Methods and systems are provided for diagnosing a source of degradation in an exhaust system of a vehicle. In one example, a method may include actuating an electric turbocharger to rotate in a first direction to evaluate integrity of an exhaust pipe of the exhaust system and rotation the turbocharger in a second direction to assess an exhaust manifold of the exhaust system, after an engine of the vehicle is turned off. Pressures generated in the exhaust system are compared to thresholds based on barometric pressure and/or turbocharger speed.