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

Z = 1879.64 Ω = 1.879 KΩ

Step-by-step explanation:

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

`X_(c) = (1)/(2\pi fc)\\`

where,

Xc = Capacitive Reactance = ?

f = frequency = 50 Hz

C = Capacitance = 2 μF = 2 x 10⁻⁶ F

Therefore,

`X_(c) = (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 = √((1000\ \Omega)^2 + (1591.55\ \Omega)^2)\\`

Z = 1879.64 Ω = 1.879 KΩ