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 (B)</p>
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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 (A)</p>
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What happens to the total current in a parallel circuit when more resistors are added?

<p>It increases (C)</p>
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What is the equivalent resistance (R') when replacing resistors R1 and R2 by a single resistor?

<p>8 Ω (B)</p>
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In a series circuit, what happens when one component fails?

<p>The circuit is broken (A)</p>
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How is the current distributed in a parallel circuit?

<p>It is divided among the electrical gadgets (D)</p>
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What is the total resistance (R) in the given scenario?

<p>18 Ω (D)</p>
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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 (D)</p>
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How does a parallel circuit benefit electrical gadgets with different resistance requirements?

<p>By dividing the current among the gadgets (A)</p>
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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 (B)</p>
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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>$R_p = rac{V}{I}$ (A)</p>
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In a series circuit, what happens to the current when an ammeter is inserted in series with a resistor?

<p>Current remains the same (C)</p>
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If the potential difference (V) across a combination of resistors in parallel is V, what is the potential difference across each individual resistor?

<p>$V$ (A)</p>
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What is the relationship between the current (I1) flowing through a resistor R1 and the potential difference (V) across it?

<p>$I1 = V / R1$ (C)</p>
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When measuring the currents through resistors in a parallel combination, what relationship should be observed among I, I1, I2, and I3?

<p>$I = I1 = I2 = I3$ (A)</p>
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