1}{R_{\text{parallel}}} = \frac{1}{R_1} + \frac{1}{R_2}\).
3. Solve these equations to find \(R_1\) and \(R_2\).

**Input Boxes:**

- Ω (small resistance) 
- Ω (large resistance) 

**Status:**

- Incorrect (as indicated by the red cross next to the first input box).
Transcribed Image Text:**Problem Statement:** Two resistors connected in series have an equivalent resistance of 813.6 Ω. When they are connected in parallel, their equivalent resistance is 123 Ω. Find the resistance of each resistor. **Inputs:** - (small resistance) Ω - (large resistance) Ω **Explanation:** - The series connection total resistance is the sum of both resistors: \(R_1 + R_2 = 813.6 \, \Omega\). - The parallel connection total resistance is given: \(\frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{123} \, \Omega\). **Hints:** 1. Use the formula for series resistance: \(R_{\text{series}} = R_1 + R_2\). 2. Use the formula for parallel resistance: \(\frac{1}{R_{\text{parallel}}} = \frac{1}{R_1} + \frac{1}{R_2}\). 3. Solve these equations to find \(R_1\) and \(R_2\). **Input Boxes:** - Ω (small resistance) - Ω (large resistance) **Status:** - Incorrect (as indicated by the red cross next to the first input box).
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