Physics, asked by Mystery0001, 9 months ago

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Answered by gokkulkrishnaa
0

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Answered by LoverLoser
8

\boxed{\bf{ \red{\bigstar Question \longrightarrow }}}

A loop ABCDEFA of straight edges has six corner points A(0,0,0), B(5,0,0), C(5,5,0), D(0, 5, 0), E(0, 5, 5) and F(0, 0, 5). The magnetic field in this region is vector B = (3i + 4k)T. The quantity of flux through the loop ABCDEFA (in Wb) is ______ .

\boxed{\bf{ \blue{\bigstar Find \longrightarrow }}}

Quantity of flux through the loop ABCDEFA

\boxed{\bf{ \purple{\bigstar Given \longrightarrow }}}

  • Area of ABCD =25 \sf{\hat k}
  • Area of ADEF=25 î
  • Magnitude of magnetic field = \sf{(3 \hat i+4\hat j )T}

\boxed{\bf{ \orange{\bigstar Formula \ used \longrightarrow }}}

\bf{\phi = B.A}

where,

  • Φ= Magnetic flux,
  • B =magnitude of the magnetic field,
  • A =area of the surface

\boxed{\bf{ \green{\bigstar SoLution \longrightarrow }}}

firstly we find the net Area,so

Total area=  area of ABCD+ area of ADEF

A= 25î + 25 \hat k

Put the value of area and magnitude of magnetic field in the given formula,

Φ=B.A

ϕ = 25 x 3 + 25 x 4

\boxed{\sf{\pink{\phi = 175wb \bigstar }}}

hence,The quantity of flux through the loop ABCDEFA 175Wb

(For Figure refer the attachment)

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More info-

  • Magnetic flux is total no. of magnetic field lines which passes through a given area.

  • Magnetic flux is the product of the magnetic field and  perpendicular area that it crosses.

  • Magnetic flux = Magnetic field × Area × (angle between the planar area and the magnetic flux)

The equation is:

Φ = B A cos(θ)

Where:

Φ: Magnetic Flux

A: Area

B: Magnetic field

θ: angle between a perpendicular vector to the area and the magnetic field

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