Q. What is the maximum allowable primary current of a 2 KVA step-down transformer with a four to one turns ratio if connected across a 440 volt line? 4.5 amps 18.1 amps 27.7 amps None of the given options

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Q. What is the maximum allowable primary current of a 2 KVA step-down transformer with a four to one turns ratio if connected across a 440 volt line? 4.5 amps 18.1 amps 27.7 amps None of the given options

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Answer 1

Here's how to solve this problem:

1. Determine the secondary voltage:

* The transformer has a 4:1 turns ratio. This means the secondary voltage is 1/4 of the primary voltage.
* Secondary voltage = 440V / 4 = 110V

2. Calculate the secondary current:

* The transformer's power rating is 2 kVA (kilovolt-amperes), which is equal to 2000 VA (volt-amperes).
* Secondary current (I_s) = Power (P) / Secondary voltage (V_s) = 2000 VA / 110V ≈ 18.18 A

3. Calculate the primary current:

* The primary current (I_p) and secondary current (I_s) are inversely proportional to the turns ratio.
* I_p = I_s * (Secondary turns / Primary turns) = 18.18 A * (1/4) ≈ 4.55 A

Therefore, the closest answer is 4.5 amps. The slight discrepancy is due to rounding during the calculations. The actual primary current is slightly higher than 4.5 amps.

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Q. What is the maximum allowable primary current of a 2 KVA step-down transformer with a four to one turns ratio if connected across a 440 volt line? 4.5 amps 18.1 amps 27.7 amps None of the given options

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