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31) A electric motor has a magnetic flux density of 30 Tesla's which covers an area of 250mm^2 . What is the motor's magnetic flux value? a) 75 Wb b) 750 Wb C) 7 .5mWb d) 7 .5uWb

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31) A electric motor has a magnetic flux density of 30 Tesla's which covers
an area of 250mm^2 . What is the motor's magnetic flux value?
a) 75 Wb
b) 750 Wb
C) 7 .5mWb
d) 7 .5uWb

31) A electric motor has a magnetic flux density of 30 Tesla's which covers an area of 250mm^2 . What is the motor's magnetic flux value? a) 75 Wb b) 750 Wb C) 7 .5mWb d) 7 .5uWb

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DelilahElite · Tutor for 8 years

Answer

Performing the calculations we get \(\Phi = 7.5 \times10^{-3}\ Wb\), Which can be represented as \(7.5 mWb\). Picking from the options, the answer is c) \(7.5 mWb\).

Explain

## Step1: In the given question, we are given the magnetic flux density (B = 30 tesla) and the area (A = 250 mm²) across which it is spread. We have to find the magnetic flux (\(\Phi\)).<br />## Step2: The magnetic flux is the amount of magnetic field passing through a particular area and is calculated using the formula: <br />### **\(\Phi = B \times A\)** <br />## Step3: We have B = 30 T and the area is given in mm² which needs to be converted to m² as the standard unit of area in Physics is m². So, A = 250 mm² = 250 * 10^-6 m².<br />## Step4: Substituting these values in the magnetic flux equation from Step 2, we get \(\Phi = 30 T \times 250 \times 10^-6 m²\).<br />## Step5: Calculate the above multiplication to find the magnetic flux.
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