function of r for each region below, in terms of a, b, and any physicalpage, uniformly distributed along its surface. Find the magnetic field as athrough its cross-section, and the shell carries a total current /, into thethick wire carries a total current 1 out of the page, uniformly distributedthin cylindrical shell of radius b. (Neglect the thickness of the shell.) TheA long, thick cylindrical wire of radius a is surrounded by a long.B6.1.or numerical constants, and circle its direction.(a)B(a b) outside the shellCircle the direction: (clockwise ) (counter-clockwise ) (another direction) (there is no field)

(a) Using ampere’s law for a <r < b ∮B→·dl→=μ0IencB2πr=μ0I0B=μ0I02πr Using right hand rule, the direction of the field is in the counter-clockwise direction(b) Using Ampere’s law for r > b ∮B→·dl→=μ0IencB2πr=μ0I0-I0B=0 There's no field

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B6. A long, thick cylindrical wire of radius a is surrounded by a long. thin cylindrical shell of radius b. (Neglect the thickness of the shell.) The thick wire carries a total current 1 out of the page, uniformly distributed through its cross-section, and the shell carries a total current /, into the page, uniformly distributed along its surface. Find the magnetic field as a function of r for each region below, in terms of a, b, and any physical b. or numerical constants, and circle its direction. (a) B(a b) outside the shell (c) ( there is no field) Circle the direction: (clockwise) (counter-clockwise) (another direction)

B6. A long, thick cylindrical wire of radius a is surrounded by a long. thin cylindrical shell of radius b. (Neglect the thickness of the shell.) The thick wire carries a total current 1 out of the page, uniformly distributed through its cross-section, and the shell carries a total current /, into the page, uniformly distributed along its surface. Find the magnetic field as a function of r for each region below, in terms of a, b, and any physical b. or numerical constants, and circle its direction. (a) B(a b) outside the shell (c) ( there is no field) Circle the direction: (clockwise) (counter-clockwise) (another direction)