Question

(a) What is the reactance of a 2.00 H inductor at a frequency of 50.0 Hz? (b) What is the inductance of an inductor whose reactance is 2.00 Omega at 50.0 Hz? (c) What is the reactance of a 2.00 muF capacitor at a frequency of 50.0 Hz? (d) What is the capacitance of a capacitor whose reactance is 2.00 Omega at 50.0 Hz?

Answer 1

Below are given the answers of the questions.

Explanation:

We are given that:

(a) Inductance = 2.00 H

Frequency "ω" = 50.0 Hz

XL = ωL

XL = (2 π 50) x 2 = 628.32 Ω

(b) Reactance  = 2.00 Ω

Frequency "ω"  = 50.0 Hz

L = ω / XL

Inductance = 2 x π  x 50 / 2

Inductance = 157 H

(c) XC = 1 / ωC

Capacitance = 2 muF = 2 x 10^-6 F

Xc = 1/ 2 π x 50 x 2 x 10^-6  = 1592 Ω

(d) Reactance = 2.00 Ω

Frequency "ω" = 50 Hz

C = 1 / ωC = 1 / 2 π x 50 x 2 = 1.59 x 10^-3 F