Asked by Tanesha Williams on May 06, 2024
Verified
Two capacitors, a 20 μ F and a 30 μ F, are connected in parallel to a 400 Hz source. What is the total capacitive reactance?
A) 7.96 Ω
B) 33.16 Ω
C) 42.04 Ω
D) 53.05 Ω
Capacitive Reactance
The opposition that a capacitor presents to the change in voltage, measured in ohms.
Frequency Source
An electronic component or circuit that generates a signal of a specific frequency, used in various types of electronic equipment.
- Assess the total capacitive reactance in capacitor circuits arranged in series and parallel.
Verified Answer
QZ
qingqing zhangMay 07, 2024
Final Answer :
A
Explanation :
The total capacitance in parallel is the sum of the individual capacitances: Ctotal=20μF+30μF=50μFC_{total} = 20\mu F + 30\mu F = 50\mu FCtotal=20μF+30μF=50μF . The capacitive reactance XCX_CXC is given by XC=12πfCX_C = \frac{1}{2\pi fC}XC=2πfC1 , where fff is the frequency and CCC is the capacitance. Substituting the given values, XC=12π×400×50×10−6=7.96ΩX_C = \frac{1}{2\pi \times 400 \times 50 \times 10^{-6}} = 7.96 \OmegaXC=2π×400×50×10−61=7.96Ω .
Learning Objectives
- Assess the total capacitive reactance in capacitor circuits arranged in series and parallel.