Question

You have a 5 meter length of copper wire. The diameter of the wire is 0.5 mm Copper has a resistivity of p = 1.70*10^-18 ohms at room temperature.

A) What is the resistance of the wire?

B)Suppose you connect the wire to a battery, and shape the circuit to one circular loop. Sketch what the magnetic field looks like in this scenario. Include direction of current.

C) What is the magnetic field at the center of the loop. The battery is 3.00 V

D) Now consider coiling the wire so there are many, many, turns. Sketch what the magnetic field looks like in this scenario.

E) What is the magnetic field inside the coil if there are 500 turns that span 25 cm (20 turns/cm)? This is as densely as you can pack the turns.

F) A typical weak refrigerator magnet is about 5 * 10^-4 T and can pick up a paperclip. Could the coil from part E pick up a paperclip? If not, what are some things you can change to make it pick up a paperclip? If it can pick up a paperclip, what are some things you can do to increase its strength?

Answer 1

Lumgth ofttu wivu is 0.5กาาาวา 0.5 x 10m 4 ฤ~ 3.14 x (0.5%ได้3 ) 4 1962 x 10 1.70x10 m 9.0 -8 1 to x lox5 0 1963 x 10 6

.433 5 Rx 3.14 21T = 0.796 m of th bahuny i 0. 433

O 0 Вー .yoT 1 4T 6.928 Rx 0.796 B= 5.465x10-61, D. E. cm 1 o

-1 F) ラ at tham eagi กา9th by maximizing number1 cf turms thy surhmaxmzg Naltaque of th bather