Kirchoff’s First Law and Charge Conservation in Circuits
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Questions and Answers

In a series circuit, how is the current distributed?

  • The current is inversely proportional to resistance
  • The sum of currents in each element is equal to the total current
  • The current is different in different parts of the circuit
  • The current is the same everywhere in the circuit (correct)
  • What does Kirchoff's first law state about current in a circuit junction?

  • The total current flowing into a junction is different from the current flowing out
  • The total current flowing into a junction is less than the current flowing out
  • The total current flowing into a junction is greater than the current flowing out
  • The total current flowing into a junction is equal to the current flowing out (correct)
  • What happens to the sum of currents in each parallel set of branches in a parallel circuit?

  • It is less than the total current
  • It becomes zero
  • It exceeds the total current
  • It equals the total current (correct)
  • According to Kirchoff's second law, what is the sum of all voltages in a series circuit?

    <p>Equal to the battery voltage</p> Signup and view all the answers

    How is potential difference distributed across all elements in a series circuit?

    <p>The total sum of the voltages across all elements equals the supply p.d</p> Signup and view all the answers

    What does the principle of conservation of energy state about energy in a closed system?

    <p>Energy in a closed system stays constant and cannot be created or destroyed</p> Signup and view all the answers

    What is the total voltage in a series circuit with three resistors, each having a resistance of $R1$, $R2$, and $R3$?

    <p>$V = I(R1 + R2 + R3)$</p> Signup and view all the answers

    What is the equivalent resistance in a parallel circuit with three resistors, $R1$, $R2$, and $R3$?

    <p>$\frac{1}{RT} = \frac{1}{R1} + \frac{1}{R2} + \frac{1}{R3}$</p> Signup and view all the answers

    What does Kirchoff's second law state about the voltages in a series circuit?

    <p>The sum of the voltages is equal to the supply voltage</p> Signup and view all the answers

    In a series circuit, how does the total resistance compare to individual resistances?

    <p>It is equal to the sum of individual resistances</p> Signup and view all the answers

    What happens to the current in a series circuit when more resistors are added?

    <p>The current decreases due to higher resistance</p> Signup and view all the answers

    What does Ohm's law relate in an electrical circuit?

    <p>Voltage, current, and resistance</p> Signup and view all the answers

    What is the key difference between a series circuit and a parallel circuit?

    <p>The potential difference across each branch is different in a series circuit but the same in a parallel circuit.</p> Signup and view all the answers

    How can you determine the total resistance in a series circuit with three resistors of different values?

    <p>By adding the reciprocals of the individual resistances.</p> Signup and view all the answers

    What enables us to calculate the voltage across each resistor in a series circuit?

    <p>Ohm's law</p> Signup and view all the answers

    In a parallel circuit, what happens if one branch has a lower resistance compared to others?

    <p>The current flowing through that branch increases.</p> Signup and view all the answers

    Which law states that the sum of currents entering a junction must equal the sum of currents leaving the junction?

    <p>Kirchoff's first law</p> Signup and view all the answers

    Study Notes

    Charge Conservation

    • Kirchoff's first law: The total current flowing into a junction is equal to the current flowing out of that junction.
    • In a series circuit, the current is the same everywhere in the circuit.
    • In a parallel circuit, the sum of the currents in each parallel set of branches is equal to the total current.

    Energy Conservation

    • The principle of energy conservation states that energy cannot be created or destroyed, but can be transferred from one form to another.
    • In a closed system, the total energy remains constant.
    • Kirchoff's second law: The sum of all the voltages in a series circuit is equal to the battery voltage, or the sum of all the voltages in a loop is zero.

    Series Circuits

    • The battery p.d is shared across all elements in the circuit, and the sum of the voltages across all elements is equal to the supply p.d.
    • Kirchoff's second law can be applied to find the total voltage: V = V1 + V2 + V3
    • The total resistance in a series circuit is RT = R1 + R2 + R3 + ...

    Parallel Circuits

    • The potential difference across each branch is the same.
    • The current in each branch can be found using Ohm's law: I1 = V/R1, I2 = V/R2, I3 = V/R3
    • The total current is the sum of the currents in each branch: I = I1 + I2 + I3
    • The total resistance in a parallel circuit is 1/RT = 1/R1 + 1/R2 + 1/R3 + ...

    Combining Resistances

    • For series circuits, the total resistance is RT = R1 + R2 + R3 + ...
    • For parallel circuits, the total resistance is 1/RT = 1/R1 + 1/R2 + 1/R3 + ...

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    Description

    Learn about Kirchoff’s first law in circuits, which states that the total current flowing into a junction is equal to the current flowing out. Understand how charge conservation leads to the distribution of current in series and parallel circuits.

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