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

Answer:

3+2i ohm.

Explanation:

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

$R=\frac{V}{I}\\\\R=\frac{21+i}{5-3i}$

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

$R=\frac{21+i}{5-3i}*\frac{5+3i}{5+3i}$

that gives us:

$R=\frac{102+68i}{34}=3+2i$