A biomedical device uses a shunt resistor to measure blood-pump current non-invasively. The device’s power unit supplies a steady 2.4A current that reaches a junction J and splits into two parallel paths before returning to the supply. Path A contains the implanted pump (modeled as a 3.0Ω resistor). Path B contains the precision shunt resistor Rs in series with a monitoring circuit whose internal resistance is negligible. A medical technician wants the monitoring circuit to read exactly 0.40A through the shunt.
(a) Calculate the current that must flow through the pump when the monitor reads the desired 0.40A.
(b) Determine the numerical value of the shunt resistance Rs that will achieve this current distribution.
(c) Compute the electrical power delivered to the pump under these operating conditions.