(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.
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
(b) A student has three capacitors. Two of the capacitors have a capacitance of 4.0 µF and one
has a capacitance of 8.0 µF.
Draw labelled circuit diagrams, one in each case, to show how the three capacitors may be
connected to give a total capacitance of:
(i) 1.6uF
(ii) 10µF.
A capacitor of unknown capacitance is connected across a battery of V volts. The charge stored in it is 360 μC. When potential across the capacitor is reduced by 120 V, the charge stored in it becomes 120 μC.
Calculate:
(i) The potential V and the unknown capacitance C.
(ii) What will be the charge stored in the
capacitor, if the voltage applied had increased by 120 V?
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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