Solve the problem using this formula.
-Find $\mathrm { E }$, the voltage of a circuit, if $\mathrm { I } = ( 8 + 3 \mathrm { i } )$ amperes and $\mathrm { R } = ( 5 + 3 \mathrm { i } )$ ohms.
A) $( 31 + 39 i )$ volts
B) $( 31 - 39 i )$ volts
C) $( 39 + 31 i )$ volts
D) $( 39 - 31 i )$ volts

Question

Quizplus · Accepted Answer

To find the voltage $ \mathrm { E } $, use Ohm's Law $ \mathrm { E } = \mathrm { I } \times \mathrm { R } $. Substituting $ \mathrm { I } = ( 8 + 3 \mathrm { i } ) $ and $ \mathrm { R } = ( 5 + 3 \mathrm { i } ) $, we get $ \mathrm { E } = ( 8 + 3 \mathrm { i } )( 5 + 3 \mathrm { i } ) = 40 + 24 \mathrm { i } + 9 \mathrm { i }^2 = 40 + 24 \mathrm { i } - 9 = ( 31 + 24 \mathrm { i } ) $ volts. Correcting the calculation: $ \mathrm { E } = ( 8 + 3i )( 5 + 3i ) = 40 + 24i + 15i + 9i^2 = 40 + 39i - 9 = ( 31 + 39i ) $ volts.

Solve the Problem Using This Formula E\mathrm { E }E , the Voltage of a Circuit, If

Solve the Problem Using This Formula $\mathrm { E }$ , the Voltage of a Circuit, If