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Problem 7: Consider two conducting surfaces imbedded in a medium with resistivity ρ (and dielectric constant...
2. Leakage Resistance of a Coax Cable The leakage resistivity of a coax cable's insulation is...
2. Leakage Resistance of a Coax Cable The leakage resistivity of a coax cable's insulation is measured as follows. A known potential difference V is applied across the two conductors in a length L of the cable; the leakage current I that flows between them (through the insulation) is measured; and the resistivity is calculated from the voltage and current. The inner conductor has radius a and the outer conductor has inner radius b. The insulator fills the space between...
Q9) A coaxial cable of length L-10m, has inner and outerradii of a-1 mm and b-3 mm. The region a p<b is a dielectric with Ep-2 and conductivity σ-0.01 S/m. Let V-10 V at ρ-a and V-0 V at ρ-b,...
Q9) A coaxial cable of length L-10m, has inner and outerradii of a-1 mm and b-3 mm. The region a p<b is a dielectric with Ep-2 and conductivity σ-0.01 S/m. Let V-10 V at ρ-a and V-0 V at ρ-b, find i. Eand Vin the region a <ρ<b. ii. The capacitance per unit length. iii. ρ,atpra. iv. The stored energy per unit length. v. The resistance between the inner and outer conductors. vi. The leakage current (the current between the...
Consider an ideal parallel plate capacitor, having vacuum between two plates of area A and separation...
Consider an ideal parallel plate capacitor, having vacuum between two plates of area A and separation d. The shape of the plates is arbitrary. By the following steps, prove that the capacitance is 0 d where ε0 is the permittivity. Assume that the charge on each plate is electric field E between the plates is uniform. , and that the Use Gauss' law to calculate the electric field E between the plates in terms of Q and A. (Use a...
consider two thin conducting spherical shells as shown in the figure 9 Consider two thin, conducting,...
consider two thin conducting spherical shells as shown in the
figure
9 Consider two thin, conducting, spherical shells as shown in the figure. The inner shell has a radius n=15.0 cm and a charge of 10.0 nC. The outer shell has a radius rz=30.0 cm and a charge of 15.0 nC. Find (a) the electric field E and (b) the electric potential V in regions A, B, and C, with V=0 at-o. 0 An air-filled capacitor consists of two parallel...
4.2 Dielectric materials used in the manufacture of capacitors are characterized bv conductivities that are small...
4.2 Dielectric materials used in the manufacture of capacitors are characterized bv conductivities that are small but not zero. Therefore, a charged capacitor loses its charge by slowly leaking across the dielectric. Consider a parallel-plate capacitor with plate spacing d and area A. The volume between the plates is filled with material having dielectric constant K but also with finite resistivity ρ a. What is the capacitance C, in terms of eo, K, A and d? b. What is the...
The resistor-capacitor network model we developed in Lecture (see figure below where it is shown only...
The resistor-capacitor network model we developed in Lecture
(see figure below where it is shown only for the myelinated case)
for the transmission of signals in nerve axons can actually be
applied to both unmyelinated and myelinated nerve cells to estimate
the propagation speed of a nerve impulse. In the unmyelinated case
the 6-7 nm thick plasma membrane (the lipid bilayer) acts both as a
(very thin) dielectric layer forming a capacitor between the inside
of the axon and the...
3) Two thin conducting wires are used to connect very large conducting plates to opposite poles...
3) Two thin conducting wires are used to connect very large conducting plates to opposite poles of a battery. Chemical reactions within the battery produce an emf E that "pushes" one electr after another onto the wire connected to the negative terminal of the battery, and "pulls" one electron after another from the wire connected to the positive terminal of the battery on electrons pulled in electrons battery pashed out conducting plate a) Given that positive charges repel each other...
In class, I argued that for two (conducting) charged plates with respective charge densities ±Q/A we...
In class, I argued that for two (conducting) charged plates with respective charge densities ±Q/A we can add their fields to find the overall field strength due to two parallel charged plates. While that is the correct result I want you to show that this indeed the case by considering the following scenario with conducting sheets of finite thickness: (a) Take one negatively charged plate and add an uncharged conducting slab of equal dimension across from it such that they...
Q2: Time (30 minutes) A. Your friend Shawn draw the two equipotential surfaces a & b...
Q2: Time (30 minutes) A. Your friend Shawn draw the two equipotential surfaces a & b (shown below) as part of his class project in PHYA21. IDV -10V Comment on these two diagrams if they are physically acceptable? When appropriate, try to help him by drawing the electric field on graphs. B. To demonstrate the effect of a dielectric on capacitors you quickly filled the space between the capacitor plates by an insulator while it is still connected to the...
2.(A) A capacitor consisting of two parallel plates with direct between them is connected to a battery. As a result...
2.(A) A capacitor consisting of two parallel plates with direct between them is connected to a battery. As a result, the plates become charged. The battery is then disconnected with the lates insulated so no charge can escape, and the dielectric is then removed. How would each of the following change? The charge on the plates. Increase / Decrease / Remains the same The potential drop across the plates. Increase / Decrease / Remains the same The capacitance of the...
2. Leakage Resistance of a Coax Cable The leakage resistivity of a coax cable's insulation is measured as follows. A known potential difference V is applied across the two conductors in a length L of the cable; the leakage current I that flows between them (through the insulation) is measured; and the resistivity is calculated from the voltage and current. The inner conductor has radius a and the outer conductor has inner radius b. The insulator fills the space between...
Q9) A coaxial cable of length L-10m, has inner and outerradii of a-1 mm and b-3 mm. The region a p<b is a dielectric with Ep-2 and conductivity σ-0.01 S/m. Let V-10 V at ρ-a and V-0 V at ρ-b, find i. Eand Vin the region a <ρ<b. ii. The capacitance per unit length. iii. ρ,atpra. iv. The stored energy per unit length. v. The resistance between the inner and outer conductors. vi. The leakage current (the current between the...
Consider an ideal parallel plate capacitor, having vacuum between two plates of area A and separation d. The shape of the plates is arbitrary. By the following steps, prove that the capacitance is 0 d where ε0 is the permittivity. Assume that the charge on each plate is electric field E between the plates is uniform. , and that the Use Gauss' law to calculate the electric field E between the plates in terms of Q and A. (Use a...
consider two thin conducting spherical shells as shown in the
figure
9 Consider two thin, conducting, spherical shells as shown in the figure. The inner shell has a radius n=15.0 cm and a charge of 10.0 nC. The outer shell has a radius rz=30.0 cm and a charge of 15.0 nC. Find (a) the electric field E and (b) the electric potential V in regions A, B, and C, with V=0 at-o. 0 An air-filled capacitor consists of two parallel...
4.2 Dielectric materials used in the manufacture of capacitors are characterized bv conductivities that are small but not zero. Therefore, a charged capacitor loses its charge by slowly leaking across the dielectric. Consider a parallel-plate capacitor with plate spacing d and area A. The volume between the plates is filled with material having dielectric constant K but also with finite resistivity ρ a. What is the capacitance C, in terms of eo, K, A and d? b. What is the...
The resistor-capacitor network model we developed in Lecture
(see figure below where it is shown only for the myelinated case)
for the transmission of signals in nerve axons can actually be
applied to both unmyelinated and myelinated nerve cells to estimate
the propagation speed of a nerve impulse. In the unmyelinated case
the 6-7 nm thick plasma membrane (the lipid bilayer) acts both as a
(very thin) dielectric layer forming a capacitor between the inside
of the axon and the...
3) Two thin conducting wires are used to connect very large conducting plates to opposite poles of a battery. Chemical reactions within the battery produce an emf E that "pushes" one electr after another onto the wire connected to the negative terminal of the battery, and "pulls" one electron after another from the wire connected to the positive terminal of the battery on electrons pulled in electrons battery pashed out conducting plate a) Given that positive charges repel each other...
Q2: Time (30 minutes) A. Your friend Shawn draw the two equipotential surfaces a & b (shown below) as part of his class project in PHYA21. IDV -10V Comment on these two diagrams if they are physically acceptable? When appropriate, try to help him by drawing the electric field on graphs. B. To demonstrate the effect of a dielectric on capacitors you quickly filled the space between the capacitor plates by an insulator while it is still connected to the...
2.(A) A capacitor consisting of two parallel plates with direct between them is connected to a battery. As a result, the plates become charged. The battery is then disconnected with the lates insulated so no charge can escape, and the dielectric is then removed. How would each of the following change? The charge on the plates. Increase / Decrease / Remains the same The potential drop across the plates. Increase / Decrease / Remains the same The capacitance of the...
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