What is the answer to v=ir ?

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v=ir

v = i r

r = 0, v = 0

Solution steps

v = i r

Rewrite

v

in standard complex form:

v + 0 i

v + 0 i = i r

Rewrite

i r

in standard complex form:

0 + r i

v + 0 i = 0 + r i

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[v = 0 0 = r]

[v = 0 0 = r] : r = 0, v = 0

r = 0, v = 0

z^{2} + 2 z + 1 - i = 0

(5 - 2 i) - 7 = x - (3 + y i)

\frac{1 - i}{1 + ki} = 2 - 3 i

z - \frac{1}{z} = 3 + 5 i

z^{2} - 3 i z + 5 i = 0