20 0/1 points I Previous Answers SerPSE9 33. P.051 My Notes +D Ask Your Teacher

Question

20 0/1 points I Previous Answers SerPSE9 33. P.051 My Notes +D Ask Your Teacher In the transformer shown in the figure below, the load resistance RL is 57.0 2. The turns ratio N1/N2 is 2.60, and the rms source voltage is AVs 84.0 V. If a voltmeter across the load resistance measures an rms voltage of 24.0 V, what is the source resistance Rs? 133.32 X Your response differs from the correct answer by more than 10%. Double check your calculations. RE AVS Need Help? Read It Submit Answer Save Progress Practice Another Version Submit Assignment Save Assignment Progress

Explanation / Answer

N1/N2 = 2.6 ; Rl = 57 Ohm ; V = 24 V ; Vs = 84 V ; Rs = ?

V1 = N1/N2 V2

V1 = 2.6 x 24 = 62.4 V

from loop rule,

84 - IsRs - 62.4 = 0

IsRs = 21.6 V

For the equivalent resistance of the transformer we can write

Req = (N1/N2)^2 Rl

Req = (2.6)^2 x 57 = 385.32 Ohm

voltage across the transformer is 62.4 V

Is = 62.4/Req = 62.4/385.32 = 0.162 A

This flows across Rs

Is Rs = 21.6 => Rs = 21.6/Is = 21.6/0.162 = 133.33 Ohm

Hence, Rs = 133.3 Ohm

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