Electrical Engineering: Circuit Analysis and Physics Principles
Classified in Chemistry
Written on in
English with a size of 17.21 KB
VMAX300 Circuit Analysis
This section details various calculations related to RLC circuits, including impedance, capacitance, inductance, and phase angles.
Admittance and Reactance Calculations (f = 40 Hz)
Given the relationship for admittance in a parallel circuit, we have:
(1/100)² - (1/160)² = (1/170 - 1/XC)²
From this, we calculate the capacitive reactance (XC):
sqrt((1/100)² - (1/160)²) = sqrt(0.0001 - 0.0000390625) = sqrt(0.0000609375) ≈ 0.0078061/XC = 1/170 - 0.007806 = 0.005882 - 0.007806 = -0.001924- Therefore, XC ≈ 519.84 Ω (absolute value taken, as reactance is typically positive).
Using the calculated XC, we find the capacitance (C) at a frequency (f) of 40 Hz:
C = 1 / (2 * π * f * XC)C = 1 / (2 * π * 40 Hz * 519.84 Ω) ≈ 7.