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1. A 2.5-K ohm resistor and a 4.4-mF capacitor are in series, and the combinatio

ID: 2290775 • Letter: 1

Question

1. A 2.5-K ohm resistor and a 4.4-mF capacitor are in series, and the combination is connected across a 15-V power supply. Find the charge on the capacitor and current in the resistor after a time of (a). 1.0 s and (b). 10 s.

2. Ion channel. The potential differences across the ion channel described in example 17.1 is 80 mV. (a). What's the resistance of the Ion channel? (b). The Ion channel can be modeled as a cylinder with a lenght of 6.0 nm and a diameter of 0.35 nm. What is the resistivity of the fluid filling the channel? (c). At what rate is energy dissipated while the ions are flowing?

Please follow the format of the six-step below:

Structured Problem Solving

A major difficulty that students will often encounter is an inability to approach a problem in a systematic manner. The following procedural method is intended to guide you through solving any physics problem. My further hope is that through using this process you will realize that any problem in life, no matter how difficult is appears to be, can be addressed by breaking it down into steps.

Key Idea: Write down a short statement of the physical principle which you think is the most relevant to solving the problem. Describe the elements of the problem which indicated that this physical principle might be applicable.

Stock of Data: Make a list of the numerical data you are given in the problem description. Be sure to include units. List quantities you are asked to calculate with trailing question marks. This step may include a diagram indicating your understanding of the problem.

I.D. Equation: Choose an equation which reflects both the key idea of your problem and information from your stock of data. You may need more than one equation.

Solve: If the equation or equations you have chosen are not already solved for you unknown then do the algebra to accomplish this now. Be sure to show enough detail in each step so that a reader can follow your work.

Substitute in Numerical Data: Once you have an analytic solution, substitute numerical values into the analytic solution to obtain the final answer.

Sanity Check: Answer the question. "Does this answer make sense in light of the rest of the knowledge I possess?" The sanity check could include a back of the envelope calculation done with a single significant digit or a unit analysis of the final answer.

Explanation / Answer

When an increasing DC voltage is applied to a discharged Capacitor, the capacitor draws a charging current and