Complex Numbers Are Used in Electronics to Describe the Current $E$

question 39

Multiple Choice

Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula E = IR. Solve the problem using this formula
-Find $E$ , the voltage of a circuit, if $I = ( 9 + 7 i )$ amperes and $R = ( 3 + 7 i )$ ohms.

• A) \(( 84 - 22 i )\) volts
• B) \(( 84 + 22 i )\) volts
• C) \(( - 22 - 84 i )\) volts
• D) \(( - 22 + 84 i )\) volts

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Definitions:

Residual

The difference between observed and predicted values in a regression analysis.

Regression Source Table

A tabular representation in regression analysis that summarizes the sources of variation in the data, including measures like the sum of squares due to regression and residual error.

Slope Significant

An indicator that the slope of a regression line is significantly different from zero, suggesting a meaningful relationship between variables.

Correlation Coefficient

A numerical measure that indicates the extent to which two variables fluctuate together.