Question

In electronics, the formula $V=I R$ is called Ohm's Law. It gives the relationship in a circuit between the voltage $V$ (in volts), the current I (in amperes), and the resistance $\boldsymbol{R}(\text { in ohms })$ Electronics Find $V$ when $I=3-2 i$ amperes and $R=3+6 i$ ohms

Name: Problem 127, Chapter 1: College Algebra
Uploaded: 2020-07-08T00:38:33-08:00
Duration: 45 s
Channel: Amy Jiang
Description: In electronics, the formula V=I R is called Ohm's Law. It gives the relationship in a circuit between the voltage V (in volts), the current I (in amperes), and the resistance R( in ohms ) Electronics Find V when I=3-2 i amperes and R=3+6 i ohms

   In electronics, the formula $V=I R$ is called Ohm's Law. It gives the relationship in a circuit between the voltage $V$ (in volts), the current I (in amperes), and the resistance $\boldsymbol{R}(\text { in ohms })$
Electronics Find $V$ when $I=3-2 i$ amperes and $R=3+6 i$ ohms

College Algebra

R. David Gustafson,… 11th Edition

Chapter 1, Problem 127

Instant Answer

Solved by Expert Amy Jiang

07/08/2020

Step 1

According to Ohm's Law, $V = I \times R$. So, we substitute the given values into the formula. Show more…

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In electronics, the formula $V=I R$ is called Ohm's Law. It gives the relationship in a circuit between the voltage $V$ (in volts), the current I (in amperes), and the resistance $\boldsymbol{R}(\text { in ohms })$ Electronics Find $V$ when $I=3-2 i$ amperes and $R=3+6 i$ ohms

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Key Concepts

Ohm's Law

Ohm's Law is a fundamental principle in electronics that states the relationship between voltage, current, and resistance in a circuit through the equation V=IR. This principle is used to analyze and predict the behavior of electrical circuits under various conditions.

Complex Impedance

In alternating current (AC) circuits or circuits involving reactive components, resistance can be extended to include complex impedance. This concept captures not only the magnitude of the opposition to current but also the phase shift between voltage and current, enhancing the analysis of AC electrical systems.

Complex Number Arithmetic

When dealing with complex quantities in circuit analysis, arithmetic operations such as multiplication of complex numbers become essential. This involves using the distributive property and taking into account that the square of the imaginary unit (i^2) equals -1, ensuring accurate manipulation of values expressed in the form a+bi.

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