Question

The ratio of inductive reactance of an inductor when connected with a source of frequency 10 Hz and 40 Hz
respectively is
o 1:2
O 1:4
2:3
5:4​

Answer 1

Answer:

1:4

Explanation:

hope you have been understood that

Answer 2

Answer:

The ratio of the inductive reactance for given two different frequencies is 1:4.

Explanation:

• A passive electrical component that has two terminals and stores energy in a magnetic field when the current is flowing through it, is called an inductor.
• Voltages lead by 90° in the inductor.

• Inductive reactance is defined as the opposition provided to the flow of the changing current.
• Reactive impedance is measured in ohms(Ω).
• The Reactive impedance is expressed by:

                                        X = 2пfL

where,                        f = frequency

                                   L = inductance

Let, the inductance for the given inductor be L.

and the frequencies be f₁ and f₂.

∴           f₁ = 10 Hz

            f₂ = 40 Hz

The ratio = 2пf₁L : 2пf₂L

                = 10 × (2пL) : 40 × (2пL)

                = 1 : 4

Thus, when the inductor is connected with a source of frequency of 10 Hz and 40 Hz, the ratio of reactive impedance is 1:4.