(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.
(b) Calculate the capacitance for the following capacitors:
(i) Cylindrical capacitor has radii a = 1.5 cm and b = 2.0 cm and the space between the
plates is filled with an inhomogeneous dielectric with &, = (10 + p)/p, where p is in
centimetres.
(i) Parallel capacitors in Figure 3 with &1 = 2.5, 82 = 3.5, d= 20 mm, and S= 25 cm?.
Eri
d/2
Eri
Er2
Er2
d2
S/2
S/2
Figure 3
1) a) As shown in figure given below, a 20 V battery is connected across capacitors of
capacitances C=C=3 µF and C3=Cs=2C=2C=4 µF. Find (I) the equivalent capacitance Ceq
of the capacitors and the charge stored by Ceq
q: of capacitor 2, and V3 and q3 of capacitor 3
(II) Vi and qu of capacitor 1, V2 and
The capacitance of a cylindrical capacitor has a value of C = 220 pF, calculate the length of the capacitor if its radius Ra is 25 times greater than the radius Rb.
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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