10. Calculate the total resistance RTOTAL Of the Series-Parallel circuit below where R1 = 40 x 103 Ohms, R2 = 40 x 103 Ohms, R3 = 20 x 103 Ohms, R4 = 20 x 10³ Ohms. R1 R2 R3 R4 11. Calculate the voltage when the resistance is 50 x 103 Ohms and the current is 25 x 10-3 Amps. 12. Calculate the current when the voltage is 5 Volts and the resistance is 5 x 106 Ohms.

Delmar's Standard Textbook Of Electricity
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Chapter29: Dc Generators
Section: Chapter Questions
Problem 5RQ: What are interpoles, and what is their purpose?
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**Series-Parallel Circuit Analysis**

**Question 10:**

Calculate the total resistance \( R_{\text{TOTAL}} \) of the Series-Parallel circuit below where:

- \( R1 = 40 \times 10^3 \) Ohms
- \( R2 = 40 \times 10^3 \) Ohms
- \( R3 = 20 \times 10^3 \) Ohms
- \( R4 = 20 \times 10^3 \) Ohms

**Circuit Diagram:**

The provided circuit is a combination of resistors arranged in both series and parallel configurations. 

- **R1** and **R2** are in series with each other.
- **R3** and **R4** are in parallel with each other, and this combination is in series with the \( R1 \text{ and } R2 \) series.

To find the total resistance of the circuit:

1. Calculate the total resistance of \( R3 \) and \( R4 \) in parallel:
   \[
   R_{\text{P}} = \left(\frac{1}{R3} + \frac{1}{R4}\right)^{-1} = \left(\frac{1}{20 \times 10^3} + \frac{1}{20 \times 10^3}\right)^{-1}
   \]
2. Calculate the total resistance by adding \( R1, R2, \text{ and } R_{\text{P}} \):
   \[
   R_{\text{TOTAL}} = R1 + R2 + R_{\text{P}}
   \]

**Question 11:**

Calculate the voltage when the resistance is \( 50 \times 10^3 \) Ohms and the current is \( 25 \times 10^{-3} \) Amps.

To find the voltage (\( V \)), use Ohm's Law:
\[
V = I \times R
\]
Where:
- \( I = 25 \times 10^{-3} \) Amps
- \( R = 50 \times 10^3 \) Ohms

**Question 12:**

Calculate the current when the voltage is 5 Volts and the resistance is \( 5 \times 10^6 \) Ohms.

To find the current (\( I \)), use Ohm's Law
Transcribed Image Text:**Series-Parallel Circuit Analysis** **Question 10:** Calculate the total resistance \( R_{\text{TOTAL}} \) of the Series-Parallel circuit below where: - \( R1 = 40 \times 10^3 \) Ohms - \( R2 = 40 \times 10^3 \) Ohms - \( R3 = 20 \times 10^3 \) Ohms - \( R4 = 20 \times 10^3 \) Ohms **Circuit Diagram:** The provided circuit is a combination of resistors arranged in both series and parallel configurations. - **R1** and **R2** are in series with each other. - **R3** and **R4** are in parallel with each other, and this combination is in series with the \( R1 \text{ and } R2 \) series. To find the total resistance of the circuit: 1. Calculate the total resistance of \( R3 \) and \( R4 \) in parallel: \[ R_{\text{P}} = \left(\frac{1}{R3} + \frac{1}{R4}\right)^{-1} = \left(\frac{1}{20 \times 10^3} + \frac{1}{20 \times 10^3}\right)^{-1} \] 2. Calculate the total resistance by adding \( R1, R2, \text{ and } R_{\text{P}} \): \[ R_{\text{TOTAL}} = R1 + R2 + R_{\text{P}} \] **Question 11:** Calculate the voltage when the resistance is \( 50 \times 10^3 \) Ohms and the current is \( 25 \times 10^{-3} \) Amps. To find the voltage (\( V \)), use Ohm's Law: \[ V = I \times R \] Where: - \( I = 25 \times 10^{-3} \) Amps - \( R = 50 \times 10^3 \) Ohms **Question 12:** Calculate the current when the voltage is 5 Volts and the resistance is \( 5 \times 10^6 \) Ohms. To find the current (\( I \)), use Ohm's Law
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