  We study Josephson current between s-wave/spin-triplet superconductor
junctions by taking into account details of band structures in
Sr$_{2}$RuO$_{4}$ such as three conduction bands, spin-orbit interaction in the
bulk and that at the interface. We assume five superconducting order parameters
in Sr$_{2}$RuO$_{4}$: a chiral p-wave symmetry and four helical p-wave
symmetries. We calculate current-phase relationship $I(\varphi)$ in these
junctions, where $\varphi$ is the macroscopic phase difference between two
superconductors. The results for a chiral p-wave pairing symmetry show that
$\cos(\varphi)$ term appears in the current-phase relation due to time-reversal
symmetry (TRS) breaking. On the other hand, $\cos(\varphi)$ term is absent in
the helical pairing states which preserve the TRS. We also study the dependence
of maximum Josephson current $I_c$ on an external magnetic flux $\Phi$ in a
corner junction. The calculated results of $I_c(\Phi)$ show a relation
$I_{c}(\Phi) \neq I_{c}(-\Phi)$ in a chiral state and
$I_{c}(\Phi)=I_{c}(-\Phi)$ in a helical state. We calculate $I_c(\Phi)$ in a
corner and a symmetric SQUIDs geometry. In a symmetric SQUID geometry, the
relation $I_{c}(\Phi)=I_{c}(-\Phi)$ is satisfied for all the pairing states and
it is impossible to distinguish chiral state from helical one. On the other
hand, results for a corner SQUID always show $I_{c}(\Phi) \neq I_{c}(-\Phi)$
and $I_{c}(\Phi)=I_{c}(-\Phi)$ for a chiral and a helical states, respectively.
Experimental tests of these relations in a corner junctions and SQUIDs may
serve as a tool for unambiguous determination of the pairing symmetry in
Sr$_{2}$RuO$_{4}$.
