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Questions and Answers
Using the voltage division formula, what is the voltage $v_0$ across the 30Ω resistor in the given circuit?
Using the voltage division formula, what is the voltage $v_0$ across the 30Ω resistor in the given circuit?
The equivalent resistance of the 40Ω, 10Ω, and 30Ω resistors in series is 80Ω.
The equivalent resistance of the 40Ω, 10Ω, and 30Ω resistors in series is 80Ω.
True
What is the primary purpose of the voltage division equation?
What is the primary purpose of the voltage division equation?
To determine the voltage across a specific resistor in a series circuit.
The voltage drop across the branch containing the 40Ω, 10Ω, and 30Ω resistors in series is represented as _____ (v).
The voltage drop across the branch containing the 40Ω, 10Ω, and 30Ω resistors in series is represented as _____ (v).
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Match the following concepts with their descriptions:
Match the following concepts with their descriptions:
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What value of $R_2$ is used to obtain the maximum value of $v_0$?
What value of $R_2$ is used to obtain the maximum value of $v_0$?
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The minimum value of $v_0$ is found by increasing the values of both resistors.
The minimum value of $v_0$ is found by increasing the values of both resistors.
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What is the maximum voltage $v_0$ obtained under the given conditions?
What is the maximum voltage $v_0$ obtained under the given conditions?
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The total equivalent resistance of the parallel resistors is _____.
The total equivalent resistance of the parallel resistors is _____.
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What is the value of the current ($i_6Ω$) through the 6 Ω resistor?
What is the value of the current ($i_6Ω$) through the 6 Ω resistor?
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The power dissipated in the 6 Ω resistor is calculated using the formula P = $i^2 R$.
The power dissipated in the 6 Ω resistor is calculated using the formula P = $i^2 R$.
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Match the value with its corresponding description:
Match the value with its corresponding description:
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In the current-divider circuit, the voltage across the parallel resistors is constant and equal to _____.
In the current-divider circuit, the voltage across the parallel resistors is constant and equal to _____.
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What is the primary function of a resistive touch screen?
What is the primary function of a resistive touch screen?
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In a series circuit, the current is the same through all components.
In a series circuit, the current is the same through all components.
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What law is applied to find the equivalent resistance of resistors in series?
What law is applied to find the equivalent resistance of resistors in series?
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In a parallel circuit, the voltage across each resistor is ______.
In a parallel circuit, the voltage across each resistor is ______.
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Which of the following equations represents the total current ($i_s$) for resistors in parallel?
Which of the following equations represents the total current ($i_s$) for resistors in parallel?
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Match the following terms with their definitions:
Match the following terms with their definitions:
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The voltage across each resistor in a voltage divider circuit is directly proportional to its resistance.
The voltage across each resistor in a voltage divider circuit is directly proportional to its resistance.
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What is the equivalent resistance ($R_{eq}$) for a 3Ω and a 6Ω resistor in series?
What is the equivalent resistance ($R_{eq}$) for a 3Ω and a 6Ω resistor in series?
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Study Notes
Basic Electricity and Electronics
- Topic: Basic Electricity and Electronics
- Lecturer: Dr. Hussein Abdel-Mawgoud Hussein
Lecture Outlines
- Practical Perspective, such as Resistive Touch Screen
- Resistors in Series
- Resistors in Parallel
- Voltage Divider and Current Divider
- Voltage Division and Current Division
Resistive Touch Screen
- Used in mobile phones and tablet computers
- Two screens separated by an insulating layer
- Screen modeled by grid of resistors in x and y directions, as shown in the figure
- Electronic circuit applies voltage across x-direction (between points 'a' and 'b'), then removes and applies voltage to the y-direction (between points 'c' and 'd')
- Touching the screen presses two screens together, creating a voltage at a point on the x-grid and y-grid to pinpoint the touch location.
Resistors in Series
- Kirchhoff's Voltage Law: -vs + isR1 + isR2 + isR3 + isR4 + isR5 + isR6 + isR7 = 0
- Alternative form: vs = is(R1 + R2 + R3 + R4 + R5 + R6 + R7)
- Equivalent Resistance (Req): Req = R1 + R2 + R3 + R4 + R5 + R6 + R7
- Current (is): is = vs/Req
Combining Resistors in Series
- Equivalent Resistance (Req): Req = ΣRᵢ = R₁ + R₂ + ... + Rₖ
- (Σ notation means summation of all resistors from i=1 to k)
Resistors in Parallel
- Kirchhoff's Current Law: is = i₁ + i₂ + i₃ + i₄
- Voltage across resistors is the same
- i₁R₁ = i₂R₂ = i₃R₃ = i₄R₄ = vs
- Equivalent Conductance (Geq): Geq = Σ Gᵢ= G₁ + G₂ + … + Gₖ
- Equivalent Resistance (Req): 1/Req = Σ (1/Rᵢ)
Equivalent Resistance and Equivalent Conductance
- Equivalent Resistance: 1/Req = 1/R₁ + 1/R₂ + ... + 1/Rₖ
- Alternative formula: Req = (R₁R₂)/(R₁ + R₂)
- Conductance Formula: Geq = Σ Gᵢ= G₁ + G₂ + … + Gₖ
- Resistors in parallel
Voltage Divider
- Develops multiple voltage levels from a single voltage supply
- Kirchhoff's Voltage Law and Ohm's Law used
- vᵢ = (Rᵢ/Req) × vs
Current Divider
- Divides current between parallel resistors
- The voltage across the resistors in parallel is v = i₁R₁ = i₂R₂
- i₁ = (R₂ / (R₁ + R₂)) × is
- i₂ = (R₁ / (R₁ + R₂)) × is
Example Problems
- Example problems involving series and parallel resistor circuits, finding equivalent resistance, current, and voltage drops are provided. Specific values for resistors, voltages, and currents are given for calculations. These examples demonstrate the application of the discussed circuit principles. Circuits are shown in figures, illustrating the configurations of the circuits.
Additional Notes
- Tolerance for resistors in circuits affects maximum and minimum values for calculated results
- Diagrams/figures in the notes show circuit setups for each example.
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Description
Test your knowledge on essential concepts of Basic Electricity and Electronics. This quiz covers resistors, their configurations, and applications such as resistive touch screens. Prepare to explore important laws and principles that govern electrical circuits.
