Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Ideas in Flux Magnetic flux: (T.m2 = Wb) The magnetic flux, , is the product of

ID: 1309867 • Letter: I

Question

Ideas in Flux Magnetic flux: (T.m2 = Wb) The magnetic flux, , is the product of the area of concern times the perpendicular component of the magnetic field (B.A). For a solenoid, the magnetic field is uniform and B = mu o| (N/L) where N/L is the number of turns per length in the solenoid. This gives a flux inside the solenoid of B.A = mul (N/L) pir2 = where r is the radius of the solenoid and p is the permeability of the material in the solenoid core. Magnetic Flux through a conducting loop Suppose we have a uniform magnetic field of 2 T pointing upward. A square loop of wire is able to rotate about a horizontal axis and measures 10 cm on a side. For each of the following orientations, calculate the magnetic flux through the loop (they are different).

Explanation / Answer

Flux through a loop is given by : Q = B*A

where B = component of magnetic field perpendicular to the area

A = area = 10 cm * 10cm = 100 cm^2 = 0.01 m2

So,

<>for loop pependicular to field.

flux , Q = B*A = 2*0.01 = 0.02 Wb <-------answer

<>for loop parallel to field, B = 0 <----as there is no field pependicular to area.

So, Q = 0 <--------------answer

<> For the orientation,

component of field perpendicular to area = B*sin(60) = 2*sin(60 degrees)

So, flux = 2*sin(60 degrees)*0.01 = 0.017 Wb <-----------answer

Yes , as we see from the results of the 3 cases, we see that as the loop rotates, the magnetic flux changes.

We see that ,

induced voltage is given by :   V = -NBAW*cos(Wt)

where W = angular speed of rotation

as rotation rate(W) increases, induced voltage will also increase <------------answer

if a loop with larger area(A) is used, induced voltage will again increase <---------answer

weaker magneitc field(B) is used, induced voltage will decrease <-------------answer

Yes, if we place a loop perpendicularly above a magnetic field, and then decreased its area, then also voltage will be induced.

Explanation : Faraday's law states that induced voltage is directly proportional to the rate of change of flux.

AS flux is the product of magnetic field and area, so as area is changed induced voltage will appear

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote