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An electrical capacitor with an unknown capacitance is connected to the circuit shown. The switch is first connected R-2000 2 ww- to B and the capacitor is charged. Then, the switch is connected to A and the capacitor discharges through the resistor. As the capacitor is discharging, the voltage across the capacitor is measured for 10 s in intervals of 1s. The recorded measurements are given in the table below. Vo 1 | 2 Vm | 94 3 |5 4 9 10 7.31 5.15 | 3.55 | 2.81 2.04 1.26 0.97 0.74 0.58 You recall from PHYS2102 that the voltage of the capacitor, during a discharge, as function of time is given by V = V, e-t/(RC) This exponential equation can be written as a linear equation of in(V) and t in the form: In(V) = t + In(V.) RC Use Matlab to do the following "In all graphs add title,Iegend and axis labels 1. Estimate the time at which the voltage V= 6.5 v. 2. Estimate, using spline interpolation, the voltage V1 corresponding to 30 times varying from 1 to 10s. 3. In the same figure (34 subplot), plot the experimental voltage data as blue diamond and the interpolated voltage as solid magenta line. 4. Plot in the 4 subplot in(V) vs t as red squares. 5. Use linear fitting of In(V) vs t, and plot in the same 4* subplot, the fitting curve as black solid line. 6. Use gazkatf to report in the previous figure the intercept and slope of the linear fit

An electrical capacitor with an unknown capacitance is connected to the circuit shown. The switch is first connected R-2000 2 ww- to B and the capacitor is charged. Then, the switch is connected to A and the capacitor discharges through the resistor. As the capacitor is discharging, the voltage across the capacitor is measured for 10 s in intervals of 1s. The recorded measurements are given in the table below. Vo 1 | 2 Vm | 94 3 |5 4 9 10 7.31 5.15 | 3.55 | 2.81 2.04 1.26 0.97 0.74 0.58 You recall from PHYS2102 that the voltage of the capacitor, during a discharge, as function of time is given by V = V, e-t/(RC) This exponential equation can be written as a linear equation of in(V) and t in the form: In(V) = t + In(V.) RC Use Matlab to do the following "In all graphs add title,Iegend and axis labels 1. Estimate the time at which the voltage V= 6.5 v. 2. Estimate, using spline interpolation, the voltage V1 corresponding to 30 times varying from 1 to 10s. 3. In the same figure (34 subplot), plot the experimental voltage data as blue diamond and the interpolated voltage as solid magenta line. 4. Plot in the 4 subplot in(V) vs t as red squares. 5. Use linear fitting of In(V) vs t, and plot in the same 4* subplot, the fitting curve as black solid line. 6. Use gazkatf to report in the previous figure the intercept and slope of the linear fit

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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R-2000 2 An electrical capacitor with an unknown capacitance is connected to the circuit shown. The switch is first connected to B and the capacitor is charged. Then, the switch is connected to A and the capacitor discharges through the resistor. As the capacitor is discharging, the voltage across the capacitor is measured for 10 s in intervals of 1 s. The recorded measurements are given in the table below. Vo | 3| 4 | 5 | 3.55 2.81 6 7 1.26 | 2 8 10 V(V) | 9.4. 7.31 | 5.15 2.04 0.97 0.74 | 0.58 You recall from PHYS2102 that the voltage of the capacitor, during a discharge, as function of time is given by V = V, e*t/(RC) This exponential equation can be written as a linear equation of In(V) and t in the form : In(V) = t + In(V6) Use Matlah to do the following: "In all graphs add title, sgend and axis labels 1. Estimate the time at which the voltage V = 6.5 V. 2. Estimate, using spline interpolation, the voltage V1 corresponding to 30 times varying from 1 to RC 10s. 3. In the same figure (3r4 subplot), plot the experimental voltage data as blue diamond and the interpolated voltage as solid magenta line. 4. Plot in the 4" subplot Im(V) vs t as red squares. 5. Use linear fitting of hn(V) vs t, and plot in the same 4ª subplot, the fiting curve as black solid line. 6. Use spriuf to report in the previous figure the intercept and slope of the linear fit
Transcribed Image Text:R-2000 2 An electrical capacitor with an unknown capacitance is connected to the circuit shown. The switch is first connected to B and the capacitor is charged. Then, the switch is connected to A and the capacitor discharges through the resistor. As the capacitor is discharging, the voltage across the capacitor is measured for 10 s in intervals of 1 s. The recorded measurements are given in the table below. Vo | 3| 4 | 5 | 3.55 2.81 6 7 1.26 | 2 8 10 V(V) | 9.4. 7.31 | 5.15 2.04 0.97 0.74 | 0.58 You recall from PHYS2102 that the voltage of the capacitor, during a discharge, as function of time is given by V = V, e*t/(RC) This exponential equation can be written as a linear equation of In(V) and t in the form : In(V) = t + In(V6) Use Matlah to do the following: "In all graphs add title, sgend and axis labels 1. Estimate the time at which the voltage V = 6.5 V. 2. Estimate, using spline interpolation, the voltage V1 corresponding to 30 times varying from 1 to RC 10s. 3. In the same figure (3r4 subplot), plot the experimental voltage data as blue diamond and the interpolated voltage as solid magenta line. 4. Plot in the 4" subplot Im(V) vs t as red squares. 5. Use linear fitting of hn(V) vs t, and plot in the same 4ª subplot, the fiting curve as black solid line. 6. Use spriuf to report in the previous figure the intercept and slope of the linear fit
Home Assignment -1 Spring 2021 Q2. R-2000 2 An electrical capacitor with an unknown capacitance is connected to the circuit shown. The switch is first connected to B and the capacitor is charged. Then, the switch is connected to A and the capacitor discharges through the resistor. As the capacitor is discharging, the voltage across the capacitor is measured for 10 s in intervals of 1s. The recorded measurements are given in the table below. Vo с и { (3) | V(V) |9.4 3 4 3.55 2 6 10 7.31 5.15 2.81 2.04 1.26 0.97 0.74 0.58 You recall from PHYS2102 that the voltage of the capacitor, during a discharge, as function of time is given by V = V, e*t/(RC) This exponential equation can be written as a linear equation of In(V) and t in the form: In(V) =t + In(Vo) RC Use Matlab to do the following: "In all graphs add title, legend and axis labels 1. Estimate the time at which the voltage V = 6.5 V. 2. Estimate, using spline interpolation, the voltage V1 corresponding to 30 times varying from 1 to 10s. 3. In the same figure (3+4 subplot), plot the experimental voltage data as blue diamond and the interpolated voltage as solid magenta line. 4. Plot in the 4" subplot im(V) vs t as red squares. 5. Use linear fitting of In(V) vs 1, and plot in the same 4th subplot, the fittig curve as black solid line. 6. Use spriutf to report in the previous figure the intercept and slope of the linear fit
Transcribed Image Text:Home Assignment -1 Spring 2021 Q2. R-2000 2 An electrical capacitor with an unknown capacitance is connected to the circuit shown. The switch is first connected to B and the capacitor is charged. Then, the switch is connected to A and the capacitor discharges through the resistor. As the capacitor is discharging, the voltage across the capacitor is measured for 10 s in intervals of 1s. The recorded measurements are given in the table below. Vo с и { (3) | V(V) |9.4 3 4 3.55 2 6 10 7.31 5.15 2.81 2.04 1.26 0.97 0.74 0.58 You recall from PHYS2102 that the voltage of the capacitor, during a discharge, as function of time is given by V = V, e*t/(RC) This exponential equation can be written as a linear equation of In(V) and t in the form: In(V) =t + In(Vo) RC Use Matlab to do the following: "In all graphs add title, legend and axis labels 1. Estimate the time at which the voltage V = 6.5 V. 2. Estimate, using spline interpolation, the voltage V1 corresponding to 30 times varying from 1 to 10s. 3. In the same figure (3+4 subplot), plot the experimental voltage data as blue diamond and the interpolated voltage as solid magenta line. 4. Plot in the 4" subplot im(V) vs t as red squares. 5. Use linear fitting of In(V) vs 1, and plot in the same 4th subplot, the fittig curve as black solid line. 6. Use spriutf to report in the previous figure the intercept and slope of the linear fit
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