Chapter 21, problem 2

Chapter 21, problem 2. 

The magnetic field B in a certain region is x₁ T, and its direction is that of the +z axis in figure 21.47.
(a) What is the magnetic flux across the surface abcd in the figure?

(b) What is the magnetic flux across the surface befc?

(c) What is the magnetic flux across the surface aefd?



(d) What is the net magnetic flux through all five surfaces that enclose the shaded volume?

Chapter 21, Problem 4

Chapter 21, Problem 4. 

A single loop of wire with an area of x₁ m² is in a uniform magnetic field that has an initial value of x₂ T, is perpendicular to the plane of the loop, and is decreased with the constant rate of x₃ T/s.
(a) What emf is induced in this loop?

(b) If the loop has a resistance of x₄ Ω, find the current induced in the loop.

Chapter 21, problem 7

Chapter 21, problem 7.  

 A closely wound rectangular coil of N turns has dimensions of x₁ cm by x₂ cm. The plane of the coil is rotated from a position where it makes an angle of x₃ᵒ with a magnetic field of x₄ T to a position perpendicular to the field. The rotation takes x₅ s.
What is average emf induced on the coil?