Question

In electronics, the formula V = IR is called Ohm's Law. It gives the relationship in a circuit between the voltage V (in volts), the current I (in amperes), and the resistance R (in ohms). Find R when I = 5 − 3i amperes and V = 21 + i volts. (Simplify your answer completely. Enter your answer in a + bi form.)

Answer 1

3+2i ohm.

Step-by-step explanation:

Here we have a complex number operation. According to Ohm's law V=I*R, so:

`R=(V)/(I)\\\\R=(21+i)/(5-3i)`

we need to remove the complex number on the denominator, so we have to multiply by its complement on both side

`R=(21+i)/(5-3i)*(5+3i)/(5+3i)`

that gives us:

`R=(102+68i)/(34)=3+2i`