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The SI unit of electrical resistance is ...

The SI unit of electrical resistance is Ohm which is defined as

A

1 Ohm= 1VA

B

`1 Ohm=1 VA^(-1)`

C

`1 Ohm=1WA`

D

`1 Ohm=1WA^(-1)`

Text Solution

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The correct Answer is:
To define the SI unit of electrical resistance, which is the Ohm, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Electrical Resistance**: - Electrical resistance is a measure of the opposition to the flow of electric current in a conductor. 2. **Identifying the SI Unit**: - The SI unit of electrical resistance is the Ohm, symbolized by the Greek letter Omega (Ω). 3. **Defining One Ohm**: - One Ohm can be defined in terms of voltage and current. According to Ohm's Law, the relationship between voltage (V), current (I), and resistance (R) is given by the formula: \[ R = \frac{V}{I} \] - Here, R is the resistance in Ohms, V is the voltage in Volts, and I is the current in Amperes. 4. **Specific Definition of One Ohm**: - Therefore, one Ohm is defined as the resistance of a conductor when a potential difference of 1 Volt is applied across it, causing a current of 1 Ampere to flow through it. - Mathematically, this can be expressed as: \[ 1 \, \text{Ohm} = \frac{1 \, \text{Volt}}{1 \, \text{Ampere}} \] 5. **Conclusion**: - Thus, the correct definition of one Ohm is that it is equal to 1 Volt per 1 Ampere, or in terms of units: \[ 1 \, \text{Ohm} = 1 \, \text{Volt} \cdot \text{Ampere}^{-1} \] ### Final Answer: The SI unit of electrical resistance, the Ohm, is defined as: \[ 1 \, \text{Ohm} = 1 \, \text{Volt} \cdot \text{Ampere}^{-1} \]
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Knowledge Check

  • SI unit of electric flux is

    A
    Wb
    B
    ` NC ^(-1) `
    C
    V m
    D
    `J C ^(-1) `
  • SI unit of electric capacitance is:

    A
    a coulomb (1C)
    B
    a volt (1V)
    C
    a farad (1F)
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    a volt-metre (1V-m)
  • SI unit of electric capacitance is :

    A
    a coulomb (IC)
    B
    a volt (1V)
    C
    a farad (IF)
    D
    a volt-metre (1V - m)
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