  We derive the exchange currents of pseudoscalar, vector, and scalar mesons
from Feynman diagrams, and use them to calculate the magnetic form factors of
nucleon and $\Delta(1232)$. The magnetic moments and electromagnetic radii are
obtained by using those form factors and the parameters determined from the
masses of nucleon and $\Delta(1232)$. We find the magnetic moments and
electromagnetic radii of nucleon and $\Delta(1232)$ can be produced very well
in the extended Goldstone-boson-exchange model (GBE) in which all of
pseudoscalar, vector and scalar meson nonet are included. The magnetic moments
of $\Delta(1232)$ are closer to experiment values and results from lattice
calculation than the results obtained by the model without other mesons except
for pion and sigma.
