We calculate the electromagnetic moments and radii of the Delta(1232)
in the nonrelativistic quark model, including two-body exchange curren
ts. We show that two-body exchange currents lead to nonvanishing Delta
and N-->Delta transition quadrupole moments even if the wave function
shave no D-state admixture. The usual explanation based on the single
-quark transition model involves D-state admixtures but no exchange cu
rrents. We derive a parameter-free relation between the N-->Delta tran
sition quadrupole moment and the neutron charge radius, namely Q(N-->D
elta)=(1/root 2)r(n)(2). Furthermore, we calculate the M1 and E2 ampli
tudes for the process gamma+N-->Delta. We find the E2 amplitude receiv
es sizable contributions from exchange currents. These are more import
ant than the ones that result from D-state admixtures due to tensor fo
rces between quarks if a reasonable quark core radius of about 0.6 fm
is used. We obtain a ration of E2/M1=-3.5%.