Interactive LearningWare 22.2 provides a review of the concepts that are importa

Question

Interactive LearningWare 22.2 provides a review of the concepts that are important in this problem.

A constant magnetic field passes through a single rectangular loop whose dimensions are 0.35 m 0.55 m. The magnetic field has a magnitude of 2.1 T and is inclined at an angle of 60° with respect to the normal to the plane of the loop.

(a) If the magnetic field decreases to zero in a time of 0.40 s, what is the magnitude of the average emf induced in the loop?
V

(b) If the magnetic field remains constant at its initial value of 2.1 T, what is the magnitude of the rate A / t at which the area should change so that the average emf has the same magnitude as in part (a)?
m2/s

Additional Materials

Section 22.4

Explanation / Answer

here,

the dimension of the rectangle , A = 0.35 m * 0.55 m

magnetic feild , B = 2.1 T

theta = 60 degree

(a)

t = 0.4 s

the average EMF induced , EMF = change in magnetic flux /time taken

the average EMF induced , EMF = B*A*cos(theta) /t

EMF = 2.1 * 0.35 * 0.55 *cos(60) /0.4

EMF = 0.51 V

the average EMF induced in the loop is 0.51 V

(b)

EMF = B*cos(theta) * ( delta A /delta t)

0.51 = 2.1 * cos(60) * ( delta A /delta t)

( delta A /delta t) = 0.49 m^2/s

the magnitude of the rate at which the area should change is 0.49 m^2/s

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.