Question

Patrick is an electrical engineer who is testing the voltage of a circuit given a certain current and resistance . He uses the following formula to calculate voltage :Voltage=(current)•(resistance)What is the voltage of the circuit?

Answer 1

We have the following current and resistance:

`\begin{gathered} i=4+j2 \\ R=2-j3 \end{gathered}`

Where 'j' represents the imaginary number. The voltage of a circuit is given by the product of the current and resistance. To find the voltage of this circuit we just need to multiply those two values:

`V=i\mathrm{}.R=(4+j2)\mathrm{}(2-j3)=8-8j-6j^2=8-8j+6=14-8j`

Then, this is our answer. The voltage is:

`14-8j`