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("Weber" xx "ampere")/("meter") is equal...

`("Weber" xx "ampere")/("meter")` is equal to .

A

joule

B

newton

C

henry

D

watt

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of determining what \((\text{Weber} \times \text{Ampere})/\text{meter}\) is equal to, we will break it down step by step. ### Step 1: Understand the Units We start by identifying the units involved in the expression. - Weber (Wb) is the unit of magnetic flux. - Ampere (A) is the unit of electric current. - Meter (m) is the unit of length. ### Step 2: Write the Units in Fundamental Form Weber can be expressed in terms of fundamental units: 1 Weber = \(1 \, \text{kg} \cdot \text{m}^2/\text{s}^2/\text{A}\) So, we can rewrite the expression: \[ \text{Weber} \times \text{Ampere} = \text{Wb} \times \text{A} = \left( \frac{\text{kg} \cdot \text{m}^2}{\text{s}^2 \cdot \text{A}} \right) \times \text{A} \] ### Step 3: Simplify the Expression Now, we can simplify the expression: \[ \text{Wb} \times \text{A} = \frac{\text{kg} \cdot \text{m}^2}{\text{s}^2} \] Next, we divide by meter: \[ \frac{\text{Wb} \times \text{A}}{\text{m}} = \frac{\frac{\text{kg} \cdot \text{m}^2}{\text{s}^2}}{\text{m}} = \frac{\text{kg} \cdot \text{m}^2}{\text{s}^2 \cdot \text{m}} = \frac{\text{kg} \cdot \text{m}}{\text{s}^2} \] ### Step 4: Identify the Resulting Unit The resulting unit \(\frac{\text{kg} \cdot \text{m}}{\text{s}^2}\) is recognized as the unit of force, which is Newton (N). ### Conclusion Thus, the expression \((\text{Weber} \times \text{Ampere})/\text{meter}\) is equal to Newton. ### Final Answer The answer is **Newton**. ---

To solve the problem of determining what \((\text{Weber} \times \text{Ampere})/\text{meter}\) is equal to, we will break it down step by step. ### Step 1: Understand the Units We start by identifying the units involved in the expression. - Weber (Wb) is the unit of magnetic flux. - Ampere (A) is the unit of electric current. - Meter (m) is the unit of length. ...
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