Use a zester or a fine grater to grate the turmeric and ginger. Keep this aside.
Add water to a pot and allow it to heat up. Just as it reaches a slow simmer, add grated turmeric and grated ginger and simmer for 3-5 minutes. Turn off the heat.
Add honey to sweeten. If you wish, you can use sugar or jaggery instead. Also add freshly squeezed lemon juice and stir it in. Strain and pour into a chai glass or a mug, and consume while hot.
Notes
Do not steep the turmeric for too long as this will make it bitter tasting.
Use fresh turmeric. The majority of the taste comes from this!