Request error handling in dataarray construction

When I have a bad dimension in an xarray I get this error:

ValueError: different number of dimensions on data and dims: 2 vs 3

Expected Output

what I would like to see is

ValueError: different number of dimensions on data and dims: 2 vs 3 for variable Foo

The improvement I am asking for is here: https://github.com/pydata/xarray/blob/c8dac5866d2c54ee6b262b5060a701e0be1e40cb/xarray/core/dataarray.py#L368-L371

What I claim would be an improvement would be something like this:

            data = _check_data_shape(data, coords, dims)
            data = as_compatible_data(data)
            try:
                 coords, dims = _infer_coords_and_dims(data.shape, coords, dims)
            except Exception as e:
                 if name:
                     raise Exception("Error finding coordinates and dims for variable %s: %s"%(name, e)
                 else:
                    raise e
            variable = Variable(dims, data, attrs, encoding, fastpath=True)

I'm not an expert on python exception handling, so this is probably wrong.

Problem Description

The programmer cannot tell what variable causes the shape and dimension issue.

Output of xr.show_versions()

Start in xarray/core/dataarray.py at the linked dataarray construction code around lines 368-371. Reproduce construction with mismatched data dimensions and dims, then verify that the resulting ValueError identifies the variable name when one is provided. Done means the existing dimension error remains informative and includes the variable context.