When a current loop is placed in a uniform magnetic field
$\mathrm{i}) {\overline{\mathrm{F}}}_{\mathrm{R}}=0 \mathrm{and} \overline{\mathrm{\tau }}=0$

$\mathrm{ii}) {\overline{\mathrm{F}}}_{\mathrm{R}}=0 \mathrm{but} \overline{\mathrm{\tau }}\ne 0$

$\mathrm{iii}) {\overline{\mathrm{F}}}_{\mathrm{R}}\ne 0 \mathrm{but} \overline{\mathrm{\tau }}=0$

$\mathrm{iv}) {\overline{\mathrm{F}}}_{\mathrm{R}}\ne 0 \mathrm{and} \overline{\mathrm{\tau }}\ne 0$

Net force on a current carrying loop in a uniform magnetic field is zero.

Torque on the loop may be zero or non-zero depending on the orientation of the loop with the magnetic field. When plane of the loop is perpendicular to the magnetic field, the torque will be zero, otherwise it will not be zero.