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Statement-1 : A step up transformer can ...

Statement-1 : A step up transformer can also be used as a step down transformer.

Statement-2 : This is because `E_s/E_P`=`n_s/n_P`

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To solve the question, we need to analyze both statements provided: **Statement 1:** A step-up transformer can also be used as a step-down transformer. **Statement 2:** This is because \( \frac{E_s}{E_P} = \frac{n_s}{n_P} \). ### Step-by-Step Solution: 1. **Understanding Transformer Functionality:** - A transformer operates on the principle of electromagnetic induction and consists of two coils: the primary coil and the secondary coil. - The primary coil receives input voltage, while the secondary coil delivers output voltage. 2. **Step-Up Transformer:** - In a step-up transformer, the number of turns in the secondary coil (\( n_s \)) is greater than that in the primary coil (\( n_p \)). - This results in an increase in voltage from primary to secondary, which can be expressed as: \[ \frac{E_s}{E_P} = \frac{n_s}{n_P} > 1 \] - Here, \( E_s \) is the secondary voltage and \( E_P \) is the primary voltage. 3. **Reversing the Transformer:** - If we reverse the roles of the coils, making the secondary coil act as the primary coil and vice versa, the transformer can still function. - In this case, the original secondary coil (now acting as the primary) will have a higher number of turns than the original primary coil (now acting as the secondary). 4. **Step-Down Transformer:** - When the transformer is used in reverse, the voltage will decrease, making it function as a step-down transformer. - The relationship now becomes: \[ \frac{E_P}{E_s} = \frac{n_P}{n_s} < 1 \] - This indicates that the voltage across the new primary (originally secondary) is less than the voltage applied to it. 5. **Conclusion:** - Both statements are correct. A step-up transformer can indeed be used as a step-down transformer when the roles of the coils are reversed. - The relationship \( \frac{E_s}{E_P} = \frac{n_s}{n_P} \) explains the voltage transformation based on the turns ratio. ### Final Answer: Both Statement 1 and Statement 2 are correct. ---
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Knowledge Check

  • Assertion : A given transformer can be used to step-up ot step-down the voltage. Reason : The output voltage depends upon the ratio of the number of turns of the two coils of the transformer.

    A
    If both assertion ans reason are true ans reaason is the correct explanation of assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of assertion.
    C
    If assertion istrue but reason is false.
    D
    If both assertion and reason are false.
  • In a full wave junction diode rectifier, the input a.c. has r.m.s. value of 20 V. The transformer used is a step up transformer having primary and secondary turns ratio 1: 2. Calculate the d.c. voltade in the recitified output.

    A
    12 V
    B
    24 V
    C
    36 V
    D
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  • Assertion : An ideal transformer does not vary the power. Reason : An transformer is used to step-up or step-down ac voltages.

    A
    If both assertion ans reason are true ans reaason is the correct explanation of assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of assertion.
    C
    If assertion istrue but reason is false.
    D
    If both assertion and reason are false.
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