Explanation Given Info : The thickness of axon wall membrane is d = 1.0 × 10 − 8 m , dielectric constant of cell wall is k = 3.0 and axon radius is r = 1.0 × 10 1 μm , From the problem 18.44, the capacitance of the parallel plate capacitor is 1.67 × 10 − 8 F and the potential difference of the excited state is 3.0 × 10 − 2 V , From the problem 18.43 and 18.44 the capacitance of the parallel plate capacitor is 1.67 × 10 − 8 F and starting potential is 7.0 × 10 − 2 V , The input energy required to return to the resting state is 4 .1 × 10 − 11 J and input energy required to charge the capacitor to the excited state is 7.5 × 10 − 12 J . Explanation : The following figure shows time duration of an action potential. Formula to calculate the area of the surface of axon membrane is, A = 2 π r L A is the area of the axon membrane surface, R is the axon radius, L is the length of the axon membrane, Substitute 1.0 × 10 1 μm for r and 0.10 m for L . A = 2 ( 3.14 ) ( 1.0 × 10 1 μm ) ( 10 − 6 m 1 μm ) ( 0.10 m ) = 0.628 × 10 − 5 m 2 Formula to calculate the capacitance of the parallel plate capacitor for model axon, C = k ε 0 A d C is the capacitance of the parallel plate capacitor, k is the dielectric constant, ε 0 is the permittivity of free space, A is the area of the axon membrane surface, d is the thickness of axon wall membrane, Substitute 0.628 × 10 − 5 m 2 for A , 8.85 × 10 − 12 C 2 / N ⋅ m 2 for ε 0 , 3.0 for k and 1.0 × 10 − 8 m for d to find C . C = ( 3.0 ) ( 8.85 × 10 − 12 C 2 / N ⋅ m 2 ) ( 0.628 × 10 − 5 m 2 ) ( 1.0 × 10 − 8 m ) = 1.67 × 10 − 8 F Thus, the capacitance of the parallel plate capacitor is 1.67 × 10 − 8 F . Formula to calculate energy input required to charge the capacitor to the potential difference of the excited state is, W 1 = 1 2 C Δ V f 2 W 1 is the energy input required to charge the capacitor, Δ V f is the potential difference of the excited state, Substitute 1.67 × 10 − 8 F for C and 3.0 × 10 − 2 V for Δ V f

11th Edition

ISBN: 9781305952300

Author: Raymond A. Serway, Chris Vuille

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 18, Problem 45P

To determine

The power supplied by the axon.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 18, Problem 44P

Chapter 18, Problem 46AP

Students have asked these similar questions

1. An arrangement of three charges is shown below where q₁ = 1.6 × 10-19 C, q2 = -1.6×10-19 C, and q3 3.2 x 10-19 C. 2 cm Y 93 92 91 X 3 cm (a) Calculate the magnitude and direction of the net force on q₁. (b) Sketch the direction of the forces on qi

(Figure 1)In each case let w be the weight of the suspended crate full of priceless art objects. The strut is uniform and also has weight w Find the direction of the force exerted on the strut by the pivot in the arrangement (a). Express your answer in degrees. Find the tension Tb in the cable in the arrangement (b). Express your answer in terms of w. Find the magnitude of the force exerted on the strut by the pivot in the arrangement (b). Express your answer in terms of w.

(Figure 1)In each case let ww be the weight of the suspended crate full of priceless art objects. The strut is uniform and also has weight w. Find the direction of the force exerted on the strut by the pivot in the arrangement (b). Express your answer in degrees.

Chapter 18 Solutions

College Physics

Ch. 18.1 - True or False: While discharging, the terminal...Ch. 18.1 - Why does a battery get warm while in use?Ch. 18.2 - In Figure 18.5, the current is measured with the...Ch. 18.2 - The circuit in Figure 18.5 consists of two...Ch. 18.3 - In Figure 18.8, the current is measured with the...Ch. 18.3 - When the switch is open in Figure 18.8, power Po...Ch. 18.3 - Suppose you have three identical lightbulbs, some...Ch. 18.3 - If the lightbulbs in Quick Quiz 18.7 are connected...Ch. 18.5 - The switch is closed in Figure 18.20. After a long...Ch. 18 - Choose the words that make each statement correct....

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The power supplied by the axon.

Solution Summary: The author explains that the power supplied by the axon is 11nW.

Videos

The power supplied by the axon.

Want to see the full answer?

Chapter 18 Solutions