1) Determine the magnitude of the potential difference, ∆{Vab}, for the circuit in the figure below.   Note that each battery has an internal resistance, R1 = 1.80 ohm, R2 = 7.50 ohm, R3 = 2.80 ohm, R4 = 4.90 ohm, R5 = 6.00 ohm, R6 = 3.70 ohm  and R7 = 1.30 ohm. Assume that E1 = 16.0 V and E4 = 10.0 V and E6 = 39.0 V, as indicated in the figure.   2) If points a and b are connected by a R8 = 7.10 ohm resistor, what is the magnitude of the current through this resistor?

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1) Determine the magnitude of the potential difference, ∆{Vab}, for the circuit in the figure below.



  Note that each battery has an internal resistance, R1 = 1.80 ohm, R2 = 7.50 ohm, R3 = 2.80 ohm, R4 = 4.90 ohm, R5 = 6.00 ohm, R6 = 3.70 ohm  and R7 = 1.30 ohm. Assume that E1 = 16.0 V and E4 = 10.0 V and E6 = 39.0 V, as indicated in the figure.

 

2) If points a and b are connected by a R8 = 7.10 ohm resistor, what is the magnitude of the current through this resistor?

The image is a schematic diagram of an electrical circuit. Here's a detailed description:

1. **Voltage Sources (ε):**
   - **ε1:** Positioned at the top left, connected in series with a resistor R1. The voltage source is oriented with the positive terminal on the left side.
   - **ε4:** Located in the middle section, connected in series with a resistor R4. The voltage source has its negative terminal directed upwards.
   - **ε6:** Found at the bottom part, connected in series with a resistor R6. The voltage source is oriented with the negative terminal on the top side.

2. **Resistors (R):**
   - **R1:** Connected directly in series with ε1.
   - **R2:** Positioned horizontally to the right of ε1 and R1.
   - **R3:** Located vertically on the right side of the diagram, connecting points a and b.
   - **R4:** In series with ε4, located vertically.
   - **R5:** Positioned below ε4 and R4, extending horizontally.
   - **R6:** Connected in series with ε6, oriented vertically.
   - **R7:** Placed horizontally beneath R5, connecting to the bottom left side of the circuit.

3. **Nodes:**
   - **Node a:** Located between ε4, R4, and R3.
   - **Node b:** Positioned to the right of node a, connected to R3.

This circuit diagram illustrates how various components such as voltage sources and resistors are interconnected to form a complete circuit. The nodes a and b serve as junction points for the connections, allowing for the distribution of electrical paths.
Transcribed Image Text:The image is a schematic diagram of an electrical circuit. Here's a detailed description: 1. **Voltage Sources (ε):** - **ε1:** Positioned at the top left, connected in series with a resistor R1. The voltage source is oriented with the positive terminal on the left side. - **ε4:** Located in the middle section, connected in series with a resistor R4. The voltage source has its negative terminal directed upwards. - **ε6:** Found at the bottom part, connected in series with a resistor R6. The voltage source is oriented with the negative terminal on the top side. 2. **Resistors (R):** - **R1:** Connected directly in series with ε1. - **R2:** Positioned horizontally to the right of ε1 and R1. - **R3:** Located vertically on the right side of the diagram, connecting points a and b. - **R4:** In series with ε4, located vertically. - **R5:** Positioned below ε4 and R4, extending horizontally. - **R6:** Connected in series with ε6, oriented vertically. - **R7:** Placed horizontally beneath R5, connecting to the bottom left side of the circuit. 3. **Nodes:** - **Node a:** Located between ε4, R4, and R3. - **Node b:** Positioned to the right of node a, connected to R3. This circuit diagram illustrates how various components such as voltage sources and resistors are interconnected to form a complete circuit. The nodes a and b serve as junction points for the connections, allowing for the distribution of electrical paths.
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