Which of the following combination should be selected for better tuning of an LCR circuit used for communication? |
R = 30 Ω, L = 2.5 H, C = 45 μF R = 25 Ω, L = 3.5 H, C=30 μF R = 10 Ω, L = 5.0 H, C = 25 μF R = 20 Ω, L = 1.5 H, C = 35 µF |
R = 10 Ω, L = 5.0 H, C = 25 μF |
The correct answer is Option (3) → R = 10 Ω, L = 5.0 H, C = 25 μF To achieve better toning in an LCR circuit, one need to consider quality factor (Q) - $Q=\frac{1}{R}\sqrt{\frac{L}{C}}$ $Q=\frac{1}{10}\sqrt{\frac{5}{25×10^{-6}}}$ Upon calculating quality factor for option 3, we deduce that it is the highest. Hence, R = 10 Ω, L = 5.0 H, C = 25 μF |