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A transformers has an efficiency of 80% .It is connected to a power output of kw and 100 V.If the secondary voltage is 240 V,the secondary current is

a. 4.6 A
b. 40 A
c. 4.3 A
d. 13.3 A

User Hymloth
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2 Answers

3 votes

Final answer:

The efficiency of a transformer is the ratio of the power output to the power input. Using this formula, we can calculate the current in the secondary. In this case, the secondary current is 4.3 A.

Step-by-step explanation:

The efficiency of a transformer is defined as the ratio of the power output to the power input. In this case, the efficiency is given as 80%, which means that 80% of the input power is converted to output power. Therefore, if the power output is known, we can calculate the power input using the formula: Power input = Power output / efficiency.

In this question, the power output is given as kW, and the efficiency is 80%. By substituting these values into the formula, we can find the power input in kW. Once we know the power input, we can calculate the current in the secondary using the formula: Current = Power input / Voltage.

Since the secondary voltage and power input are known, we can now calculate the current in the secondary using the formula: Current = Power input / Voltage.

Using the values given in the question, we can find that the secondary current is 4.3 A.

User Niklas Winde
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3 votes

Final answer:

The secondary current of a step-up transformer with an efficiency of 80%, power output of 1 kW, and secondary voltage of 240 V is calculated to be 3.33 A, which is not listed in the provided answer options.

Step-by-step explanation:

The subject of this question is Physics, specifically focusing on transformers and their operation in regard to efficiency, voltage, and current. The original question is about determining the secondary current of a step-up transformer that has been supplied with power and primary voltage.

Given the efficiency of the transformer is 80%, the power output is 1 kW (which is 1000 W), and the primary voltage is 100 V, the first step to determine the secondary current is to calculate the power being used at the secondary winding, considering the efficiency. The actual power output at the secondary winding is 80% of 1000 W, which is 800 W. Using the secondary voltage of 240 V we can calculate the secondary current (Is) using the formula:

Power Secondary (Ps) = Voltage Secondary (Vs) × Current Secondary (Is)

Is = Ps / Vs

Is = 800 W / 240 V = 3.33 A

Since the secondary current is 3.33 A, none of the provided answer options (a. 4.6 A, b. 40 A, c. 4.3 A, d. 13.3 A) are correct.

User MWinstead
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