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What is the mathematical representation of Ohm's Law?
What is the mathematical representation of Ohm's Law?
According to Kirchhoff's Current Law, what is the relationship between the sum of currents entering a node and the sum of currents leaving a node?
According to Kirchhoff's Current Law, what is the relationship between the sum of currents entering a node and the sum of currents leaving a node?
What is the total resistance of a series circuit consisting of three resistors with resistances 2Ω, 4Ω, and 6Ω?
What is the total resistance of a series circuit consisting of three resistors with resistances 2Ω, 4Ω, and 6Ω?
What is the characteristic of a parallel circuit when one resistor is broken?
What is the characteristic of a parallel circuit when one resistor is broken?
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What is the mathematical representation of the total resistance of a parallel circuit consisting of n resistors?
What is the mathematical representation of the total resistance of a parallel circuit consisting of n resistors?
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What is the time constant of an RC circuit?
What is the time constant of an RC circuit?
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What is the characteristic of a series circuit when one resistor is broken?
What is the characteristic of a series circuit when one resistor is broken?
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According to Kirchhoff's Voltage Law, what is the sum of voltage changes around a closed loop?
According to Kirchhoff's Voltage Law, what is the sum of voltage changes around a closed loop?
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Study Notes
Ohm's Law
- States that the current flowing through a conductor is directly proportional to the voltage applied across it, provided the temperature remains constant.
- Mathematically represented as: I = V/R
- Where:
- I is the current in amperes (A)
- V is the voltage in volts (V)
- R is the resistance in ohms (Ω)
Kirchhoff's Laws
- Two laws that describe the behavior of electric circuits:
-
Kirchhoff's Current Law (KCL)
- States that the sum of currents entering a node is equal to the sum of currents leaving a node.
- Mathematically represented as: ΣI_in = ΣI_out
-
Kirchhoff's Voltage Law (KVL)
- States that the sum of voltage changes around a closed loop is zero.
- Mathematically represented as: ΣV = 0
-
Kirchhoff's Current Law (KCL)
Resistors In Series
- A series circuit consists of resistors connected one after the other.
- Characteristics:
- The current is the same throughout the circuit.
- The total voltage is the sum of individual voltage drops across each resistor.
- The total resistance is the sum of individual resistances.
- If one resistor is broken, the entire circuit is broken.
- Mathematically represented as: R_total = R1 + R2 + ... + Rn
Resistors In Parallel
- A parallel circuit consists of resistors connected between the same two nodes.
- Characteristics:
- The voltage is the same across each resistor.
- The total current is the sum of individual currents through each resistor.
- The total resistance is less than the individual resistances.
- If one resistor is broken, the others continue to operate.
- Mathematically represented as: 1/R_total = 1/R1 + 1/R2 + ... + 1/Rn
RC Circuits
- A circuit consisting of resistors and capacitors.
- Characteristics:
- The capacitor stores energy in the form of an electric field.
- The resistor controls the rate of charging and discharging of the capacitor.
- The time constant (τ) is the time taken for the capacitor to charge or discharge to 63.2% of its final value.
- Mathematically represented as: τ = RC
Ohm's Law
- Current flowing through a conductor is directly proportional to the voltage applied, provided temperature remains constant.
- Mathematically represented as: I = V/R
- I: current in amperes (A)
- V: voltage in volts (V)
- R: resistance in ohms (Ω)
Kirchhoff's Laws
Kirchhoff's Current Law (KCL)
- Sum of currents entering a node is equal to the sum of currents leaving a node.
- Mathematically represented as: ΣI_in = ΣI_out
Kirchhoff's Voltage Law (KVL)
- Sum of voltage changes around a closed loop is zero.
- Mathematically represented as: ΣV = 0
Resistors In Series
- Series circuit consists of resistors connected one after the other.
- Current is the same throughout the circuit.
- Total voltage is the sum of individual voltage drops across each resistor.
- Total resistance is the sum of individual resistances.
- If one resistor is broken, the entire circuit is broken.
- Mathematically represented as: R_total = R1 + R2 +...+ Rn
Resistors In Parallel
- Parallel circuit consists of resistors connected between the same two nodes.
- Voltage is the same across each resistor.
- Total current is the sum of individual currents through each resistor.
- Total resistance is less than the individual resistances.
- If one resistor is broken, the others continue to operate.
- Mathematically represented as: 1/R_total = 1/R1 + 1/R2 +...+ 1/Rn
RC Circuits
- Circuit consisting of resistors and capacitors.
- Capacitor stores energy in the form of an electric field.
- Resistor controls the rate of charging and discharging of the capacitor.
- Time constant (τ) is the time taken for the capacitor to charge or discharge to 63.2% of its final value.
- Mathematically represented as: τ = RC
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Description
Learn about Ohm's Law and Kirchhoff's Laws, fundamental principles in electrical circuits that describe the relationship between current, voltage, and resistance.
