Question

A circular disc of radius 0.2 m is placed in a uniform magnetic field of induction in $1 over straight pi open parentheses Wb over straight m squared close parentheses$ such a way that its axis makes an angle of 60^o with. $bold B with bold rightwards arrow on top$ The magnetic flux linked with the disc is

0.02 Wb

0.06 Wb

0.05 Wb

0.01 Wb

Solution

0.02 Wb

The magnetic flux Φ passing through a plane surface of area A placed in a uniform magnetic field B is given by
Φ = BA Cos θ
where θ is the angle between the direction of B and the normal to the plane.
Here,
$straight theta space equals 60 to the power of straight o space comma space straight B space equals space 1 over straight pi space Wb divided by straight m squared comma space straight A space equals space straight pi space left parenthesis 0.2 right parenthesis squared therefore comma space straight ϕ space equals space 1 over straight pi space straight x space straight pi space left parenthesis 0.2 right parenthesis squared space straight x space cos space 60 space equals space left parenthesis 0.2 right parenthesis squared space straight x space 1 half space equals space 0.02 space Wb$

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Electric Charges And Fields

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?

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