$*$ P$18$ In Figure $22\mathrm{.}68$ the magnetic field is uniform and out of the page inside a circle of radius $R,$ and is essentially zero outside the circular region. The magnitude of the magnetic field is changing with time; as a function of time the magnitude of the magnetic field is $(B_0+b{t}^3),$ where $B_0=1\mathrm{.}5T,b=1\mathrm{.}4\frac{T}{s^3},r_1=3\mathrm{.}6cm,r_2=51cm,t=1\mathrm{.}3s,$ and $R=17cm.$

$($a$)$ What is the direction of the electric field at location $P,$ a distance $r_1$ to the left of the center