There is some confusion about Jake brakes and exhaust brakes. Over the years it has become common usage to call the Jacobs Engine Brake a Jake brake, even though Jacobs makes both the engine brake (Jake brake) and an exhaust brake. So it is incorrect to call an exhaust brake a Jake brake even though it might be made by Jacobs
A Cummins "B" series engine such as in Dodges or the "C" series used in motor homes cannot have a Jake brake installed because the fuel is injected by an injection pump. This applied to any Diesel engine with an injection pump as opposed to cam operated injectors.
On a Diesel engine with cam operated injectors a true Jake brake works like this. During normal operation while pulling: In each cylinder the cycle is in five steps like a gasoline engine' 1. a downward intake stroke where a cam opens the intake valve drawing in air but with with no fuel; 2. the upward compression stroke where the air taken in is compressed and reaches a high temperature; 3. At or near the top of the compression stroke, a cam punches the injector which squirts in fuel; The fuel burns because of the high temperature, oxygen rich compressed air; 4; The downward power stoke where the burning fuel forces the piston down; 5. The upward exhaust stroke where a cam opens the exhaust valves for the whole upward stroke.
When the Jake engine brake is turned on, there is a linkage that is shifted which causes the injector cam to no longer operate the injector, rather it operates the exhaust valve.
The Jake brake cycles are like this: During the downward intake stroke the intake valve is open same as normal operation and air is drawn in. 2. The upward compression stroke compresses the air same as normal operation; 3. Here's where the difference is, instead of the injector cam punching the injector, it punches the exhaust valve, opening it briefly. The compressed air is discharged explosively. There is no power stroke because the compressed air had been released and the cam does not inject any fuel. So the piston goes on the the next intake stroke.
This explosive discharge of air is what caused the braaaap sound.
A Diesel engine is notoriously poor as a retarding device as opposed to a gasoline engine. When no fuel is being fed by the injectors, the energy used to highly compress the air is nearly all returned by this compressed air pushing back down on the piston during the no-fuel power stroke. When the throttle is shut off on a gasoline engine, there is a retarding force commonly called compression braking. It is more accurately called vacuum braking because each piston is struggling to pull air in through the closed throttle plate during the intake stroke. This is the where the retarding force comes from, not compression. This is why a lot of blue smoke comes from a worn gasoline engine when descending a grade with the throttle closed. The vacuum pulls in oil past worn valve seals and worn piston rings.
Hope this clears up nomenclature and why a "B" engine cannot have a Jake brake. Sorry for getting long winded.
Bob