(a) Find the equivalent resistance looking in from points a and b. In other words, express the resistive network in the dashed box as one resistor.

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**Learning Goal:** The objective of this problem is to practice finding the equivalent to a series/parallel combination of resistors.

(a) Find the equivalent resistance looking in from points \( a \) and \( b \). In other words, express the resistive network in the dashed box as one resistor.

- **Diagram:**
  - The diagram shows a dashed box containing two resistors in parallel.
  - The first resistor has a resistance of \( 5R \).
  - The second resistor has a resistance of \( 3R \).
  - The resistors are connected between points \( a \) and \( b \).

(b) Find the equivalent resistance looking in from points \( a \) and \( b \). In other words, express the resistive network in the dashed box as one resistor.

- **Diagram:**
  - The diagram contains a dashed box with a more complex resistor network.
  - There are three resistors:
    - Two resistors with a resistance of \( 2R \) each connected in parallel on the left side.
    - One resistor with a resistance of \( R \) connected in series internally between the two parallel resistors.
    - One resistor with a resistance of \( 3R \) connected in parallel to the \( R \) resistor on the right side.
  - The arrangement is connected between points \( a \) and \( b \).

(c) Find the equivalent resistance looking in from points \( a \) and \( b \). In other words, express the resistive network in the dashed box as one resistor.

- **Diagram:**
  - The final diagram presents a dashed box with a series of resistors.
  - There are four resistors:
    - Two resistors each with a resistance of \( 2R \) connected in series on the left.
    - Two resistors each with a resistance of \( R \) connected in series in the middle.
    - One resistor with a resistance of \( 4R \) connected at the far right.
  - This linear arrangement is connected between points \( a \) and \( b \).
Transcribed Image Text:**Learning Goal:** The objective of this problem is to practice finding the equivalent to a series/parallel combination of resistors. (a) Find the equivalent resistance looking in from points \( a \) and \( b \). In other words, express the resistive network in the dashed box as one resistor. - **Diagram:** - The diagram shows a dashed box containing two resistors in parallel. - The first resistor has a resistance of \( 5R \). - The second resistor has a resistance of \( 3R \). - The resistors are connected between points \( a \) and \( b \). (b) Find the equivalent resistance looking in from points \( a \) and \( b \). In other words, express the resistive network in the dashed box as one resistor. - **Diagram:** - The diagram contains a dashed box with a more complex resistor network. - There are three resistors: - Two resistors with a resistance of \( 2R \) each connected in parallel on the left side. - One resistor with a resistance of \( R \) connected in series internally between the two parallel resistors. - One resistor with a resistance of \( 3R \) connected in parallel to the \( R \) resistor on the right side. - The arrangement is connected between points \( a \) and \( b \). (c) Find the equivalent resistance looking in from points \( a \) and \( b \). In other words, express the resistive network in the dashed box as one resistor. - **Diagram:** - The final diagram presents a dashed box with a series of resistors. - There are four resistors: - Two resistors each with a resistance of \( 2R \) connected in series on the left. - Two resistors each with a resistance of \( R \) connected in series in the middle. - One resistor with a resistance of \( 4R \) connected at the far right. - This linear arrangement is connected between points \( a \) and \( b \).
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