Determine the total resistance. b). Determine the current through the 25 ohm resistor. c). Which resistor is the hottest (Hint, most current flow)? d). Which resistor is the Coolest

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Refer to the figure below to answer the following questions. a) Determine the total resistance. b). Determine the current through the 25 ohm resistor. c). Which resistor is the hottest (Hint, most current flow)? d). Which resistor is the Coolest?
**Series-Parallel Circuit Analysis**

The image depicts a combination series-parallel circuit with a connected voltage source. Here's the detailed description of the circuit components and organization:

1. **Voltage Source:** 
   - A 25-volt (25V) source is used.
   - The positive terminal is labeled with a `+`.

2. **Resistors:**
   - **Series Connection:**
     - The first resistor directly connected to the voltage source has a resistance of 25 ohms (Ω).
     - The second resistor in series with the first one is 30 ohms (Ω).
   
   - **Parallel Connection:**
     - After the 30-ohm resistor, the circuit branches into two parallel paths:
       - One branch has a 10-ohm (Ω) resistor.
       - The other branch has a 40-ohm (Ω) resistor.
     - These two branches converge back into a single path.
     - After the parallel section, a 20-ohm (Ω) resistor is connected back in series, which returns to the negative terminal of the voltage source.

### Circuit Layout Summary:
- The 25V power source is connected to a series arrangement of three resistors (25Ω, 30Ω).
- Post the 30Ω resistor, the circuit splits into two parallel branches: one with a 10Ω resistor and the other with a 40Ω resistor.
- After the parallel connections, the circuit reconverges to a single path, including a 20Ω resistor, which then connects back to the negative terminal of the voltage source.

**Note for students:**
In analyses, you would simplify this circuit by calculating the equivalent resistance of the parallel resistors first (10Ω and 40Ω), then adding this to the series resistors to find the total resistance of the circuit. From there, you can determine the total current and voltage drops across each resistor using Ohm's Law.
Transcribed Image Text:**Series-Parallel Circuit Analysis** The image depicts a combination series-parallel circuit with a connected voltage source. Here's the detailed description of the circuit components and organization: 1. **Voltage Source:** - A 25-volt (25V) source is used. - The positive terminal is labeled with a `+`. 2. **Resistors:** - **Series Connection:** - The first resistor directly connected to the voltage source has a resistance of 25 ohms (Ω). - The second resistor in series with the first one is 30 ohms (Ω). - **Parallel Connection:** - After the 30-ohm resistor, the circuit branches into two parallel paths: - One branch has a 10-ohm (Ω) resistor. - The other branch has a 40-ohm (Ω) resistor. - These two branches converge back into a single path. - After the parallel section, a 20-ohm (Ω) resistor is connected back in series, which returns to the negative terminal of the voltage source. ### Circuit Layout Summary: - The 25V power source is connected to a series arrangement of three resistors (25Ω, 30Ω). - Post the 30Ω resistor, the circuit splits into two parallel branches: one with a 10Ω resistor and the other with a 40Ω resistor. - After the parallel connections, the circuit reconverges to a single path, including a 20Ω resistor, which then connects back to the negative terminal of the voltage source. **Note for students:** In analyses, you would simplify this circuit by calculating the equivalent resistance of the parallel resistors first (10Ω and 40Ω), then adding this to the series resistors to find the total resistance of the circuit. From there, you can determine the total current and voltage drops across each resistor using Ohm's Law.
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