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Questions and Answers
What is the mathematical representation of Ohm's Law?
What is the mathematical representation of Ohm's Law?
- I = R/V
- I = V/R (correct)
- V = IR
- R = V/I
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?
- The sum of currents entering a node is less than the sum of currents leaving a node
- The sum of currents entering a node is equal to the sum of currents leaving a node (correct)
- The sum of currents entering a node is greater than the sum of currents leaving a node
- The sum of currents entering a node is inversely proportional to 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?
- 6Ω
- 12Ω (correct)
- 3Ω
- 18Ω
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?
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?
What is the time constant of an RC circuit?
What is the time constant of an RC circuit?
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?
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 (Ï„) is the time taken for the capacitor to charge or discharge to 63.2% of its final value.
- Mathematically represented as: Ï„ = 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 (Ï„) is the time taken for the capacitor to charge or discharge to 63.2% of its final value.
- Mathematically represented as: Ï„ = RC
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