Question

The solenoid is bent around into a ring with its ends almost touching, forming a donut shape (with inner radius ri and outer radius r2). (a) Use geometrical considerations and sketch the magnetic field inside the donut-shaped o visolenoid when a current is flowing through its wire. O bluow woll (i) l od en ome od tud) boeh (b) By applying Ampere's Law, or using the strength of the magnetic field in terms of the current I at the following locations: some other argument, determine an expression for A ba(iwithin the solenoid, at the centre of the winding (at radius o nol(ii) outside the solenoid in the space in the middle of the donut ring (at radiusr<r). = (ri+ r2)/2), and T

Answer 1

RO000OOoooooo000000oo00000o0ooooo0o0 B

-polnt_mside the donut adanut Bat i A solemetd in thehape of to roíd) Accerding Amptre's Lau Bd o Lenclosed of B cou ld be feund ut cases uheae Lenciosed flousog theug malasp The magmihud Symmetcal to tal aurremt neam S nghpeslaw aLanclosed. Let num be of turms Theufeu totaunt Asnprtaean loop I cuYient ihxough each turm NI enelosed (Au)n4n). INrt 4f there per unit kng thun aue m tunmy B 2 aTR eomI (ike a soenoid) Inside the Q - Mapneh feld liaes torgid aue concem bric

oubi de the solenerd the middle ofing the space in Aerding h hrapaes law uo Lemlased B de Now herenscleung within (oubid the he middl of the enclosed curmt STheatfere am pertamleap lomut Otn A neaY Ying eu aa mo