(Solved): Wednesdry Homework Problem 8.8 Comider the nystem below. A long solenoid carries a current I in the ...

Wednesdry Homework Problem 8.8 Comider the nystem below. A long solenoid carries a current I in the direction drawn. The point

is at the center of the solenoid. The solenoid has 600 tures over a length of 30 cm . Five loops of the solencid are drown as cument pointing into and out of the page. A long wive sho carries a curnent

and rums down the outside of the solenoid parallel to its asis. The center of the long wire is a distanct

from the point

. A short wiee inside the solesoid of length

is aho drawn and carries a current

. The short wiee is part of a larger cincuit. The center of the short wire is also a dintance

from the point

. Each wire and the solenold carries a current of

. REMEMBER, YOUR SOUUTION TO THIS PROBLEM MUST START WTH FORMULAS ON TME TEST 3 FORNMLA SMEET. (a)On the figure below draw the direction of the magnetic fleld of the solenold. Bew. the short wire segment. Balurf: and the long wire,

at point P. Label each field. (b)Calculate the field of the solenold at poist

ie the infinite solenoid approdimation. Report the field as a vector. (c)Calculate the field of the short wiee segment in the finite current slement approdimation at point P. Report the field as a vector. This will be a poor approximation to the actual feld. (d)Calculate the field of the long wire as as infieite stright eire at point

. . .eport the field ass a vector. This witt be a good approsimation to the actual field. Wednesday Homework Problem 8.8 Consider the system below. A long solenoid carries a current

in the direction drawn. The point

is at the center of the solenoid. The solenoid has 600 turns over a length of 30 cm . Five loops of the solenoid are drawn as current pointing into and out of the page. A long wire also carries a current

and runs down the outside of the solenoid parallel to its axis. The center of the long wire is a distance

from the point

. A short wire inside the solenoid of length

is also drawn and carries a current

. The short wire is part of a larger circuit. The center of the short wire is also a distance

from the point

. Each wire and the solenoid carries a current of

. REMEMBER, YOUR SOLUTION TO THIS PROBLEM MUST START WITH FORMULAS ON THE TEST 3 FORMULA SHEET. (a)On the figure below draw the direction of the magnetic field of the solenoid,

, the short wire segment,

, and the long wire,

, at point

. Label each field. (b)Calculate the field of the solenoid at point

in the infinite solenoid approximation. Report the field as a vector. (c)Calculate the field of the short wire segment in the finite current element approximation at point

. Report the field as a vector. This will be a poor approximation to the actual field. (d)Calculate the field of the long wire as an infinite straight wire at point

. Report the field as a vector. This will be a good approximation to the actual field.