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The SI unit of inductance the Henry can ...

The `SI` unit of inductance the Henry can not be written as :

A

weber/ampere

B

volt-second/ampere

C

`"joule"//("ampere")^(2)`

D

ohm/second

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the SI unit of inductance (Henry), we need to analyze the different options provided and determine which one cannot be expressed in terms of the unit of inductance. ### Step-by-step Solution: 1. **Understanding the Unit of Inductance**: The SI unit of inductance is the Henry (H). By definition, 1 Henry is the inductance of a circuit in which an electromotive force (EMF) of 1 volt is induced when the current through the circuit changes at the rate of 1 ampere per second. 2. **Expressing Henry in Base Units**: The Henry can be expressed in terms of basic SI units: \[ 1 \, \text{H} = 1 \, \text{V} \cdot \text{s/A} \] where: - \( \text{V} \) (Volt) = \( \text{J/C} \) (Joule per Coulomb) - \( \text{s} \) = seconds - \( \text{A} \) = amperes Thus, substituting for Volt: \[ 1 \, \text{H} = \frac{1 \, \text{J}}{1 \, \text{C}} \cdot \frac{1 \, \text{s}}{1 \, \text{A}} = \frac{1 \, \text{J} \cdot \text{s}}{1 \, \text{C} \cdot \text{A}} \] 3. **Analyzing the Options**: Now, we will analyze each option to see if it can be expressed in terms of Henry: - **Option A**: Ampere second (A·s) - This cannot be expressed as Henry. - **Option B**: Volt second per ampere (V·s/A) - This can be expressed as Henry. - **Option C**: Joule per ampere square (J/A²) - This can be expressed as Henry. - **Option D**: Ounce per second (oz/s) - This cannot be expressed as Henry. 4. **Conclusion**: The options that cannot be expressed as Henry are **Option A (Ampere second)** and **Option D (Ounce per second)**. However, since the question asks for which one cannot be written as Henry, we conclude that **Option A (Ampere second)** is the correct answer. ### Final Answer: The SI unit of inductance, the Henry, cannot be written as **Ampere second (A·s)**.

To solve the question regarding the SI unit of inductance (Henry), we need to analyze the different options provided and determine which one cannot be expressed in terms of the unit of inductance. ### Step-by-step Solution: 1. **Understanding the Unit of Inductance**: The SI unit of inductance is the Henry (H). By definition, 1 Henry is the inductance of a circuit in which an electromotive force (EMF) of 1 volt is induced when the current through the circuit changes at the rate of 1 ampere per second. 2. **Expressing Henry in Base Units**: ...
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The SI unit of inductance, the henry can be written as :

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Knowledge Check

  • The unit of inductance is

    A
    `("volt"xx"ampere")/("second")`
    B
    `("ampere")/("volt"xx"second")`
    C
    `("volt")/("ampere"xx"second")`
    D
    `("volt"xx"second")/("ampere")`
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