Question

A: How does making the axon wider (larger diameter) affect the speed? Let's say the diameter of the axon is multiplied by a factor off [Fig 9). The conductivity of the axoplasm does not change. 1. By what factor is Raxon multiplied when the diameter is multiplied by ? Fec 2. By what factor is Rmem multiplied? (Fig. 9) A wider axon 3. By what factor is the length constant 2. multiplied? 4. Show that increasing the axon diameter has no effect on the time constant 1 = R m om where nem is the capacitance of a segment of membrane. Hintl: You can model the membrane as a parallel plate capacitor in which the plates have been rolled into a cylinder. Think about why this is a reasonable model. Hint2: Also, what is the capacitance of a parallel plate capacitor?

I got until here I cant do 4

Answer 1

Date Time constant t = Pemem mem Where smem is capacitance of membras As, giren Hint in question, membrane can be formed as a parallel plate Capacitor, so mom - EoA 0 mem Just And - ein Romem = AC put the values in equation t =Rmemi mem E. so AC So, if there will be any change in diameter, so as radius there will be no effect on the time constant because hea will increase both of the risides upside and down in the equation and that will concer out to each other and aute Keek. time constant to constant

Date Just think if diameter is doubled d=22 so Radius will be doubled I= 22, so time constant t = t Enr'? Tel? C d t = L 4Eng² पर t = I ACO AC t = R. Comen at Proved Dont be confuse with 'd' here d is. not radius. It is distance between 2 paralles plates in pralle plate capact