Linear Algebra Linear Algebra PHYS 2122 Physies for Scientists and Engineers II

Question

Linear Algebra Linear Algebra PHYS 2122 Physies for Scientists and Engineers II Laboratory Basic Magnetism Post Lab (both sides) You may use your calculator and your notes, but no friends 1. There are swing setups on the tables for the swing demonstration, Le. a metal swing is hanging on top of a magnet with, in this case, its top pole clearly identified and wires connecting the metal swing to the leads on a supply (note the polarities of the wires, i.e. which wire is connected to the positive (red wire on holder assumed to be positive) terminal and which to the negative terminal (assumed to be the black wire). You are not allowed to touch anything, just observe the static setup. Your task: predict which way the swing will swing, toward the bend in the horseshoe magnet or toward the open end, should the battery swing circuit be activated Identify the setup (Designated Letter) and then circle your prediction: Toward bend end Toward open end Letter Designation for Setup 2. Consider the illustration of a solenoid shown below. The green arrows indicate the direction of the magnetic field of the solenoid. If one looks up from below the solenoid the direction of the current in the coil is a) clockwise b) conterclockwise 3. Suppose the magnetic field near (at a distance of 3.0 cm from its center) a permanent magnet is 4.0mT. What would be a reasonable value for the magnetic field at 6.0 cm from its center? Show how you arrive at your answer. a) 0.1 mT b) 0.5 mT c) 1.5 mT d) 2.5 mT e) 32.0 mT

Explanation / Answer

Question No. 2

From the Right-hand corkscrew rule, it can be observed that the direction of magnetic flux is such that the lower end appears to be a south pole of the electromagnet ( here solenoid) and hence the current direction in the coil will be clockwise if seen from below the solenoid.

Question No. 3

The magnetic field (B) at a distance r from the permanent magnet is inversely proportional to r3 .

B= k/ r3 , where k is the constant of proportionality.

B1/B2 = (r1/r2)3

let B2 = 4.0 mT and r2= 3.0 cm. r1= 6.0 cm

B1= B2 * (r1/r2)3 = 4.0 * (3.0 / 6.0 )3 = 0.5 mT

hence, option (b) is correct.

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