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A transformer connected to a 120V (rms) ac line is to supply 121 times 10^4 V (r

ID: 1546318 • Letter: A

Question

A transformer connected to a 120V (rms) ac line is to supply 121 times 10^4 V (rms) for a neon sign. To reduce the shock hazard, a fuse is to be inserted in the primary circuit and is to blow when the rms current in the secondary circuit exceeds 890 mA What is the ratio of secondary to primary turns of the transformer? N_2/N_1 = ____________ What power must be supplied to the transformer when the rms secondary current is 8.90 mA? P = ____________ What current rating should the fuse in the primary circuit have? I_1 = _______________

Explanation / Answer

V1 =120 V, V2 = 1.21*10^4 V, I2 = 8.9 mA

Part A:

N2/N1 = V2/V1

= 12100/120 = 100.83

Part B: P2 = I2*V2

P2 = 8.9*0.001*1.21*10^4

P2 = 107.7 W

Part C:

I1/I2 = N2/N1

I1/(8.9*0.001) = 100.83

I1 = 0.897 A

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