Final answer:
To determine inflammation of the gallbladder associated with Courvoisier's law, physical examination and imaging studies such as ultrasound or CT scan are utilized to diagnose the condition and differentiate it from gallstones, with malignancy being a possible cause in the absence of pain.
Step-by-step explanation:
To determine inflammation of the gallbladder, which may refer to Courvoisier's law (a clinical sign), a physical examination and imaging studies such as an abdominal ultrasound or a computed tomography (CT) scan are commonly performed. Courvoisier's law suggests that if a patient has painless jaundice and palpably enlarged gallbladder, then the cause is unlikely to be gallstones, and more likely to be caused by a malignancy in the head of the pancreas or the biliary tree. Other symptoms may include abdominal pain, nausea, vomiting, and changes in the color of urine and stool. It is important to seek a professional medical assessment to diagnose and treat the underlying condition.