Question

The total electrical resistance between the points A and B of the circuit shown is

• A. $ \frac{L}{4} $
• B. $ \propto \text{x} $
• C. $ \propto {{\text{x}}^{2}} $
• D. $ \propto {{\text{x}}^{1/2}} $

Answer 1

Answer: (A)

$ {{R}_{1}}=10+10+10=30\Omega $ $ {{R}_{3}}=20+20=40\Omega $ $ \frac{1}{{{R}_{eq}}}=\frac{1}{30}+\frac{1}{20}+\frac{1}{40}=\frac{4+6+3}{120}=\frac{13}{120} $ $ {{R}_{eq}}=\frac{120}{13}=9.23\Omega $