Series and Parallel Circuits Quiz

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1. The equivalent resistance of a parallel combination is always less than the smallest individual resistor.

True

False

Concept: parallel provides extra paths. Adding branches increases total conductance. This makes the equivalent resistance smaller than any single branch resistance.

Explanation

Concept: parallel provides extra paths. Adding branches increases total conductance. This makes the equivalent resistance smaller than any single branch resistance.

About This Quiz

$Quiz On Hm\s Law In Series & Parallel Circuits - Quiz$

This assessment focuses on HM's Law as applied to series and parallel circuits. It evaluates understanding of voltage, current, and resistance relationships, helping learners grasp essential electrical concepts. Mastery of these topics is crucial for anyone studying electronics or electrical engineering, making this a valuable resource for reinforcing knowledge in... see morecircuit analysis. see less

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2. A 12 v battery is connected to a 6 Ω resistor. The current is:

0.5 a

1 a

2 a

72 a

Concept: ohm’s law application. Use (i=v/r): (12/6=2) a. This is a direct single-resistor calculation.

Explanation

Concept: ohm’s law application. Use (i=v/r): (12/6=2) a. This is a direct single-resistor calculation.

3. In a parallel circuit, the voltage across each branch is the same.

True

False

Concept: parallel voltage rule. Branches in parallel connect to the same two nodes. That means they share the same potential difference.

Explanation

Concept: parallel voltage rule. Branches in parallel connect to the same two nodes. That means they share the same potential difference.

4. In a series circuit, the current through each component is:

Different in each resistor

The same through all components

Zero in all components

Only in the battery

Concept: series current rule. In series, there is only one path for charge. The same current flows through each component.

Explanation

Concept: series current rule. In series, there is only one path for charge. The same current flows through each component.

5. In series, (r_{eq} = r_1 + r_2 + …). So adding more resistors in series makes total resistance ______.

Concept: series increases resistance. More resistors means more opposition overall. That reduces current for a fixed supply voltage.

Explanation

Concept: series increases resistance. More resistors means more opposition overall. That reduces current for a fixed supply voltage.

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6. Two resistors of 6 Ω and 6 Ω in parallel have equivalent resistance:

12 Ω

6 Ω

3 Ω

0 Ω

Concept: parallel reduces resistance. Two equal resistors in parallel halve the resistance. More paths allow more total current.

Explanation

Concept: parallel reduces resistance. Two equal resistors in parallel halve the resistance. More paths allow more total current.

7. If you add another identical 6 Ω resistor in parallel (same 12 v source), total current increases.

True

False

Concept: parallel increases total current. The equivalent resistance decreases, so (i_{total}=v/r_{eq}) increases. Each branch draws its own current.

Explanation

Concept: parallel increases total current. The equivalent resistance decreases, so (i_{total}=v/r_{eq}) increases. Each branch draws its own current.

8. Two resistors of 4 Ω and 6 Ω in series have equivalent resistance:

2.4 Ω

10 Ω

24 Ω

Concept: series resistances add. In series, resistances add directly: (r_{eq}=4+6=10) Ω. This increases total opposition to current.

Explanation

Concept: series resistances add. In series, resistances add directly: (r_{eq}=4+6=10) Ω. This increases total opposition to current.

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Ekaterina Yukhnovich |PhD |

Science Expert

Ekaterina V. is a physicist and mathematics expert with a PhD in Physics and Mathematics and extensive experience working with advanced secondary and undergraduate-level content. She specializes in combinatorics, applied mathematics, and scientific writing, with a strong focus on accuracy and academic rigor.