INSTRUCTOR: Calculate the curl of electric field E if the corresponding magnetic field is B of t equal to angle bracket tx comma ty comma negative 2tz close angle bracket with 0 less than or equal to t less than infinity. Notice the curl of the electric field does not change over time although the magnetic field does change over time. Well the curl of the electric field curl of E is equal to, by a previous definition, negative the derivative of B with respect to t.

So for our function B of t, that would be equal to negative open angle bracket x comma y comma negative 2z, which means the curl of E is equal to angle bracket negative x comma negative y comma 2z end angle bracket.