$[1/3$ Points$]$

MY NOTES

SERPSE$1033\mathrm{.}1.$OP$\mathrm{.}001.$

An electric field is restricted to a circular area of diameter $d=10\mathrm{.}3cm$ as shown in the figure.

At the instant shown, the field direction is out of the page, its magnitude is $300\frac{V}{m},$ and its magnitude is increasing at a rate of $).$

$($a$)$ What is the direction of the magnetic field at the point $P,r=15\mathrm{.}5cm$ from the center of the circle?

upwards

downwards

$($b$)$ What is the magnitude of the magnetic field $($in T $)$ at the point $P,r=15\mathrm{.}5cm$ from the center of the circle?

Apply the extended form of Ampere's law. Note that $I=0$ in this case. What is the electric flux? What is the rate of change of the electric flux? T that the radius of the circular area of the electric field increases at a rate of $1\mathrm{.}00c\frac{m}{s}.$ What would the magnitude of the magnetic field be at point $P$ at this moment $($in T $)?$

Follow the same procedure as in part $($b$),$ but note now the flux changes in both the magnitude of the electric field and the area. How do you take this into account when finding the derivative of the flux? T