Chapter 8: Problem 12
Water is a good solvent because it has a high dielectric constant. Explain.
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Chapter 8: Problem 12
Water is a good solvent because it has a high dielectric constant. Explain.
These are the key concepts you need to understand to accurately answer the question.
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Some cell walls in the human body have a layer of negative charge on the inside surface. Suppose that the surface charge densities are \(\pm 0.50 \times 10^{-3} \mathrm{C} / \mathrm{m}^{2},\) the cell wall is \(5.0 \times 10^{-9} \mathrm{m}\) thick, and the cell wall material has a dielectric constant of \(\kappa=5.4 .\) (a) Find the magnitude of the electric field in the wall between two charge layers. (b) Find the potential difference between the inside and the outside of the cell. Which is at higher potential? (c) A typical cell in the human body has volume \(10^{-16} \mathrm{m}^{3}\) Estimate the total electrical field energy stored in the wall of a cell of this size when assuming that the cell is spherical. (Hint: Calculate the volume of the cell wall.)
An empty parallel-plate capacitor has a capacitance of 20 \(\mu\) F. How much charge must leak off its plates before the voltage across them is reduced by \(100 \mathrm{V}\) ?
Three capacitors, with capacitances of \(C_{1}=2.0 \mu \mathrm{F}\) \(C_{2}=3.0 \mu \mathrm{F}, \quad\) and \(\quad C_{3}=6.0 \mu \mathrm{F}, \quad\) respectively, \(\quad\) are connected in parallel. A \(500-\mathrm{V}\) potential difference is applied across the combination. Determine the voltage across each capacitor and the charge on each capacitor.
The plates of an empty parallel-plate capacitor of capacitance \(5.0 \mathrm{pF}\) are \(2.0 \mathrm{mm}\) apart. What is the area of each plate?
A 4.00-pF is connected in series with an 8.00-pF capacitor and a 400-V potential difference is applied across the pair. (a) What is the charge on each capacitor? (b) What is the voltage across each capacitor?
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