Determine: the current and voltage across each load. Μ 35 V Μ 14 Ω Μ 10 Ω ξαναξιά 12 Ω 18 Ω
Determine: the current and voltage across each load. Μ 35 V Μ 14 Ω Μ 10 Ω ξαναξιά 12 Ω 18 Ω
Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Russell E. Smith
Chapter11: Thermostats, Pressure Switches, And Other Electric Control Devices
Section: Chapter Questions
Problem 6RQ: True or False: A bimetal is a combination of two pieces of metal that are welded together, each with...
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combination circuit
Current?
voltage across each load ?
![**Educational Content:**
**Task:** Determine the current and voltage across each load.
**Circuit Description:**
The circuit is powered by a 35V voltage source. It consists of four resistors arranged as follows:
- A 14Ω resistor and a 10Ω resistor are connected in series.
- A 12Ω resistor and an 18Ω resistor are connected in parallel to each other. This parallel combination is connected in series with the 14Ω and the 10Ω resistors.
To solve for the current and voltage across each load, follow these steps:
1. **Equivalent Resistance of Parallel Resistors:**
- For the 12Ω and 18Ω resistors in parallel:
\[
\frac{1}{R_{\text{parallel}}} = \frac{1}{12} + \frac{1}{18}
\]
2. **Total Resistance:**
- Add the equivalent resistance of the parallel resistors to the series resistors (14Ω and 10Ω).
3. **Use Ohm's Law:**
- Calculate the total current using \( V = I \times R \).
- \( I = \frac{V}{R_{\text{total}}} \)
4. **Voltage Across Each Load:**
- Calculate the voltage drop across each resistor using \( V = I \times R \).
- For parallel resistors, use the same current to find individual voltages.
This method will help determine the current through and voltage across each resistor within the circuit.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45694c89-08dc-4cba-91a1-85b08f29da35%2Fce954613-a3d0-4abf-bd4d-3e85338b6b92%2Fg6wx5m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Content:**
**Task:** Determine the current and voltage across each load.
**Circuit Description:**
The circuit is powered by a 35V voltage source. It consists of four resistors arranged as follows:
- A 14Ω resistor and a 10Ω resistor are connected in series.
- A 12Ω resistor and an 18Ω resistor are connected in parallel to each other. This parallel combination is connected in series with the 14Ω and the 10Ω resistors.
To solve for the current and voltage across each load, follow these steps:
1. **Equivalent Resistance of Parallel Resistors:**
- For the 12Ω and 18Ω resistors in parallel:
\[
\frac{1}{R_{\text{parallel}}} = \frac{1}{12} + \frac{1}{18}
\]
2. **Total Resistance:**
- Add the equivalent resistance of the parallel resistors to the series resistors (14Ω and 10Ω).
3. **Use Ohm's Law:**
- Calculate the total current using \( V = I \times R \).
- \( I = \frac{V}{R_{\text{total}}} \)
4. **Voltage Across Each Load:**
- Calculate the voltage drop across each resistor using \( V = I \times R \).
- For parallel resistors, use the same current to find individual voltages.
This method will help determine the current through and voltage across each resistor within the circuit.
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