[25 pts] The patellar reflex causes the quadriceps muscle to contract in response to the patellar tendon being struck. You are interested in measuring the magnitude of the reflex response using EMG. Consider the propagation of an action potential along a muscle fiber bundle in the thigh. The action potential travels at a velocity v = 10 m/s. Model the current entering the muscle from the extracellular medium at the action potential onset as a current monopole -I traveling at v, and a second current exiting the muscle at repolarization as a current monopole +1 following at a distance d = 0.5 cm. An electrode on the arm surface at a distance D = 4 cm from the muscle measures the EMG signal relative to body ground. Assume a volume conductivity = 0.1 m. You measure an action potential magnitude of Vmax 100 V. Muscle fiber bundle Thigh d/2 +1 t=0 d/2 EMG Electrode -| D (a) [IC] [5 pts] What value of current I would you expect for the current monopoles to yield the given action potential magnitude? (b) [20 pts] Plot the EMG signal as a function of time as the action potential goes by.