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A step down transformer connected to an ac mains supply of 220V is made to operate at 11 V, 44 W lamp. Ignoring power losses in the transformer, what is the current in the primary circuit?
- a)0.2A
- b)0.4A
- c)2A
- d)4A
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A step down transformer connected to an ac mains supply of 220V is mad...
Power loss is zero. Hence, output Power is equal to input Power.
So, Input Power, P1 = 44 W
⇒ V1i1 = P1
So, Input Power, P1 = 44 W
⇒ V1i1 = P1
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Community Answer
A step down transformer connected to an ac mains supply of 220V is mad...
Step down transformer:
A step down transformer is a type of transformer that reduces the voltage from the primary circuit to a lower voltage in the secondary circuit. In this case, the transformer is connected to an AC mains supply of 220V and is made to operate at 11V.
Power equation:
The power equation is given by P = VI, where P is power, V is voltage, and I is current. In this case, the power of the lamp is given as 44W.
Power in primary circuit:
Since the transformer is ideal and power losses are ignored, the power in the primary circuit is equal to the power in the secondary circuit. Therefore, the power in the primary circuit is also 44W.
Voltage ratio:
The voltage ratio of a transformer is given by the ratio of the number of turns in the primary coil to the number of turns in the secondary coil. In this case, the transformer is a step down transformer, so the voltage ratio is less than 1.
Current equation:
Using the power equation, we can find the current in the primary circuit. The power equation can be rearranged as I = P/V, where I is current, P is power, and V is voltage.
Calculating the current:
To find the current in the primary circuit, we need to use the voltage ratio. Since the voltage in the primary circuit is 220V and the voltage in the secondary circuit is 11V, the voltage ratio is 220/11 = 20.
Using the current equation, we can calculate the current in the primary circuit: I = 44W / 220V = 0.2A.
Therefore, the current in the primary circuit is 0.2A.
Conclusion:
The correct answer is option A) 0.2A. The current in the primary circuit is 0.2A based on the power equation and the voltage ratio of the step down transformer.
A step down transformer is a type of transformer that reduces the voltage from the primary circuit to a lower voltage in the secondary circuit. In this case, the transformer is connected to an AC mains supply of 220V and is made to operate at 11V.
Power equation:
The power equation is given by P = VI, where P is power, V is voltage, and I is current. In this case, the power of the lamp is given as 44W.
Power in primary circuit:
Since the transformer is ideal and power losses are ignored, the power in the primary circuit is equal to the power in the secondary circuit. Therefore, the power in the primary circuit is also 44W.
Voltage ratio:
The voltage ratio of a transformer is given by the ratio of the number of turns in the primary coil to the number of turns in the secondary coil. In this case, the transformer is a step down transformer, so the voltage ratio is less than 1.
Current equation:
Using the power equation, we can find the current in the primary circuit. The power equation can be rearranged as I = P/V, where I is current, P is power, and V is voltage.
Calculating the current:
To find the current in the primary circuit, we need to use the voltage ratio. Since the voltage in the primary circuit is 220V and the voltage in the secondary circuit is 11V, the voltage ratio is 220/11 = 20.
Using the current equation, we can calculate the current in the primary circuit: I = 44W / 220V = 0.2A.
Therefore, the current in the primary circuit is 0.2A.
Conclusion:
The correct answer is option A) 0.2A. The current in the primary circuit is 0.2A based on the power equation and the voltage ratio of the step down transformer.
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A step down transformer connected to an ac mains supply of 220V is made to operate at 11 V, 44 W lamp. Ignoring power losses in the transformer, what is the current in the primary circuit?a)0.2Ab)0.4Ac)2Ad)4ACorrect answer is option 'A'. Can you explain this answer?
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