解:$(1)R_{2}=\frac {U_{2}}{I}=\frac {3\ \mathrm {V}}{0.5\ \mathrm {A}}=6 \ \mathrm {Ω}$
$(2)U_{1}=IR_{1}=0.5\ \mathrm {A}×10 \ \mathrm {Ω}=5\ \mathrm {V}$
$U=U_{1}+U_{2}=5\ \mathrm {V}+3\ \mathrm {V}=8\ \mathrm {V}$
$(3)W=U_{1}It=5\ \mathrm {V}×0.5\ \mathrm {A}×10\ \mathrm {s}=25\ \mathrm {J}$