Electronics - Inductors - Discussion

Discussion Forum : Inductors - General Questions (Q.No. 74)
74.
Which transformer turns ratio is needed to match two 16-ohm parallel devices to an output of 22.2 ohms?
1.38:1
1.67:1
0.72:1
0.60:1
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
5 comments Page 1 of 1.

Wiblack. said:   5 years ago
Formula of relation between the primary and secondary:
((Np)^2)(Zp)=((Ns)^2)(Zs).

Since the primary (Zp) has two 16-ohm parallel it would result to 8-ohms in total (Zp = 8ohms).

Substituting through trial and error given by choices:

((1)^2)(8)=((0.6)^2)(22.2).
8 = 0.60 * 0.60 * 22.2.
8 = 7.992.

Sandhyarani nayak said:   9 years ago
I can not understand. Please explain in detail.

KIRAN V said:   9 years ago
Zp = n^2 * Zs.
8 = 0.60 * 0.60 * 22.2.
8 = 7.992.

KIRAN V said:   9 years ago
Zp = n^2 * Zs.
Zp = Parallel combination of two 16 Ohm resistors.
Given,
Zs = Series Impedence/ Resistance = 22.2 Ohm.
n = no.of turns = 0.60.

Nisar khan said:   10 years ago
Zp = n^2 * Zs.

Here Zp is parallel combination of two 16 ohm R,

So their resultant is 8. Now put vales in equation you will get n = 0.6003.

So for matching 22.2*0.60 = 8 ohm.

Post your comments here:

Your comments will be displayed after verification.