Question Bank MCQ • 1 Mark Section 1: Mathematical Physics Complex analysis

QB_PH_019: Complex analysis

Question Statement

Under the conformal mapping $w = 1/z$, the circle $|z| = R$ in the $z$-plane maps to:
(A) A circle of radius $1/R$ centered at origin in the $w$-plane
(B) A straight line passing through the origin
(C) An ellipse in the $w$-plane
(D) A parabola in the $w$-plane
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: $|w| = 1/|z| = 1/R$.
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