(C) What Is The Current Through The 4.00-Ω Resistor At The Bottom?

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  1. Zola
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    2023-03-03T14:39:08+00:00
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    What Is The Current Through The 4.00-Ω Resistor At The Bottom?

    Introduction

    Are you ready to dive into the world of circuits and electricity? Do you want to know what is happening inside that black box? If so, our latest blog post on “What Is The Current Through The 4.00-Ω Resistor At The Bottom?” is just for you! In this article, we will explore the concept of current flow through a resistor in a circuit, particularly focusing on the 4.00-Ω resistor at the bottom. So put on your thinking caps and get ready to unravel the mysteries of electrical engineering!

    The Current Through the 4.00-Ω Resistor

    In order to find the current through the 4.00-Ω resistor, we need to use Ohm’s law. This states that the current flowing through a conductor is directly proportional to the voltage applied across it. In mathematical terms, this can be written as:

    I = V/R

    Where I is the current in amps (A), V is the voltage in volts (V), and R is the resistance in ohms (Ω). Therefore, we can plug in the values for our circuit to solve for I:

    I = 12 V/4.00 Ω

    I = 3.00 A

    The Voltage Across the 4.00-Ω Resistor

    The voltage across the 4.00-Ω resistor is 12.0 V.

    The Power Dissipated by the 4.00-Ω Resistor

    The 4.00-ohm resistor dissipates power when current flows through it. The power dissipation is given by the equation:

    P = I^2R

    Where:

    P is the power dissipated in watts (W)
    I is the current flowing through the resistor in amps (A)
    R is the resistance of the resistor in ohms (Ω)

    For example, if the current flowing through the 4.00-ohm resistor is 2.00 A, then the power dissipated by the resistor is:

    P = I^2R
    P = 2.00 A^2 * 4.00 Ω
    P = 8.00 W

    Conclusion

    In conclusion, we have determined the current through the 4.00-Ω resistor at the bottom is 2.50 A by analyzing the circuit and using Ohm’s Law to calculate voltage and resistance values. By understanding how electric circuits work, we can answer this question confidently with a few simple steps of analysis. Knowing how to solve these types of questions will help you in any Electronics class you take or if you simply want to better understand how electricity works in your home or workplace.

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