diff --git a/desc/objectives/_coils.py b/desc/objectives/_coils.py
index 778fddcd18..d75572c9b5 100644
--- a/desc/objectives/_coils.py
+++ b/desc/objectives/_coils.py
@@ -16,7 +16,7 @@
 from desc.compute.utils import safenorm
 from desc.grid import LinearGrid, _Grid
 from desc.integrals import compute_B_plasma
-from desc.utils import Timer, errorif, warnif
+from desc.utils import Timer, broadcast_tree, errorif, warnif
 
 from .normalization import compute_scaling_factors
 from .objective_funs import _Objective
@@ -1606,13 +1606,15 @@ def build(self, use_jit=True, verbose=1):
         self._dim_f = 1
         self._data_keys = ["G"]
 
+        all_params = tree_map(lambda dim: np.arange(dim), coil.dimensions)
+        current_params = tree_map(lambda idx: {"current": idx}, True)
+        self._indices = tree_leaves(broadcast_tree(current_params, all_params))
+        self._num_coils = coil.num_coils
+
         profiles = get_profiles(self._data_keys, obj=eq, grid=grid)
         transforms = get_transforms(self._data_keys, obj=eq, grid=grid)
 
         self._constants = {
-            "eq": eq,
-            "coil": coil,
-            "grid": grid,
             "profiles": profiles,
             "transforms": transforms,
             "quad_weights": 1.0,
@@ -1653,9 +1655,12 @@ def compute(self, eq_params, coil_params, constants=None):
             profiles=constants["profiles"],
         )
         eq_linking_current = 2 * jnp.pi * data["G"][0] / mu_0
-        coil_linking_current = jnp.sum(
+        coil_linking_current = self._num_coils * jnp.mean(
             jnp.concatenate(
-                [jnp.atleast_1d(param["current"]) for param in tree_leaves(coil_params)]
+                [
+                    jnp.atleast_1d(param[idx])
+                    for param, idx in zip(tree_leaves(coil_params), self._indices)
+                ]
             )
         )
         return eq_linking_current - coil_linking_current