A metal disk rotates about its central axis at an angular frequency of 800 radians per second in a uniform magnetic field of 0.8 T.The diameter of the disk is 8 cm.What is the magnitude of the voltage difference between the center and edge of the disk?
A)0 V
B)0.80 V
C)0.51 V
D)1.0 V
E)3.1 V

Question

Quizplus · Accepted Answer

The magnitude of the voltage difference between the center and the edge of the disk can be calculated using the formula:

V = Bωr^2/2

where B is the magnetic field strength, ω is the angular frequency, and r is the radius of the disk.

In this case, B = 0.8 T, ω = 800 rad/s, and r = 4 cm = 0.04 m (half of the diameter).

Plugging these values into the formula, we get:

V = (0.8 T)(800 rad/s)(0.04 m)^2/2 = 0.512 V

Therefore, the answer is choice C, 0.51 V (rounded to two significant figures).

A Metal Disk Rotates About Its Central Axis at an Angular