Question: A source with emf e and internal resistance r is connected to an external circuit. (a) Show that the power output of the source is

A source with emf e and internal resistance r is connected to an external circuit.
(a) Show that the power output of the source is maximum when the current in the circuit is one-half the short circuit current of the source.
(b) If the external circuit consists of a resistance R, show that the power output is maximum when R = r and that the maximum power is E2/4r.

Step by Step Solution

★★★★★

3.31 Rating (178 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

IDENTIFY The power output of the source is VI EII SET UP The shortcircuit current is Ish... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

P-E-C-R (161).docx

120 KBs Word File

Students Have Also Explored These Related Electricity and Magnetism Questions!

A battery with internal resistance r is connected to a load resistance R. If R is increased, does the terminal voltage of the battery increase, decrease, or stay the same? Explain.

An insulated spring-loaded piston/cylinder is connected to an air line flowing air at 600 kPa, 700 K by a valve. Initially the cylinder is empty and the spring force is zero. The valve is then opened...

A battery of emf ? = 2.00 V and internal resistance r = 0.500? is driving a motor. The motor is lifting 2.00 N mass at constant speed v = 0.500 m/s. Two combinations of current i in the battery-motor...

The capacitor in the gure has a capacitance of 29 uF and is initially uncharged. The battery provides a potential difference of 140 V. After switch Sis closed, how much charge will pass through it?...

Part A When the switch in (Figure 1) is open, the voltmeter Part A V across the battery reads 3.01 V . When the Consider the circuit shown in (Figure 1). The terminal switch is closed, the voltmeter...

A battery has an emf Є and internal resistance r. A variable load resistor R is connected across the terminals of the battery. (a) Determine the value of R such that the potential difference...

7) Kirchoff's loop rule may be applied to the circuit shown. R 2R R 28 Which is the correct equation to represent the dotted loop? A) 0- 3RI, -281, B) 0- 3RI, +281, C) = 2RI, -RI. D) = 2RI, + RI. 8)...

Colby Corporation has provided the following information: Operating income was $199,700. Operating expenses were $111,000. Interest expense was $9,200. The proceeds from the plant and equipment sale...

Please help me .. am stuck... please address all questions clearly:- The power rating of a motor can be modified to account for different ambient temperature, according to the following table:...

A single cell of e.m.f. 1.5 V is connected across a 0.30 resistor. The current in the circuit is 2.5 A. a. Calculate the terminal p.d. and explain why it is not equal to the e.m.f. of the cell. b....

Refer to the context of the motel chain in Exercise 32. Assume that the estimated model meets the conditions for using the MRM for inference. (a) Does the estimated multiple regression equation...

What are the seven main classes of air pollutants, and what are some of their effects?

A lender expects a borrower to solve problems during the moratorium period. Group of answer choices True False

State whether supply/demand analysis used without significant modification is suitable to assess the following: a. The impact of an increase in the demand for pencils on the price of pencils. b. The...

The ANOVA in this chapter compares the yield of 5 varieties of wheat. In fact, the Colorado trials involved 54 varieties! Suppose our grower in eastern Colorado was interested in comparisons among...

For mallard ducks and Canada geese, what percentage of nests are successful (at least one offspring survives)? Studies in Montana, Illinois, Wyoming, Utah, and California gave the following...

Consider the data shown in the following plot. Each group has 12 cases. Do the means appear statistically significant? Estimate the p-value: Is it about 0.5, about 0.05, or less than 0.0001? 150...

What was the age distribution of prehistoric Native Americans? Extensive anthropological studies in the southwestern United States gave the following information about a prehistoric extended family...

Sketch the points (0, 5, 2), (4, 0, 1), (2, 4, 6), and (1, 1, 2) on a single set of coordinate axes.

Wescott Company has three divisions: A, B, and C. The company has a hurdle rate of 8 percent. Selected operating data for the three divisions are as follows: Division A Division B Division C Sales...

A mining company is considering a new project. Because the mine has received a permit, the project would be legal; but it would cause significant harm to a nearby river. The firm could spend an...

Building on its reputation for manufacturing no-thrills, efficient and affordable automobiles, the Indian car manufacturer Indy Cars Ltd. Is ready to launch an international marketing campaign,...