Which of the following will decrease the current through R3...

Which of the following will decrease the current through $R_{3}$ in the circuit above? Select two answers.
(A) A decrease in $R_{1}$
(B) An increase in $R_{1}$
(C) An increase in $R_{2}$
(D) An increase in $R_{3}$

Key Concepts

Ohm's Law

Ohm's Law establishes the fundamental relationship among voltage, current, and resistance in an electrical circuit. It states that the current through a resistor is directly proportional to the voltage across it and inversely proportional to its resistance, providing a basis for predicting how changes in resistance will affect current flow.

Series Circuits

In a series circuit, all components are connected end?to?end so that the same current flows through every element. The overall resistance is the sum of the individual resistances, meaning that any increase in one resistor’s value raises the total circuit resistance and thereby reduces the current throughout the entire series chain.

Parallel Circuits

Parallel circuits have components connected across the same voltage source, meaning that each branch experiences the same voltage drop. In these arrangements, the current divides among the parallel branches inversely to their resistances. Understanding this helps in analyzing how alterations to one branch’s resistance can affect the overall current distribution in the network.

Kirchhoff's Circuit Laws

Kirchhoff's Circuit Laws, comprising the Junction Rule and the Loop Rule, are essential for analyzing complex circuits. The Junction Rule (current law) holds that the total current entering a node equals the total current leaving it, while the Loop Rule (voltage law) indicates that the sum of voltage changes around any closed loop must be zero. These principles are crucial when determining the effects of changing resistances within circuits containing both series and parallel elements.

Voltage Divider Rule

The Voltage Divider Rule is a technique used in series circuits to determine the voltage across individual components. It shows that the voltage drop across a resistor in a series connection is proportional to its resistance relative to the total series resistance. This concept is key when evaluating how modifications to one resistor affect not only its own voltage drop but also the voltages seen by other parts of the circuit.

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