Solve the problem using this formula.
-Find $E$, the voltage of a circuit, if $\mathrm { I } = ( 9 + 6 \mathrm { i } )$ amperes and $\mathrm { R } = ( 7 + 2 \mathrm { i } )$ ohms.
A) $( 51 + 60 i )$ volts
B) $( 51 - 60 \mathrm { i } )$ volts
C) $( 60 + 51 i )$ volts
D) (60 - 51i) volts

Question

Quizplus · Accepted Answer

To find the voltage $E$ in a circuit using Ohm's Law, we use the formula $E = I \times R$, where $I$ is the current and $R$ is the resistance. Given $I = (9 + 6i)$ amperes and $R = (7 + 2i)$ ohms, we calculate $E$ as follows:$$E = (9 + 6i) \times (7 + 2i) = 63 + 18i + 42i + 12i^2$$Since $i^2 = -1$, we have:$$E = 63 + 60i - 12 = 51 + 60i$$Therefore, the voltage $E$ is $(51 + 60i)$ volts.

Solve the Problem Using This Formula EEE , the Voltage of a Circuit, If

Solve the Problem Using This Formula $E$ , the Voltage of a Circuit, If