Please answer all questions with clear explanations and equations as necessary.

You work in an electronics company, and just have heard the news that another team has successfully developed a very reliable, Very compact \"voltage triggered special SWitch\Cap 21 citor volta g c 0 0 Because it ta will be a peri kes some time (the "charging time" Atc in the above figure) to charge the capacitor from 1/1 to V2, and also discharge the capacitor from V2 to VI (the \"discharge tirne\" AtD in the above figure), there odic current ow through the resistor R2. Your task is to tune the circuit so that the period of the current flow through the resistor R2 is Atdmk : 1.00 sec and understand some factors that influence the period Atdmk. You first want to determine the capacitance of the capacitor you chose. For a better accuracy, you want to determine the capacitance by measuring the charging time, rather than using the nominal value written on the capacitor The charging curve is of the shape shown by the initial solid red line followed by the red dotted line Along this charging curve, you have measured the voltage across the capacitor while charging the capacitor with a battery providing a constant voltage of 10 V. The data is shown in the table below. time (sec) capacitor voltage (V) 0 0 0.0739 1.478 0.314 4.932 0.439 6.133 0.744 8.002 time (a) If the resistance R1 = 110 0, what is the value of the capacitance? You can input the tabulated data to your Capstone program and carry out a nonlinear fitting using the mathematical function describing how the voltage across a capacitor in a RC circuit changes during charging as a function of time. mF (mili-farad) (b) If the two switch trigger voltages are V1 = 5.5 V and V2 = 7.5 V, what is the charging time Atc? sec (c) In order to have the intended clock period Atclock = 1.00 sec, what should be the value of the resistance R2? (d) During a discharing time period when the voltage across the capacitor decreases from V2 to V1, what is the average current that flows through the resistor R2? A (ampere) (e) In the box below, provide your answers to the following two questions: i) What would happen to the clock period Atclock if you increase the capacitance while keeping all other parameters (R1, R2, Vo, V1, V2) the same? Would the period Atclock increase, remain the same, or decrease? ii) What would happen to the clock period Atclock if you increase the battery voltage Vo while keeping all other parameters (R1, R2, C, V1, V2) the same? Would the period Atclock increase, remain the same, or decrease