A neuron in your brain sends a charge down an 80 cm long axon (a long skinny thing) toward your hand at a speed of 10 m per second. At the time when the charge reaches your elbow, the voltage in the axon is −70 mV except on the 6cm long piece between 47 and 53 cm from your brain. On this piece, the voltage is v(x) =−70.0 + 10.0[9.0 − (x − 50.0)²] where v(x) is the voltage at a distance of x centimeters from the brain. a. How long will it take the information to get to your hand? How long did it take to reach your elbow? b. Sketch a graph of the voltage along the whole axon. c. Find the average voltage of the 6 cm piece. d. Find the average voltage of the whole axon.
A neuron in your brain sends a charge down an 80 cm long axon (a long skinny thing) toward your hand at a speed of 10 m per second. At the time when the charge reaches your elbow, the voltage in the axon is −70 mV except on the 6cm long piece between 47 and 53 cm from your brain. On this piece, the voltage is v(x) =−70.0 + 10.0[9.0 − (x − 50.0)²] where v(x) is the voltage at a distance of x centimeters from the brain.
a. How long will it take the information to get to your hand? How long did it take to reach your elbow?
b. Sketch a graph of the voltage along the whole axon.
c. Find the average voltage of the 6 cm piece.
d. Find the average voltage of the whole axon.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images