3 Vector potentialConsider a homogeneous magnetic field in z-direction, B = (0,0, B).a.) Determine 2 possible vector potentials A and A' for B such that A only has an z-component and A'only has a y-component.b.) Show that these two vector fields A and A' are related by a gauge transformation and give the determiningtransformation, i.e. give the function A(7) such that A' = A + VA.

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3 Vector potential Consider a homogeneous magnetic field in z-direction, B = (0,0, B). a.) Determine 2 possible vector potentials A and A' for B such that A only has an ar-component and A' only has a y-component. b.) Show that these two vector fields A and A' are related by a gauge transformation and give the determining transformation, i.e. give the function A(7) such that A' = A + VA

3 Vector potential Consider a homogeneous magnetic field in z-direction, B = (0,0, B). a.) Determine 2 possible vector potentials A and A' for B such that A only has an ar-component and A' only has a y-component. b.) Show that these two vector fields A and A' are related by a gauge transformation and give the determining transformation, i.e. give the function A(7) such that A' = A + VA