Chapter 2 - Electric Circuits: Ohm's & Kirchhoff's Laws

How are Kirchhoff's Current Law (KCL) and Kirchhoff's Voltage Law (KVL) applied in electric circuit analysis?

In the context of Ohm's Law, what are the implications of a 'short circuit' and an 'open circuit' regarding resistance and current flow?

How does the voltage division principle allow you to calculate the voltage across a specific resistor in a series circuit?

Explain the relationship between resistance and conductance. How is conductance measured and what does it signify?

How is the equivalent resistance calculated for resistors connected in series, and why does the current remain the same through each resistor?

In current division, how is the current flowing through a specific resistor in a parallel circuit determined, and what factors influence this division?

Describe the energy characteristic of resistors. What does it mean for a resistor to be a 'passive element'?

Differentiate between a 'node,' a 'branch,' and a 'loop' in an electrical circuit. Provide a simple example of each.

When applying Kirchhoff's Laws, what sign conventions are typically used for currents entering and leaving a node, and how does this convention aid in problem-solving?

How do Wye-Delta transformations simplify circuit analysis, and under what conditions are they most useful?

Express Ohm's Law mathematically and expound on each variable's unit of measurement.

For resistors in parallel, the voltage across each resistor is the same. Why is this true, and how does this principle simplify circuit analysis?

Two resistors, $R_1$ and $R_2$, are connected in series to a voltage source V. If $R_1$ is much larger than $R_2$, approximately what fraction of the total voltage will be dropped across $R_1$?

In the context of parallel resistors, if one resistor's value significantly decreases, how is the total equivalent resistance ($R_{eq}$) of the parallel combination affected?

Given a series circuit with a voltage source $V$ and resistors $R_1, R_2,$ and $R_3$, how would you calculate the power dissipated by resistor $R_2$?

If you have a parallel circuit with two resistors, and you know the total current entering the parallel combination, outline the steps to determine the current flowing through each individual resistor.

Why does the sum of voltage drops around any closed loop in a circuit equal zero according to Kirchhoff's Voltage Law (KVL)?

Why is it important to adhere to a consistent sign convention when applying Kirchhoff's Current Law (KCL) at a node?

How can Wye-Delta transformations be helpful in simplifying a bridge circuit, even though resistors are ultimately combined in series and parallel?

Describe the relationship between power, voltage, and resistance for a resistor. How does this relationship manifest if the voltage across a resistor is doubled while the resistance remains constant?

Explain how the equivalent resistance of parallel resistors is always less than the smallest individual resistance present in the parallel combination.

Using Ohm's Law, describe what happens to the current in a circuit if the voltage is doubled and the resistance is halved.

If two resistors, $R_1$ and $R_2$, are in parallel and $R_1$ is much smaller than $R_2$, how does the total current divide between the two resistors?

In a series circuit, what impact does increasing the value of one resistor have on the current flowing through the entire circuit?

When applying KVL, how does the choice of loop direction (clockwise or counterclockwise) impact the calculations?

Imagine a resistor network that cannot be simplified using purely series or parallel combinations. What technique could be applied to transform the circuit into a solvable configuration?

Describe how the power dissipated in a resistor changes if the current through it is tripled while the resistance remains constant.

When is it most appropriate to use current division and voltage division techniques in circuit analysis?

If a resistor is rated for a maximum power dissipation, what happens if the power dissipated in the resistor exceeds this rating?

Explain why the total resistance in a series circuit will always be greater than any of the individual resistances.

How does the power absorbed by a resistor relate to its function as a passive element?

Describe what occurs at a node in a circuit, according to Kirchhoff’s Current Law.

Where in a circuit is Kirchhoff’s Voltage Law applied, and what conservation law does it represent?

Explain why the current remains constant through all resistors in a series circuit.

In a parallel circuit, why does the voltage across each resistor remain constant, even if the resistors have different values?

Describe the delta to wye transformation.

Power absorbed by a resistor is expressed as $P=i^2R$ or $P=Rv^2$. Explain why a resistor with a high resistance value is beneficial for power dissipation in some electrical applications.

Describe the difference between electric circuits versus electronics, as could be understood by the material.

Explain how to calculate total resistance ($R_{eq}$) of parallel resistors?

Using Kirchhoff's Current Law (KCL), describe the relationship between currents entering and leaving a node in a circuit.

Explain how the voltage is divided across two resistors ($R_1$ and $R_2$) connected in series with a voltage source $v$.

What is the key difference in current flow between resistors connected in series versus resistors connected in parallel?

How do you calculate the power absorbed by a resistor using Ohm's Law, if you know the current ($i$) flowing through it and its resistance ($R$)?

A circuit has a resistor $R_1$ in parallel with a resistor $R_2$. If the total current entering the parallel combination is $i$, what is the current $i_1$ flowing through resistor $R_1$?