Electrical Circuits: Equivalent Resistance Quiz
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Questions and Answers

What is the first step in solving the problem of finding the equivalent resistance ($R_T$) of the entire circuit?

  • Calculate the voltage drop across $R_1$.
  • Find the current flowing through $R_2$.
  • Combine $R_3$ and $R_4$ since they are in series. (correct)
  • Assume a value for the total current.
  • If the current $I_1$ flows through $R_1$ and the total current entering the parallel branch of $R_2$, $R_3$, and $R_4$ is $I_T$, which equation correctly relates these currents?

  • $I_1 = 2I_T$
  • $I_1 = I_T$ (correct)
  • $I_1 > I_T$
  • $I_T > I_1$
  • After simplifying the series combination of $R_3$ and $R_4$ into an equivalent resistance $R_{34}$, what is the next logical step to simplify the circuit further?

  • Combine them all in series.
  • Combine $R_2$ and $R_{34}$ in parallel. (correct)
  • Combine $R_1$ and $R_{34}$ in parallel.
  • Combine $R_1$ and $R_2$ in series.
  • Suppose the voltage drop across $R_3$ is $V_a$. If $R_3 = 10 \Omega$ and the current through it is $I_3$, how can $V_a$ be calculated?

    <p>$V_a = I_3 * R_3$ (A)</p> Signup and view all the answers

    Which of the following statements is correct if the calculated equivalent resistance of the circuit is $R_T$ and the supply voltage is $E = 36V$?

    <p>The total current supplied by the voltage source can be determined by $I_T = E / R_T$. (B)</p> Signup and view all the answers

    Flashcards

    Equivalent Resistance (RT)

    The total resistance of a circuit seen by the voltage source.

    Branch Currents (I1, I2)

    The currents flowing through different branches of the circuit.

    Voltage Drop (Va)

    The potential difference across a specific resistor in the circuit.

    Kirchhoff's Current Law

    The total current entering a junction equals the total current leaving.

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    Voltage Source (E)

    A device that provides a constant voltage in a circuit, like a battery.

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