- #1

OONeo01

- 18

- 0

## Homework Statement

This is a question asked in one of my papers.

A time dependent magnetic field [itex]\vec{B}[/itex](t) is produced in a circular region of space, infinitely long and of radius R. The magnetic field is given as [itex]\vec{B}[/itex]=B

_{0}t[itex]\hat{z}[/itex] for 0≤r<R and is zero fr r>R, where B

_{0}is a positive constant. The Electric field for r>R is:

A.)(B

_{0}R

^{2}/r)[itex]\hat{r}[/itex]

B.)(B

_{0}R

^{2}/2r)[itex]\hat{θ}[/itex]

C.)-(B

_{0}R

^{2}/r)[itex]\hat{r}[/itex]

D.)-(B

_{0}R

^{2}/2r)[itex]\hat{θ}[/itex]

## Homework Equations

Maxwells Equations

## The Attempt at a Solution

I started with ∇χE=-∂B/∂t=-B

_{0}

I can see the unit vectors are spherical in the options given. And there is a negative sign which I have gotten from the above Maxwell's Equation. So I am assuming the answer is either Option C or D.

Regardless, what should be my next step ? Can somebody just tell me which formulae(or relations) to use in what order, I would appreciate it.