Equivalent Resistance Calculation in a Parallel Circuit
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Questions and Answers

What is the formula to calculate total resistance for resistors connected in series?

  • $R_s = R_1 + R_2$ (correct)
  • $R_s = R_1 \times R_2$
  • $R_s = R_1 - R_2$
  • $R_s = \frac{R_1}{R_2}$

    • In an electric circuit with resistors joined in series, what happens to the total resistance compared to the individual resistors?

  • It is half the sum of the individual resistances
  • It is greater than any individual resistance
  • It is equal to the sum of the individual resistances (correct)
  • It is less than the sum of the individual resistances

    • What happens to the potential difference across the equivalent single resistor when multiple resistors are replaced by it in a series circuit?

  • It decreases
  • It increases
  • It remains the same (correct)
  • It cannot be calculated

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

    <p>It decreases</p> Signup and view all the answers

    When resistors are connected in parallel, what happens to the total resistance compared to the individual resistors?

    <p>It is less than the smallest individual resistance</p> Signup and view all the answers

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

    <p>It increases</p> Signup and view all the answers

    What is the equivalent resistance (R') when replacing resistors R1 and R2 by a single resistor?

    <p>8 Ω</p> Signup and view all the answers

    In a series circuit, what happens when one component fails?

    <p>The circuit is broken</p> Signup and view all the answers

    How is the current distributed in a parallel circuit?

    <p>It is divided among the electrical gadgets</p> Signup and view all the answers

    What is the total resistance (R) in the given scenario?

    <p>18 Ω</p> Signup and view all the answers

    In a series circuit, why would it be impractical to connect an electric bulb and an electric heater in series?

    <p>Because they require different current values to operate properly</p> Signup and view all the answers

    How does a parallel circuit benefit electrical gadgets with different resistance requirements?

    <p>By dividing the current among the gadgets</p> Signup and view all the answers

    What is the relationship between the total current (I) and the individual currents (I1, I2, I3) in a parallel combination of resistors?

    <p>I = I1 + I2 + I3</p> Signup and view all the answers

    What is the equivalent resistance (Rp) of a parallel combination of resistors if the total current (I) flowing through it is given by Ohm's law as I = V/Rp?

    <p>$R_p = rac{V}{I}$</p> Signup and view all the answers

    In a series circuit, what happens to the current when an ammeter is inserted in series with a resistor?

    <p>Current remains the same</p> Signup and view all the answers

    If the potential difference (V) across a combination of resistors in parallel is V, what is the potential difference across each individual resistor?

    <p>$V$</p> Signup and view all the answers

    What is the relationship between the current (I1) flowing through a resistor R1 and the potential difference (V) across it?

    <p>$I1 = V / R1$</p> Signup and view all the answers

    When measuring the currents through resistors in a parallel combination, what relationship should be observed among I, I1, I2, and I3?

    <p>$I = I1 = I2 = I3$</p> Signup and view all the answers

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