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Question

Suppose this page is perpendicular to a uniform magnetic field and the magnetic flux through it is 5 wb. (The “weber” is the unit for magnetic flux, given by volts×seconds.) If the page is turned by 30 degrees around an edge the flux through it will be:


A

2.5 wb

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B

4.3 wb

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C

5.0 wb

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D

5.8 wb

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Solution

The correct option is B

4.3 wb


Step 1: Given data

Magnetic fluxφ=5 Wb

Step 2: Calculation of the flux

The formula to calculate the flux is:

φ=BAcosθ

By substituting the values, we get

5= BA

Here area vector and the magnetic field are in the same direction so the angle is zero.

So,

cos0°=1

Now cosθ=30°

Cos30°=0.866

Therefore,

φ=BAcos30°φ=5(0.866)φ=4.3wb

Step 3: Final answer

Hence, If the page is turned by 30 degrees around an edge the flux through it will be:4.3 Wb


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