Question

8. 1 Write a complex number to represent the impedance of each element. The voltage, V, is the real part, and the current, I, is the multiple of the imaginary unit i.

9. V = 34 volts: I = 3 milliamperes



10. V = 13 volts; I = 2.4 milliamperes​

Answer 1

Given that,

Voltage = 34 volt

Current = 3i mA

We need to calculate the complex number to represent the impedance

Using ohm's law

`V=IR`

`R=(V)/(I)`

Where, V = voltage

I = current

R = impedance

Put the value into the formula

`R=(34)/(0.003i)`

`R=(34)/(0+0.003i)*(0-0.003i)/(0-0.003i)`

`R=(0.102i)/(0.9*10^(-5))\ \Omega`

(b). Given that,

Voltage = 13 volts

Current = 2.4 mA

We need to calculate the complex number to represent the impedance

Using ohm's law

`R=(V)/(I)`

Put the value into the formula

`R=(13)/(0.00024i)`

`R=(13)/(0.00024i)*(-0.00024i)/(-0.00024i)`

`R=(0.00312i)/(5.76*10^(-8))\ \Omega`

Hence, (a). The complex number to represent the impedance is
`(0.102i)/(0.9*10^(-5))\ \Omega`

(b). (a). The complex number to represent the impedance is
`(0.00312i)/(5.76*10^(-8))\ \Omega`