A long, thin superconducting wire carrying a $12$ A current passes through the center of a thin, $1\mathrm{.}6-$cm$-$diameter ring. A uniform electric field of increasing strength also passes through the ring, parallel to the wire. The net magnetic field inside the ring is zero.

$($A$)$ At what rate is the electric field strength increasing? Hint: Changing electric field creates a magnetic field as well as a current carrying wire. Use e$0$ for $0..$

dEdt$=.$

$($B$)$ Is the electric field in the direction of the current or opposite to the current?

In the direction of the current.

Opposite to the current.