Question

In: Physics

A generator at a utility company produces 100 A of current at 4.0 x 103 V....

A generator at a utility company produces 100 A of current at 4.0 x 103 V. The voltage is stepped up to 2.4 x 105 V by a transformer before being sent on a high voltage line across a rural area to a city. Assume the effective resistance of the line is 30.0 Ω and the transformers are ideal.

a. Determine the percentage of power lost in the transmission line.

b. What percentage would be lost if the voltage would not have been stepped up?

c. How many kW-hr of energy is lost each day if the voltage would not have been stepped up?

d. Calculate the cost of this energy loss if the price of electricity is $.11/kW-hr.

Solutions

Expert Solution

The generator produces of current at .

The power produced by the generator is

Since the input and output power to a transformer remains the same, we can calculate the output current of the transformer

Part A

The power lost due to resistance can be calculated by the formula

The current we consider is the output current of the transformer, .

The percentage of power lost will be equal to

Part B

If the power is not stepped up, it would have the original amperage of .

The percentage of power loss would be

This is much higher than the original power loss, and is the reason why voltages are stepped up, to prevent resistive(Ohmic) losses.

Part C

The powerloss is

The energy lost in an hour is

The energy lost in a day will be twenty-four times this.

Part D

The cost of this energy loss will be the daily energy loss times the cost per kilo-watt hour.


Related Solutions

A small generator produces 2.4 V of peak emf. If it contains a 0.050-T permanent magnet...
A small generator produces 2.4 V of peak emf. If it contains a 0.050-T permanent magnet and 96 wire loops, each of which is roughly a 6.0-cm diameter circle, at what frequency does the generator rotate?
Consider the utility functions of three individuals: u(x) = x1/2, v(x) = ln x, and h(x)...
Consider the utility functions of three individuals: u(x) = x1/2, v(x) = ln x, and h(x) = x – 0.01 x2, where x represents wealth. Consider also the following lotteries: X = (w0 + x1, w0 + x2, w0 + x3; ¼, ½, ¼ ) = (4, 16, 25; ¼, ½, ¼), where w0 = $2, and lottery Y in which w1 = $10, so that Y = (12, 24, 33; ¼, ½, ¼). Note that Y = X +...
Use a graphing utility to graph V(x) = x(12- 2x)2​, which expresses the volume of a​...
Use a graphing utility to graph V(x) = x(12- 2x)2​, which expresses the volume of a​ box, V, as a function of the length of the side of the square cut from each​ corner, x, of a sheet of square cardboard with a side length of 12 inches. Then use the trace button or maximum function feature to find the length of the side of the square that should be cut from each corner of the cardboard to create a...
Managerial Decision Making Model Short Answer Something's wrong! Generator X Company produces two generators. The Excel...
Managerial Decision Making Model Short Answer Something's wrong! Generator X Company produces two generators. The Excel has been manufactured for more than 20 years and it sells for $900. The Power is a new model developed and marketed approximately two years ago. It sells for $1,140. Based on the information in the company's income statement for 2020, upper management wants to downscale the spend available marketing dollars on the Power while beginning to phase out the production of the Excel....
Toby's current marginal utility from consuming peanuts is 100 utils per ounce and his marginal utility...
Toby's current marginal utility from consuming peanuts is 100 utils per ounce and his marginal utility from consuming cashews is 100 utils per ounce. If peanuts cost $.10 per ounce and cashews cost $.25 per ounce, is Toby maximizing his total utility from the kinds of nuts? At the current level of peanut consumption, Toby receive___utils per dollar At the current level of cashews consumption, Toby receives __Utils per dollar Therefore, Toby ----maximizing his total utility because MU plPp is--MUdPc.
A clothing company has 100 yards of cloth and produces shirts (x units) and vests (y...
A clothing company has 100 yards of cloth and produces shirts (x units) and vests (y units). Shirts require 10 units and have profit value of $5, while vests require 4 units and have profit value of $4. What is the optimal production solution? What if the company decides to also put a “non-zero constraint” on all production? Must produce at least 3 shirts and 10 vests.
A company produces 100 items of Product X and 1500 items of Product Y. Someone suggested...
A company produces 100 items of Product X and 1500 items of Product Y. Someone suggested to the management to try and focus on producing only one product instead of two. The Management is not sure which product would be more viable for them to produce as they currently adopt a Traditional Costing system, hence both products have the same cost price. You were asked to suggest an alternative way of computing costs, thus being able to direct the Management...
The Kretovich Company had a quick ratio of 0.8, a current ratio of 4.0, a days'...
The Kretovich Company had a quick ratio of 0.8, a current ratio of 4.0, a days' sales outstanding of 36.5 days (based on a 365-day year), total current assets of $920,000, and cash and marketable securities of $95,000. What were Kretovich's annual sales? Do not round intermediate calculations. Round your answer to the nearest dollar.
The Kretovich Company had a quick ratio of 1.5, a current ratio of 4.0, a days'...
The Kretovich Company had a quick ratio of 1.5, a current ratio of 4.0, a days' sales outstanding of 36.5 days (based on a 365-day year), total current assets of $820,000, and cash and marketable securities of $90,000. What were Kretovich's annual sales? Do not round intermediate calculations. Round your answer to the nearest dollar.
The Kretovich Company had a quick ratio of 0.8, a current ratio of 4.0, a days'...
The Kretovich Company had a quick ratio of 0.8, a current ratio of 4.0, a days' sales outstanding of 36.0 days (based on a 365-day year), total current assets of $870,000, and cash and marketable securities of $95,000. What were Kretovich's annual sales? Do not round intermediate calculations. Round your answer to the nearest cent.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT