(Solved): A magnetic field directed into the page changes with time according to \( B=0.0570 t^{2}+1.40 \), ...

A magnetic field directed into the page changes with time according to \( B=0.0570 t^{2}+1.40 \), where \( B \) is in teslas and \( t \) is in seconds. The field has a circular cross section of radius \( R=2.50 \mathrm{~cm} \). (see figure below). (a) When \( t=2.40 \mathrm{~s} \) and \( r_{2}=0.0200 \mathrm{~m} \), what is the magnitude of the electric field at point \( P_{2} \) ? N/C (b) When \( t=2.40 \mathrm{~s} \) and \( r_{2}=0.0200 \mathrm{~m} \), what is the direction of the electric field at point \( P_{2} \) ? perpendicular to \( r_{2} \) and clockwise out of the page into the page perpendicular to \( r_{2} \) and counterclockwise