The figure shows a cross section across a long cylindrical conductor of radius $\backslash ($ a$=1\mathrm{.}85\backslash$mathrm$\{$~cm$\}\backslash )$ carrying uniform current $33\mathrm{.}5$ A $.$ What is the magnitude of the current's magnetic field at radial distance $($a$)0,($b$)0\mathrm{.}752$ cm $,($c$)1\mathrm{.}85$ cm $($wire$\text{'}$s surface$),($d$)2\mathrm{.}76$ cm $?$

$($a$)$ Number

Units

$($b$)$ Number

i

Units

$($c$)$ Number Units

$($d$)$ Number Units Hint

Assistance Used

How much of the total current is encircled by the Amperian loop at radius $\backslash ($ r $\backslash )?$ Do you realize that $\backslash ($ B $\backslash )$ is a constant magnitude and can be pulled out front of the integral? Do you see that the remaining integral gives the circumference?