Question:

Please convert the below content to rendered equations without any errors.Let’s solve it **step by step** ? --- ### **Step 1: Understand the circuit** From the diagram: * ( R_1 = 1,\text{k}\Omega ) * ( R_2 = 2,\text{k}\Omega ) * ( R_3 = 3,\text{k}\Omega ) All three resistors are connected **between the same top rail and bottom rail** → ✅ They are **in parallel**. --- ### **Step 2: Write the parallel resistance formula** For resistors in parallel: [ \frac{1}{R_\text{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} ] --- ### **Step 3: Substitute values (in ohms)** [ \frac{1}{R_\text{eq}} = \frac{1}{1000} + \frac{1}{2000} + \frac{1}{3000} ] Take LCM = 6000: [ \frac{1}{R_\text{eq}} = \frac{6 + 3 + 2}{6000} ] [ \frac{1}{R_\text{eq}} = \frac{11}{6000} ] --- ### **Step 4: Invert to get equivalent resistance** [ R_\text{eq} = \frac{6000}{11} ] [ R_\text{eq} \approx 545 ,\Omega ] --- ### ✅ **Final Answer** **Total resistance = 545 Ω** ✔️ Correct option: **545 Ohms**