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The turn ratio in a step up transformer is 1 : 2. If a cell of 1.5 V is connected across the input, then the voltage across the output will be
- a)0.1 V
- b)1.5 V
- c)0.75 V
- d)zero
Correct answer is option 'D'. Can you explain this answer?
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The turn ratio in a step up transformer is 1 : 2. If a cell of 1.5 V ...
Step-Up Transformer and Turn Ratio
A step-up transformer is a device that increases the voltage of an alternating current (AC) signal. It consists of two coils, the primary coil and the secondary coil, which are wound around a common iron core. The turn ratio of a transformer represents the ratio of the number of turns in the primary coil to the number of turns in the secondary coil.
In this question, the turn ratio is given as 1:2. This means that for every one turn in the primary coil, there are two turns in the secondary coil.
Voltage Transformation in a Step-Up Transformer
When an AC voltage is applied to the primary coil of a step-up transformer, an alternating magnetic field is created in the iron core. This magnetic field induces an electromotive force (EMF) in the secondary coil according to Faraday's law of electromagnetic induction.
The voltage across the secondary coil is directly proportional to the number of turns in the secondary coil. In the given question, since the turn ratio is 1:2, the voltage across the secondary coil will be twice the voltage across the primary coil.
Calculating the Output Voltage
According to the question, a cell of 1.5V is connected across the input. The input voltage is the voltage across the primary coil, which is 1.5V. Since the turn ratio is 1:2, the output voltage will be twice the input voltage.
Therefore, the output voltage will be:
Output voltage = 2 * Input voltage = 2 * 1.5V = 3V.
However, the correct answer given in the options is zero (option D). This implies that the output voltage across the secondary coil is zero.
Explanation for Zero Output Voltage
In a transformer, the output voltage is only generated when there is a changing magnetic field in the core. In this question, it is not mentioned whether the primary coil is connected to an AC source or a DC source.
If the primary coil is connected to a DC source (such as a cell), the current through the coil will be constant and there will be no changing magnetic field. Therefore, no voltage will be induced in the secondary coil and the output voltage will be zero.
This is why the correct answer for the voltage across the output is zero (option D) in this scenario.
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The turn ratio in a step up transformer is 1 : 2. If a cell of 1.5 V ...
A transformer cannot step up a d.c. input so output potential here will be zero. No potential will be induced in the secondary coil.
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The turn ratio in a step up transformer is 1 : 2. If a cell of 1.5 V is connected across the input, then the voltage across the output will bea)0.1 Vb)1.5 Vc)0.75 Vd)zeroCorrect answer is option 'D'. Can you explain this answer?
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