An oscillating, vertically$-$oriented magnetic field is given by B$($t$)=$B$0$sin$($t$)$B$($t$)=$B$0$sin$($t$),$ where B$0$B$0=0\mathrm{.}63$ T and $=6\mathrm{.}5$ rad$/$s$.$

$$ Part $($a$)$

What is the magnetic flux, in webers, through a horizontal circle of radius $15\mathrm{.}5$ cm at t $=0?$

$=0\mathrm{.}0080000\mathrm{.}008000$Wb$$Attempts$$Remain

$$ Part $($b$)$

What is the time derivative of the magnetic flux, in webers per second, through this circle at t $=0?$

$$ Part $($c$)$

What is the magnitude of the electric field, in newtons per coulomb, around the circumference of the circle at t $=0?$