Solved Problems on LC Circuit
Problem 1. Calculate the Q Factor in a series LC circuit with R = 3.1Ω, L = 7.1H and C= 5F.
Solution:
Given R = 3.1Ω, L = 7.1H and C= 5F
Q-Factor in Series LC circuit is calculated as:
Thus, Q = 0.38
Problem 2. Calculate the Q Factor in a parallel LC circuit with R = 13Ω, L = 6H and C= 3.7F.
Solution:
Given R = 13Ω, L = 6H and C= 3.7F
Q-Factor in parallel LC circuit is calculated as:
⇒ Q = 13√(0.62)
⇒ Q = 13 × 0.785
⇒ Q = 10.2
Problem 3. Calculate resonant frequency in an LC circuit with inductance = 41 H and capacitance = 2.7 F.
Solution:
Given L = 41H, C = 2.7F
In an LC Circuit resonant frequency is calculated as:
Thus, ω= 0.095
Problem 4. Calculate the inductance of a series LC circuit with resonant frequency of 3.7Hz and capacitance of 4F.
Solution:
Given ω = 3.7 Hz, C = 4 F
Thus, using the formula we get
Thus, L = 0.018H
Problem 5. Calculate the capacitance of parallel LC circuit with inductance = 6.6H and resonant frequency = 7.3 Hz.
Solution:
Given ω = 7.3 Hz, L = 6.6H
Thus, using the formula we get
Thus, C = 0.028 F
LC Circuits
LC Circuit is a special type of electric circuit that is made up of an Inductor and a Capacitor. The inductor is represented by using the symbol L whereas the capacitor is represented using the symbol C. Hence, the name LC Circuit. LC Circuit acts as a major electric component in various devices such as oscillators, tuners, and filters. Thus LC circuit finds a number of applications in daily life. In this article, we shall discuss the LC circuit in detail.
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