Circuits Analysis and Theorems Quiz

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Questions and Answers

According to Kirchhoff’s current law (KCL), what does the algebraic sum of currents entering a node equal to?

  • The total number of branches
  • The total number of nodes
  • Zero (correct)
  • The product of the currents and the resistance

What does a branch represent in a circuit?

  • A connecting wire between two nodes
  • A single element such as a voltage source or a resistor (correct)
  • A closed path formed by starting at a node
  • The point of connection between two or more branches

How many nodes are present in the given circuit?

  • 2
  • 4
  • 5
  • 3 (correct)

What constitutes a single node in a circuit?

<p>Two nodes connected by a short circuit (C)</p> Signup and view all the answers

What is the point of connection between two or more branches in a circuit called?

<p>A node (D)</p> Signup and view all the answers

In a network with 5 branches and 3 nodes, how many independent loops will there be?

<p>3 (A)</p> Signup and view all the answers

What is a loop in a circuit?

<p>A closed path formed by starting at a node (A)</p> Signup and view all the answers

According to Ohm’s law, what is the relationship between voltage, current, and resistance?

<p>V = IR (A)</p> Signup and view all the answers

According to Kirchhoff’s voltage law (KVL), what is the algebraic sum of all voltages around a closed path?

<p>Zero (B)</p> Signup and view all the answers

When are voltage sources considered to be connected in series?

<p>When they have the same polarity (D)</p> Signup and view all the answers

What is the equivalent resistance of multiple resistors connected in series?

<p>The sum of the individual resistances (D)</p> Signup and view all the answers

In a voltage divider with N resistors in series, what is the voltage drop across the nth resistor (Rn)?

<p>$\frac{1}{N}$ of the source voltage v (A)</p> Signup and view all the answers

What is the process of combining resistors in a circuit known as?

<p>Voltage division (C)</p> Signup and view all the answers

When combining two resistors at a time, what can be said about the current in both of them?

<p>It is the same (B)</p> Signup and view all the answers

What happens to the current in parallel resistors connected in a circuit?

<p>It divides between the resistors (B)</p> Signup and view all the answers

What type of semiconductors have an excess of electrons?

<p>N-type semiconductors (A)</p> Signup and view all the answers

What is the equivalent resistance of two resistors in parallel?

<p>Dividend of their resistances (D)</p> Signup and view all the answers

Which material is classified as a good insulator due to its very high resistivity?

<p>Mica (B)</p> Signup and view all the answers

What type of material conducts electrical current but falls between conductors and insulators in its ability to conduct?

<p>Semiconductor (D)</p> Signup and view all the answers

Which element is used in some types of electrical resistors and can be represented by the valence shell and a core with a net charge of +4?

<p>Carbon (C6) (C)</p> Signup and view all the answers

Which compound is an example of a compound semiconductor?

<p>Gallium arsenide (C)</p> Signup and view all the answers

In terms of electrical properties, which material has valence electrons very loosely bound to the atom?

<p>Silver (Ag) (C)</p> Signup and view all the answers

What determines the best conductors in terms of their ability to conduct electrical current?

<p>Valence electrons (B)</p> Signup and view all the answers

Which compound is not a good conductor due to its high resistivity?

<p>Mica (D)</p> Signup and view all the answers

What type of material is characterized by atoms with four valence electrons and falls between conductors and insulators in its ability to conduct electrical current?

<p>Semiconductor (C)</p> Signup and view all the answers

Flashcards

Kirchhoff’s Current Law (KCL)

The algebraic sum of currents entering a node equals zero.

What is a Branch?

A branch represents a single circuit element, like a voltage source or resistor.

What Forms a Single Node?

A single node is formed when two nodes are connected by a short circuit.

What is a Node?

A node is the point of connection between two or more branches in a circuit.

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What is a Loop?

A loop is a closed path in a circuit, starting and ending at the same node.

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Ohm’s Law

Ohm’s Law states that Voltage (V) = Current (I) * Resistance (R).

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Kirchhoff’s Voltage Law (KVL)

The algebraic sum of all voltages around a closed path in a circuit equals zero.

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Series Voltage Sources

Voltage sources are in series when they have the same polarity.

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Series Resistance

The equivalent resistance of resistors in series is the sum of their individual resistances.

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Voltage Division

Voltage division is the process of combining resistors in a circuit.

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Current in Series Resistors

The current is the same when combining two resistors at a time.

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Current in Parallel Resistors

In parallel resistors, the current divides between the different resistors.

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N-type Semiconductor

N-type semiconductors have an excess of electrons.

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Equivalent Resistance of Parallel Resistors

Parallel Resistance is the dividend of their resistances.

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Good Insulator Example

Mica is a good insulator due to its very high resistivity.

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Semiconductor Definition

A semiconductor has conductivity between that of a conductor and an insulator.

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Element in Resistors

Carbon, with a net charge of +4, is used in some types of electrical resistors.

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Compound Semiconductor Example

Gallium arsenide is an example of a compound semiconductor.

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Material with Loosely Bound Electrons

Silver has valence electrons very loosely bound to the atom.

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Determinant of Conductivity

Valence electrons determine how well a material conducts electrical current.

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Semiconductor Characteristics

Semiconductors are characterized by atoms with four valence electrons.

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