Question

Find the resistor in which the dissipated power is the greatest

• A. 6 W
• B. 9 W
• C. 18 W
• D. 5 W

Answer 1

Answer: (D)

5 W

Answer 2

Equivalent circuit

i₁ : i₂ : i₃ = $\frac{1}{2}$: $\frac{1}{6}$: $\frac{1}{3}$= 3 : 1 : 2

i₁ = $\frac{3}{6} \times i$ = $\frac{i}{2}$

i₂ = $\frac{1}{6} \times i$ = $\frac{1}{6}$

i₃ = $\frac{2}{6} \times i$ = $\frac{i}{3}$

DH in 5W = i² × 5

DH in 2W = $\frac{i^{2}}{4}$× 2 = $\frac{i^{2}}{2}$

DH in 5W = $\frac{4i^{2}}{9} \times 9$

Maximum heat is in 5W.