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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 ______ .
Quantity of flux through the loop ABCDEFA
- Area of ABCD =25
- Area of ADEF=25 î
- Magnitude of magnetic field =
where,
- Φ= Magnetic flux,
- B =magnitude of the magnetic field,
- A =area of the surface
firstly we find the net Area,so
Total area= area of ABCD+ area of ADEF
A= 25î + 25
Put the value of area and magnitude of magnetic field in the given formula,
Φ=B.A
ϕ = 25 x 3 + 25 x 4
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