Electricity is distributed from electrical substations to neighborhoods at 1.310

Question

Electricity is distributed from electrical substations to neighborhoods at 1.3104V . This is a 60Hzoscillating (AC) voltage. Neighborhood transformers, seen on utility poles, step this voltage down to the 120V that is delivered to your house.

Part A

How many turns does the primary coil on the transformer have if the secondary coil has 110 turns?

Part B

No energy is lost in an ideal transformer, so the output power Pout from the secondary coil equals the input power Pin to the primary coil. Suppose a neighborhood transformer delivers 270A at 120 V. What is the current in the 1.3104V line from the substation?

Electricity is distributed from electrical substations to neighborhoods at 1.3½104V . This is a 60Hzoscillating (AC) voltage. Neighborhood transformers, seen on utility poles, step this voltage down to the 120V that is delivered to your house. Part A How many turns does the primary coil on the transformer have if the secondary coil has 110 turns? Ii = ________________A nprim = ________________ turns Part B No energy is lost in an ideal transformer, so the output power Pout from the secondary coil equals the input power Pin to the primary coil. Suppose a neighborhood transformer delivers 270A at 120 V. What is the current in the 1.3½104V line from the substation?

Explanation / Answer

Vs/Vp = Ns/Np => Np = Ns*Vp/Vs = 110*1.3 *10 ^4/120 = 11916.667 turns

Vp*Ip = Vs*Is => Ip = Vs*Is/Vp = 120*270/1.3 * 10 ^4 = 2.4 E 8 A

Source:

http://en.wikipedia.org/wiki/Transformer

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