Questions: RT = k Ω a. 8 b. 902 c. 9028021

Transcript text: \[ \mathrm{R}_{\mathrm{T}}=\quad \mathrm{k} \Omega \] a. 8 b. 902 c. 9028021

Solution

Step 1: Identify the Resistors and Their Values

The circuit contains three resistors: \( R_1 = 800 \, \Omega \), \( R_2 = 1.2 \, k\Omega \), and \( R_3 = 0.9 \, M\Omega \).

Step 2: Convert All Resistor Values to the Same Unit

Convert \( R_2 \) and \( R_3 \) to ohms:
- \( R_2 = 1.2 \, k\Omega = 1200 \, \Omega \)
- \( R_3 = 0.9 \, M\Omega = 900,000 \, \Omega \)

Step 3: Determine the Configuration of the Resistors

Step 4: Calculate the Total Resistance for Series Resistors

For resistors in series, the total resistance \( R_T \) is the sum of the individual resistances: \[ R_T = R_1 + R_2 + R_3 \] \[ R_T = 800 \, \Omega + 1200 \, \Omega + 900,000 \, \Omega \] \[ R_T = 902,000 \, \Omega \]

Step 5: Convert the Total Resistance to kΩ

Convert \( R_T \) to \( k\Omega \): \[ R_T = 902,000 \, \Omega = 902 \, k\Omega \]

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