3. A uniform magnetic field pointing out of the page has a changing field strength B(t) = at² + c in teslas and t time in seconds where a and c are constants. This magnetic field has a circular cross-section of radius R. (a) State the expression for Faraday's law. Write down its connection in terms of electric and magnetic fields starting with electromotive force, E. (b) Determine the magnitude of electric field at t = 2 seconds and position from center of cross section at r = (1/2)R.
3. A uniform magnetic field pointing out of the page has a changing field strength B(t) = at² + c in teslas and t time in seconds where a and c are constants. This magnetic field has a circular cross-section of radius R. (a) State the expression for Faraday's law. Write down its connection in terms of electric and magnetic fields starting with electromotive force, E. (b) Determine the magnitude of electric field at t = 2 seconds and position from center of cross section at r = (1/2)R.
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