REFERRING TO EXAMPLE 21-13 Suppose the three resistors in...

REFERRING TO EXAMPLE $21-13$ Suppose the three resistors in this circuit have the values $R_{1}=100.0 \Omega, R_{2}=200.0 \Omega,$ and $R_{3}=300.0 \Omega,$ and the emf of the battery is 12.0 $\mathrm{V}$ . The resistor numbers are given in the Interactive Figure.) (a) Find the potential difference across each resistor. (b) Find the current that flows through each resistor.

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Key Concepts

Voltage Divider Principle

The voltage divider principle is a direct application of Ohm's Law in series circuits. It explains how the input voltage from a battery is divided among series-connected resistors in proportion to their resistances, making it easier to calculate the voltage drop across each resistor.

Series Circuits

In series circuits, components are connected end-to-end so that the same current flows through each element. The total resistance in such a circuit is the sum of the individual resistances, and it is this property that allows for the straightforward application of Ohm's Law and Kirchhoff's Voltage Law to determine voltage drops and current.

Kirchhoff's Voltage Law

Kirchhoff's Voltage Law (KVL) asserts that the sum of all electromotive forces and voltage drops around any closed loop in a circuit must equal zero. This principle is critical in ensuring that energy is conserved and is used to relate the battery voltage to the voltage drops across circuit elements.

Ohm's Law

Ohm's Law is fundamental in circuit analysis and states that the voltage (V) across a resistor equals the current (I) flowing through it multiplied by the resistance (R). This simple relationship (V = IR) is essential for calculating either current or voltage in various parts of a circuit.

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