Question

We will use the same coordinate system for a number of the questions on this exam.

Place a sheet of paper flat on a table in front of you as you sit facing it.
In the horizontal plane toward the right side of the paper is the positive x direction.
In the horizontal plane toward the top of the paper ( away from you in the direction you are facing ) is the positive y direction.
In the vertical direction toward the ceiling is the positive z direction
A spatially uniform magnetic field is steadily changing its size. When a clock reads 2.00s the field is 1.75T in the positive z direction. In the x y plane there is a coil of wire with 55 loops and an area of 0.12m%. The EMF ( voltage change) from one end of the coil to the other is a steady 12.7 Volts. One of these is the magnetic field when the clock reads 2.37s. Which is it?

Answer 1

Step-by-step explanation:

Let the magnetic field after .37 s is B

magnetic flux associated with coil = n BA , where B is magnetic field and A is area of coil and n is no of turns

= 55 x .12 x 1.75

= 11.55 Tm²

magnetic flux after .37 s

= 55 x B x .12

= 6.6 B

rate of change of flux = (66B - 11.55) / .37 = EMF induced

(6.6B - 11.55) / .37 = 12.7

6.6 B - 11.55 = 4.7

6.6 B = 16.25

B = 2.46 T .