(III) Small distances are commonly measured capacitively. Consider an air-filled parallel-plate capacitor with Fixed plate area A = 25 mm 2 and a variable plate-separation distance x. Assume this capacitor is attached to a capacitance-measuring instrument which can measure capacitance C in the range 1.0 pF to 1000.0 pF with an accuracy of Δ C = 0.1 pF. ( a ) If C is measured while x is varied, over what range ( x min ≤ x ≤ x max ) can the plate-separation distance (in μ m) be determined by this setup? ( b ) Define Δ x to be the accuracy (magnitude) to which x can be determined, and determine a formula for Δ x . ( c ) Determine the percent accuracy to which x min and x max can be measured.
(III) Small distances are commonly measured capacitively. Consider an air-filled parallel-plate capacitor with Fixed plate area A = 25 mm 2 and a variable plate-separation distance x. Assume this capacitor is attached to a capacitance-measuring instrument which can measure capacitance C in the range 1.0 pF to 1000.0 pF with an accuracy of Δ C = 0.1 pF. ( a ) If C is measured while x is varied, over what range ( x min ≤ x ≤ x max ) can the plate-separation distance (in μ m) be determined by this setup? ( b ) Define Δ x to be the accuracy (magnitude) to which x can be determined, and determine a formula for Δ x . ( c ) Determine the percent accuracy to which x min and x max can be measured.
(III) Small distances are commonly measured capacitively. Consider an air-filled parallel-plate capacitor with Fixed plate area A = 25 mm2 and a variable plate-separation distance x. Assume this capacitor is attached to a capacitance-measuring instrument which can measure capacitance C in the range 1.0 pF to 1000.0 pF with an accuracy of ΔC = 0.1 pF. (a) If C is measured while x is varied, over what range (xmin ≤ x ≤ xmax) can the plate-separation distance (in μm) be determined by this setup? (b) Define Δx to be the accuracy (magnitude) to which x can be determined, and determine a formula for Δx. (c) Determine the percent accuracy to which xmin and xmax can be measured.
-If a 10-uF capacitor is connected to a voltage source with v(t)= 50 sin 2000t V determine thecurrent through the capacitor
The switch in Fig. 8.73 is moved from A to B at t = 0 after being at A for along time. This places the two capacitors in series, thus allowing equal andopposite de voltages to be trapped on the capacitors. (a) Determine vi(0),v2(0-), and vr(0-). (b) Find vi(0+), v2(0+), and vr(0+). (c) Determine thetime constant of vr(t). (
We have seen that the capacitance C depends on the sizeand position of the two conductors, as well as on thedielectric constant K. What then did we mean when wesaid that C is a constant in Eq. 17–7?
University Physics with Modern Physics (14th Edition)
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.
How To Solve Any Circuit Problem With Capacitors In Series and Parallel Combinations - Physics; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=a-gPuw6JsxQ;License: Standard YouTube License, CC-BY