1. A resistor with resistance R = 30 MΩ is connected in series with a capacitor with capacitance 3 μF. What is the
time constant?
2. Determine the equivalent (total) resistance for each of the following circuits below.
1. Why do lights on a car become dimmer when you start a car?
2. Some Christmas tree lights have a characteristic that when one light (filament) burns out, the lights throughout go
out too. However, burned-out lights go out in other series lights. Discuss the difference between these two sets of
lights.
A researcher is interested in determining the average number of years employees of a company stay with the company. If past information shows a standard deviation of 6 months, what sample size should be taken so that, at 95% confidence, the margin of error will be 4 months or less. Assume that the data is normally distributed.
In the Framingham Offspring study 3630 subjects were on anti-hypertensive medication out of 4657 total subjects. What is the length of the 99 percent confidence interval for this data.
A sample of Alzheimer's patients are tested to assess the amount of time in stage IV sleep. It has been hypothesized that individuals suffering from Alzheimer's Disease may spend less time per night in the deeper stages of sleep. Number of minutes spent in Stage IV sleep is recorded for sixty-one patients. The sample produced a mean of 34 minutes with a standard deviation of 27 minutes of stage IV sleep over a 24 hour period of time. What is the length of the 95 percent confidence interval for this data.
A process has been developed that can transform ordinary iron into a kind of super iron called metallic glass. Metallic glass is three to four times stronger than the toughest steel alloys. To estimate the mean temperature at which a particular type of metallic glass becomes brittle, 20 pieces of this material were randomly sampled from a recent production run. Each piece was subjected to higher and higher temperatures until it became brittle. The temperature at which brittleness first appeared was recorded for each piece in the sample. The result suggests that the average temperature which brittleness first appeared is about 545 degrees Fahrenheit with a standard deviation of 27 degrees Fahrenheit. Calculate the length of the 95% confidence interval for the mean temperature at which a particular type of metallic glass becomes brittle.
1. Find the current density and drift velocity of free electrons when the particles travel on a copper conductor with a square cross-section of 1.0 mm on the side and carries a current of 40 A to a 5 hp electric meter and its density of 6.0 x 1028 electrons/m3
2. Suppose the resistance is 1.47 Ω at a temperature of 20°C. Find the resistance at 0 degree Celsius.
1. How would you expect the resistivity of a good insulator such as glass or polystyrene to vary with temperature?
2. A fuse is a device that is designed to break the circuit. It melts when the current exceeds its value. What
characteristics should the material have?
"subsidies are inefficient since they lead to a deadweight loss. do you agree? use diagrams to illustrate your answer
rahul purchases only 2 goods: ice cream and chocolates. if own price elasticity (d) of demand for chocolates is 1, what is the cross price elasticity of demand for ice creams? show your calculation/reasoning