Question

A long, hollow, cylindrical conductor (inner radius 8.0 mm, outer radius 16.0 mm) carries a current of 14 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 14 A in the opposite direction. What is the magnitude of the magnetic field at the following distances from the central axis of the wire and cylinder? (a) 4.0 mm 0.00071 (b) 12.0 mm 0.0002333 X T (c) 20.0 mm 0.00014 X T

Answer 1

Solation! Past(a)! if x = 4 mm. Consider a circular loop of radius 8= 4mm. art as amperian loop. & B. do = ello len. & B de caso = llogen 1 = 14 Bode = (4x167) (4) BX Dicr = 568X107 B = SZRX167 Quer Ž8x107 Axio3 B 7810* T OR 0.0007 T

Port (b): Consider radius r a circular amperian krop of 12mm. &Bice = el Ten B & de = lo ten B. (2x) - do (I-I') . L- Where I' = I 1 KER, /82- R ) J': vo I', (19A), 80 19 I's 5.833A PI = 14A5 . B= (28167) (14-5.812) 128103 B = 1.36x10t T OR 8= 0.000 136 T ]

Part (C): if r= 20mm. Bide = llolon B& d = llo (I - I2 ) Bratr = 6 { I = I2 = 14A) B-OT