A 4.0 Ωresistor, an 8.0 Ωresistor, and a 12 Ωresistor are connected in series with a 24 V batter

step 1 The first thing you wanted to do is draw the diagram, just to be clear. So we have three resisto

A 4.0 Ωresistor, an 8.0 Ωresistor, and a 12 Ωresistor are...

$A 4.0 \Omega$ resistor, an $8.0 \Omega$ resistor, and a $12 \Omega$ resistor are connected in series with a $24 \mathrm{V}$ battery. Determine the following
a. the equivalent resistance for the circuit
b. the current in the circuit (See Sample Problem 20A.)

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Key Concepts

Voltage Source

A voltage source, such as a battery, provides the energy needed to move electrons through a circuit. It establishes a potential difference that causes current to flow and influences how voltage is distributed across various circuit components.

Ohm's Law

Ohm's law is a foundational principle in electrical circuits that defines the relationship among voltage, current, and resistance through the formula V = IR. It is used to calculate any one of these quantities when the other two are known.

Equivalent Resistance

Equivalent resistance is the single resistance that can replace a combination of resistors in a circuit without changing the overall current flow. In a series circuit, the equivalent resistance is found by summing the resistances of the individual components.

Series Circuit

A series circuit is one in which all components are connected end-to-end so that there is only one path for the current to flow. This means that the same current passes through each component, and the total voltage supplied is divided across the individual resistances.

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