Question

what is the diffrence between modulus & amplitude of a complex number

Answer 1

$$\begin{gathered} \mathrm{A}\mathrm{complex}\mathrm{number}\mathrm{is}\mathrm{in}\mathrm{the}\mathrm{form}a+ib\mathrm{can}\mathrm{also}\mathrm{be}\mathrm{written}\mathrm{in}\mathrm{the}\mathrm{form}\mathrm{of}r\left(\cos \theta +i\sin \theta \right). \\ \mathrm{Here},r\mathrm{is}\mathrm{modulus}\mathrm{and}\theta \mathrm{is}\mathrm{amplitude}. \\ r=\sqrt{a^2+b^2} \\ \mathrm{And} \\ \theta ={\tan }^{-1}\left(\frac{b}{a}\right) \end{gathered}$$