Nerve cells are long, thin cylinders along which electrical disturbances (nerve impulses) travel. The cell membrane of a typical nerve cell consists of an inner and an outer wall separated by a distance of 0.10 μm The electric field within the cell membrane is 7.0 × 105 N/C. Approximating the cell membrane as a parallel-plate capacitor, determine the magnitude of the charge density on the inner and outer cell walls.
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- A parallel plate capacitor has capacitance C0 = 15.0 pF when there is air between the plates. The separation between the plates is 1.00 mm. A dielectic with K=3.50 is inserted between the plates of the capacitor, completely feeling the volume between the plates. The capacitor is connected with a battery. Find the magnitude of charge on each plate if the electric field between the plates is 3.00 x 104 V/m.Batteries and capacitors can be used to store electrical energy. Batteries do this in the form of chemical potential energy whereas capacitors do this with an electric field. Batteries tend to be more stable but capacitors tend to have faster charge and recharge times. A simple capacitor can be constructed from two conductive plates. Two conductive plates with an area of 10.0cm x 10.0 cm are held facing one another at a separation of 1.50 mm and 12.0 V is applied between them. a) Find the capacitance of this configuration b) Find the charge on the plates. c) How much energy is stored in the capacitor? d) How much energy can the capacitor store if a dielectric with K= 4.5 is inserted between the plates rather than air?Can you please help me with this question? I appreciate your help!
- Two thin plates (0.50 m x 0.50 m x 'very thin') of a parallel capacitor are located parallel to the xzplane. One of the large plates crosses the y-axis at y = 0 cm, and the other crosses at y = -1 cm. The charge on the positive plate is +30 nC, and on the negative plate, -30 nC. a) What is the voltage from the positive plate to the negative plate? b) What is the electric potential difference from the negative plate to a point in the middle of the space between the plates? c) If the electric potential at the negative plate is 100 V, what is the electric potential at the positive plate? ( d-f) The negative plate is now shifted 0.5 cm away from the positive plate. d) What is the voltage from the positive to the negative plate? ( e-f) If an electron is released from rest from very close to the negative plate, and it flies to the positive plate, e) what is the electron's change in potential energy? f) what is the electron's speed when it hits the positive plate?Two parallel plates have equal and opposite charges. When the space between the plates is evacuated, the electric field is E= 3.30×105 V/m. When the space is filled with dielectric, the electric field is E= 2.50×105 V/m. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Energy density, both before and after the. What is the charge density on each surface of the dielectric? Express your answer in coulombs per meter squared. να ΑΣΦ ? |X| X•10" |oi| = C/m²Regarding the Earth and a cloud layer 650 m above the Earth as the "plates" of a capacitor, calculate the capacitance if the cloud layer has an area of 1.53 km2. If an electric field of 2.0 × 106 N/C makes the air breakdown and conduct electricity (lightning), what is the maximum charge the cloud can hold? εo = 8.85 x 10−12 F/m
- A 31 m length of coaxial cable has a solid cylindrical wire inner conductor with a di- ameter of 2.168 mm and carries a charge of 10.02 µC. The surrounding conductor is a cylindrical shell and has an inner diameter of 11.534 mm and a charge of-10.02 C. What is the capacitance of this cable? As- sume the region between the conductors is air. The value of the Coulomb comstant is 8.98755 x 10° N m²/C. Answer in units of nF.A l-megabit computer memory chip contains many 60.0 X 10-15-F capacitors. Each capacitor has a plate area of 21.0 X 10-12 m. Determine the plate separation of such a capacitor. (Assume a parallel-plate configuration.) The diameter of an atom is on the order of 10-10 m 1 Å. Express the plate separa- tion in angstroms.A typical capacitor in an MP3 player has C = 0.10 µF. If a charge ±12.5 µC is placed on the plates, what is the voltage across the capacitor? V
- A Geiger-Mueller tube is a radiation detector that consists of a closed, hollow, metal cylinder (the cathode) of inner radius ra and a coaxial cylindrical wire (the anode) of radius (see figure below) with a gas filling the space between the electrodes. Assume that the internal diameter of a Geiger-Mueller tube is 1.95 cm and that the wire along the axis has a diameter of 0.190 mm. The dielectric strength of the gas between the central wire and the cylinder is 1.25 x 106 V/m. Use the equation ain 2πrle= to calculate the maximum potential difference that can be applied between the wire and the cylinder before breakdown occurs in the gas. €0 Anode Cathode 148 X Your response differs from the correct answer by more than 10%. Double check your calculations. V Need Help? Read ItA parallel-plate capacitor has 3.5 cm x 3.5 cm electrodes with surface charge densities +1.0 x 10 C/m². A proton traveling parallel to the electrodes at 1.2x105 m/s enters the center of the gap between them. 73 3 K E $ 4 R DE C I BAB F 96 5 T G I 6 B Part A Y By what distance has the proton been deflected sideways when it reaches the far edge of the capacitor? Assume the field is uniform inside the capacitor and zero outside the capacitor. Express your answer with the appropriate units. Ay- Value Submit Provide Feedback MacBook Air H & 7 N HÅ Request Answer U J * 8 M DIE 1 C Units MOSISO ( 9 K DD FO O 1 deleteRegarding the Earth and a cloud layer 800 m above the Earth as the "plates" of a capacitor, calculate the capacitance. Assume the cloud layer has an area of 1 km2 and that the air between the cloud and the ground is pure and dry. nF Assume charge builds up on the cloud and on the ground until a uniform electric field of 2.0 106 N/C throughout the space between them makes the air break down and conduct electricity as a lightning bolt. What is the maximum charge the cloud can hold? C