Question

Rank the transformers on the basis of their rms secondary voltage.

Rank from largest to smallest. To rank items as equivalent, overlap them.

#1

Vp=240V
Np=1000turns
Ns=2000turns

#2

Vp=480V
Np=4000turns
Ns=2000turns

#3

Vp=480V
Np=2000turns
Ns=1000turns

#4

Vp=120V
Np=500turns
Ns=2000turns

#5

Vp=240V
Np=1000turns
Ns=500turns

Answer 1

Step-by-step explanation:

Case 1 #

Vp = 240 V, Np = 1000, Ns = 2000

Vs / Vp = Ns / Np

Vs / 240 = 2000 / 1000

Vs = 480 V

Case 2 #

Vp = 480 V, Np = 4000, Ns = 2000

Vs / Vp = Ns / Np

Vs / 480 = 2000 / 4000

Vs = 240 V

Case 3 #

Vp = 480 V, Np = 500, Ns = 2000

Vs / Vp = Ns / Np

Vs / 480 = 2000 / 500

Vs = 1920 V

Case 4 #

Vp = 120 V, Np = 500, Ns = 2000

Vs / Vp = Ns / Np

Vs / 120 = 2000 / 500

Vs = 480 V

Case 5 #

Vp = 240 V, Np = 1000, Ns = 500

Vs / Vp = Ns / Np

Vs / 240 = 500 / 1000

Vs = 120 V

V3 > V4 = V1 > V2 > V5

Answer 2

`V_(s1)=V_(s4)>`
`V_(s2)=V_(s3)>V_(s5)`

Step-by-step explanation:

Given:

Here the symbols used mean:

`V_p=` voltage in the primary coil

`V_s=` voltage in the secondary coil

`N_s=` no. of turns in the secondary coil

`N_p=` no. of turns in the primary coil

We know that the above quantities are related as:

`(N_p)/(N_s) =(V_p)/(V_s)`

• Case:#1

`V_p=240V\\N_p=1000\\N_s=2000`

`(1000)/(2000) =(240)/(V_s)`

`V_s=480\ V`

• Case:#2

`Vp=480V\\Np=4000\\Ns=2000`

`(4000)/(2000) =(480)/(V_s)`

`V_s=240\ V`

• Case:#3

`Vp=480V\\Np=2000\\Ns=1000`

`(2000)/(1000) =(480)/(V_s)`

`V_s=240\ V`

• Case:#4

`Vp=120V\\Np=500\\Ns=2000`

`(500)/(2000) =(120)/(V_s)`

`V_s=480\ V`

• Case:#5

`Vp=240V\\Np=1000\\Ns=500`

`(1000)/(500) =(240)/(V_s)`

`V_s=120\ V`

So, we rank:

`V_(s1)=V_(s4)>`
`V_(s2)=V_(s3)>V_(s5)`