Question

15. What is the impedance of a series combination of a resistance of 1KM and a capacitance of a capacitor 2 µF at a frequency of 50 Hz? Nt

Answer 1

Answer:

Z = 1879.64 Ω = 1.879 KΩ

Explanation:

First, we will find the capacitive reactance of the capacitor:

$X_{c} = \frac{1}{2\pi fc}$

where,

Xc = Capacitive Reactance = ?

f = frequency = 50 Hz

C = Capacitance = 2 μF = 2 x 10⁻⁶ F

Therefore,

$X_{c} = \frac{1}{2\pi(50\ Hz)(2\ x\ 10^{-6} F)}\\X_{c} = 1591.55\ \Omega$

This is an RC series circuit. In the RC circuit the value of impedance is given by the following formula:

$Z = \sqrt{R^2 + X_{c}^2}\\Z = \sqrt{(1000\ \Omega)^2 + (1591.55\ \Omega)^2}$

Z = 1879.64 Ω = 1.879 KΩ