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 ?
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 ?
College Physics
11th Edition
ISBN:9781305952300
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Publisher:Raymond A. Serway, Chris Vuille
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23. 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 ?

Transcribed Image Text:### Electrical Circuit Diagram
**Description:**
This diagram represents an electrical circuit consisting of a power source and resistors arranged in a combination of series and parallel configurations.
**Components:**
1. **Power Source (Battery):**
- Voltage: 25 V, denoted by the symbol with positive (+) and negative (-) terminals
2. **Resistors:**
- Resistor 1: 25.0 Ω (Ohms)
- Resistor 2: 30.0 Ω (Ohms)
- Resistor 3: 20.0 Ω (Ohms)
- Resistor 4: 10.0 Ω (Ohms)
- Resistor 5: 40.0 Ω (Ohms)
**Arrangement:**
- Resistor 1 (25.0 Ω) and Resistor 2 (30.0 Ω) are connected in series with the power source.
- Resistor 3 (20.0 Ω) is also in series with the power source.
- Resistors 4 (10.0 Ω) and 5 (40.0 Ω) are connected in parallel with each other.
- This parallel arrangement is connected in series with the power source and the other resistors.
### Explanation
- **Series Circuit:** All components are connected end-to-end, forming a single path for the current flow. The total resistance \(R_{total}\) in a series circuit is the sum of the individual resistances.
- **Parallel Circuit:** Components are connected across the same two points, forming branches. The total resistance in a parallel circuit can be calculated using \(\frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + ... + \frac{1}{R_n}\).
In this diagram:
1. The total resistance of the circuit needs to be calculated by considering the series and parallel configurations.
2. The current flowing through each component can be determined using Ohm's Law \(V = IR\).
This basic circuit diagram is useful for understanding the principles of combining resistances in series and parallel circuits and applying Ohm's Law to complex circuits.
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