The velocity of spike propagation is proportional to the following combination of factors: 1 a C V RR, m m Where a is the radius of the axon, R, and R; are specific resistances of the membrane and the internal buffer, respectively. If we double the radius and simultaneously increase the concentration of salt inside the axon twice (i.e. R; decreases two times), by how many fold will the velocity change?
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- P For a given load resistance R, = 4.7 ohm, the power transfer efficiencies 7 P load of total a de voltage source and a de current source with internal resistances R, and R,, respectively, are equal. The product R,R, in units of ohm (rounded off to one decimal place) isSeveral resistors in a circuit have a theoretical combined resistance of 107 ohms. When the resistance is found through measurements of voltage and current in the circuit, the value is 99 ohms. What is the percent error? 0.075% O 8.08% O 0.081% 7.18 %Assume a length of axon membrane of about 0.10 m is excited by an action potential (length excited = nerve speed x pulse duration 50.0 m/s x 0.0020 s = 0.10 m). In the %D resting state, the outer surface of the axon wall is charged positively with Kt ions and the inner wall has an equal and opposite charge of negative organic ions, as shown in the figure below. Model the axon as a parallel-plate capacitor and take C = KƐ A/d and Q = CAV to investigate the charge as follows. Use typical values for a cylindrical axon of cell -8 wall thickness d = 1.5 x 10 m, axon radius r = 2.0 x 10- um, and cell-wall dielectric constant K = 2.9. External fluid + Positive charge layer Axon wall membrane d Negative charge layer Internal fluid Axon radius = r (a) Calculate the positive charge on the outside of a 0.10-m piece of axon when it is not conducting an electric pulse. (Assume an initial potential difference of 7.0 x 10-2 v.) 1.035E-9 Your response differs from the correct answer by more than 10%.…
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- Please AsapThe voltage V (volts), current I (amperes), andresistance R (ohms) of an electric circuitare related by the equation V = IR. Suppose that V is increasing atthe rate of 1 volt/sec while I is decreasing at the rate of 1/3 amp/sec. Let t denote time in seconds. What is the value of dI/dt?Consider a myelinated axon having Em of -80 mV. Threshold to elicit an action potential is -40 mV. An action potential (100 mV amplitude, measured from Em to peak) arrives at the first node of Ranvier. Local current flowing ahead of the spike reaches the second node, the distance being x = 0.25A. Calculate the magnitude of the depolarization caused by local current reaching the second node using the equation: Vx = Voe X/A. A. 45 mV B. 78 mV C. 65 mV D. 100 mV
- The potential difference across a resting neuron in the human body is about 70.0 mV, and the current in it is approximately 200. micro Amps. How much power does the neuron release?For each of the three simple circuit boards you will need to calculate the total resistance Reg for the entire circuit board by using the measured resistances of each of the resistors, and the equations given to you in the theory section. Then using the applied voltage of 2V, as the theoretical voltage Vth for the entire circuit board you can calculate the theoretical current, ith, for the entire circuit board. Table 1(Resistors in series) R(Q) 310 10 100 200 Req 10Ω 1000 200Ω iex(A) 0.0074 0.0064 0.068 0.0064 0.650 0.0064 1.283 Using the equations for resistors in series calculate the theoretical voltages, and currents for each of the resistors, and the entire circuit. Use the measured values of the resistance in your calculations. Then calculate the % errors. Show work. Vex(V) 2.006 ith(A) Vth(V) % Error i % Error VPlease Asap