Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137488179
Author: Douglas Giancoli
Publisher: PEARSON+
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A capacitor is made up of two long coaxial cylindrical conductorsseparated by a vaccum. If the capacitance per unit length is 97.0 pF/m,the ratio of the radii of the outer cylinder and the inner cylinder is mostnearly
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قبل 5 دقائق
Determine the equivalent capacitance (in mF units) of the combination shown when C= 49.7 mF.
2C
capacitor and take C = xe A/d and Q = CAV to investigate the charge as follows. Use typical values for a cylindrical axon of cell wall thickness d = 1.6 x 10-8 m, axon radius r = 2.0 x 10¹ μm, and
cell-wall dielectric constant x = 2.2.
Positive
charge
layer
Negative {
charge
layer
External fluid
Axon wall membrane
1
O No
O
Internal fluid
Axon radius = r
+
d
Q
(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.)
C
How many K+ ions are on the outside of the axon assuming an initial potential difference of 7.0 x 10-2 V?
K+ ions
Is this a large charge per unit area? Hint: Calculate the charge per unit area in terms of electronic charge e per angstrom squared (A2). An atom has a cross section of about 1 A²
(1 A = 10-10 m). (Compare to normal atomic spacing of one atom every few A.)
Yes
Chapter 24 Solutions
Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
Ch. 24.1 - Graphs for charge versus voltage are shown in Fig....Ch. 24.2 - Two circular plates of radius 5.0 cm are separated...Ch. 24.2 - What is the capacitance per unit length of a...Ch. 24.3 - Consider two identical capacitors C1 = C2 = 10 F....Ch. 24.5 - Return to the Chapter-Opening Question, page 628,...Ch. 24 - Suppose two nearby conductors carry the same...Ch. 24 - Suppose the separation of plates d in a...Ch. 24 - Suppose one of the plates of a parallel-plate...Ch. 24 - When a battery is connected to a capacitor, why do...Ch. 24 - Describe a sample method of measuring 0 using a...
Ch. 24 - Suppose three identical capacitors are connected...Ch. 24 - A large copper sheet of thickness is placed...Ch. 24 - The parallel plates of an isolated capacitor carry...Ch. 24 - If the voltage across a capacitor is doubled, the...Ch. 24 - An isolated charged capacitor has horizontal...Ch. 24 - Suppose a battery remains connected to the...Ch. 24 - How does the energy stored in a capacitor change...Ch. 24 - For dielectrics consisting of polar molecules, how...Ch. 24 - A dielectric is pulled out from between the plates...Ch. 24 - We have seen that the capacitance C depends on the...Ch. 24 - What value might we assign to the dielectric...Ch. 24 - Prob. 5MCQCh. 24 - Prob. 6MCQCh. 24 - Prob. 9MCQCh. 24 - Prob. 11MCQCh. 24 - Prob. 12MCQCh. 24 - Prob. 13MCQCh. 24 - Prob. 1PCh. 24 - Prob. 2PCh. 24 - Prob. 3PCh. 24 - Prob. 4PCh. 24 - Prob. 5PCh. 24 - Prob. 6PCh. 24 - Prob. 7PCh. 24 - Prob. 8PCh. 24 - Prob. 9PCh. 24 - Prob. 10PCh. 24 - Prob. 11PCh. 24 - Prob. 12PCh. 24 - Prob. 13PCh. 24 - Prob. 14PCh. 24 - Prob. 15PCh. 24 - Prob. 16PCh. 24 - Prob. 17PCh. 24 - Prob. 18PCh. 24 - Prob. 19PCh. 24 - Prob. 20PCh. 24 - Prob. 21PCh. 24 - Prob. 22PCh. 24 - Prob. 24PCh. 24 - Prob. 25PCh. 24 - Prob. 26PCh. 24 - Prob. 27PCh. 24 - Prob. 28PCh. 24 - Prob. 29PCh. 24 - Prob. 31PCh. 24 - Prob. 32PCh. 24 - Prob. 33PCh. 24 - Prob. 34PCh. 24 - Prob. 35PCh. 24 - Prob. 36PCh. 24 - Prob. 37PCh. 24 - Prob. 38PCh. 24 - Prob. 39PCh. 24 - Prob. 40PCh. 24 - Prob. 41PCh. 24 - Prob. 42PCh. 24 - Prob. 43PCh. 24 - Prob. 44PCh. 24 - Prob. 45PCh. 24 - Prob. 49PCh. 24 - Prob. 53PCh. 24 - Prob. 54PCh. 24 - Prob. 57PCh. 24 - Prob. 58PCh. 24 - (II) Two different dielectrics fill the space...Ch. 24 - (II) Repeat Problem 60 (Fig. 2431) but assume the...Ch. 24 - Prob. 63PCh. 24 - Prob. 76GPCh. 24 - Prob. 84GPCh. 24 - Prob. 87GP
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- According to UE=12C(V)2 (Eq. 27.3), a greater capacitance means more energy is stored by the capacitor, but according to UE = Q2/2C (Eq. 27.2), a greater capacitance means less energy is stored. How can both of these equations be correct?arrow_forward(i) Rank the following five capacitors from greatest to smallest capacitance, noting any cases of equality, (a) a 20-F capacitor with a 4-V potential difference between its plates (b) a 30-F capacitor with charges of magnitude 90 C on each plate (c) a capacitor with charges of magnitude 80 C on its plates, differing by 2 V in potential. (d) a 10-F capacitor storing energy 125 J (e) a capacitor storing energy 250 J with a 10-V potential difference (ii) Rank the same capacitors in part (i) from largest to smallest according to the potential difference between the plates, (iii) Rank the capacitors in part (i) in the order of the magnitudes of the charges on their plates, (iv) Rank the capacitors in part (i) in the order of the energy they store.arrow_forward1. (a) A parallel plate capacitor consists of two metal sheets of copper foil, each of area 0.5 m2, separated by a 5.0 mm thick sheet of plastic having a relative permittivity of 2.26. What is the capacitance? (b) Calculate the capacitance per meter of length of air filled coaxial line with an inner conductor of 3 mm diameter and an outer conductor of inside diameter of 6 mm. [2 Marks] 2. (a) Define Biot-Savart's law with the equation. (b) Define Lenz's Law. [2 Marks] 3. Find the current density for the given magnetic field intensity H = yz âx + 4xy ây + y âz (A/m) at a point P (1, -2, 3). [2 Marks] 4. The potential difference is of the form V = 10y2 + 20x3. (a) Find pv at P(10,12) (b) For given potential V = xy2 - yz. Check whether it satisfies laplace's equation at the point P(1, -2, 3) [2 Marks]arrow_forward
- A coaxial conductor has radii r = 0.05 cm and r, = 0.1 cm and a polystyrene dielectric for which ɛ, = 1.56. If P = (-) a ар in the dielectric, find (a) D and E as functions of m2 (b) Vab and xe. (c) If there are 3.5 × 1019 molecules per cubic meter in the dielectric, find p(o).arrow_forwardertices of a fig a express it in vects Q. 3: (a) Given Ci=2.0µF, C2=4.0µF, C3=6.0µF and C4-8.0µF (i) Find equivalent capacitance. (ii) How much energy is stored in capacitor C2? C1 H C3 12.0 V wiw ndarrow_forwardIn Fig. 19–86, let V = 10.0 V and C1=C2= C3 = 25.4 µF. How much energy is stored in the capacitor network (a) as shown, (b) if the capacitors were all in series, and (c) if the capacitors were all in parallel? C2 C3 FIGURE 19-86 Problem 88.arrow_forward
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