Question: Two batteries with emf E1 and E2 and internal resistances r1 and r2 are connected in parallel. Prove that if a resistor is connected in

Two batteries with emf E1 and E2 and internal resistances r1 and r2 are connected in parallel. Prove that if a resistor is connected in parallel with this combination, the optimal load resistance (the resistance at which maximum power is delivered) is R = r1r2/(r1 + r2).

Step by Step Solution

★★★★★

3.35 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Let I 1 be the current delivered by ... View full answer

blur-text-image
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)

Word file Icon

10-P-E-D-C (432).docx

120 KBs Word File

Students Have Also Explored These Related Electricity and Magnetism Questions!

Q:

If two resistors with resistances R1 and R2 are connected in parallel, as in the figure, then the total resistance R, measured in ohms (), is given by 1/R = 1/R1 + 1/R2 If R1 and R2 are increasing at...

Q:

If two resistors with resistances R1 and R2 are connected in parallel, as in the figure, then the total resistance R, measured in ohms (Ω), is given by 1/R = 1/R1 + 1/R2 If R1 and R2 are...

Q:

Two resistors, A and B, are connected in parallel across a 6.0-V battery. The current through B is found to be 2.0 A. When the two resistors are connected in series to the 6.0-V battery, a voltmeter...

Q:

/1630 GENERAL PHYSICS II- ONLINE LABORATORY Summer 2 Activity 3: Investigating Parallel Circuits 1. Rearrange the components of your circuit in the workspace so that your circuit looks like the...

Q:

Determine the equivalent resistance between the points A and B for group resistors in the drawing if R1 = 24.0 (2, R2 = 2.5 9, R3 = 9.2 0, R4 = 7.2 0, R5 = 3.8 Q, and R5 = 6.3 Q. l:] SubmitAnswer...

Q:

Determine the equivalent resistance between the points A and B for group resistors in the drawing if R1 = 24.0 (2, R2 = 2.5 9, R3 = 9.2 0, R4 = 7.2 0, R5 = 3.8 Q, and R5 = 6.3 Q. l:] SubmitAnswer...

Q:

Determine the equivalent resistance between the points A and B for group resistors in the drawing if R1 = 24.0 (2, R2 = 2.5 9, R3 = 9.2 0, R4 = 7.2 0, R5 = 3.8 Q, and R5 = 6.3 Q. l:] SubmitAnswer...

Q:

Determine the equivalent resistance between the points A and B for group resistors in the drawing if R1 = 24.0 (2, R2 = 2.5 9, R3 = 9.2 0, R4 = 7.2 0, R5 = 3.8 Q, and R5 = 6.3 Q. l:] SubmitAnswer...

Q:

Determine the equivalent resistance between the points A and B for group resistors in the drawing if R1 = 24.0 (2, R2 = 2.5 9, R3 = 9.2 0, R4 = 7.2 0, R5 = 3.8 Q, and R5 = 6.3 Q. l:] SubmitAnswer...

Q:

1: A defibrillator sends a 7.5 A current through the chest of a patient by applying a 12000 V voltage as in the figure. What is the resistance of the path in k? 2: During open-heart surgery, a...

Q:

ACTIVITY 2: A Moment to Complete Rotational Inertia Directions: Complete the table. Indicate the rank of the objects' moment of inertia in a descending order. Distance, m Object (Object to Moment of...

Q:

Access the 2011 consolidated financial statements for Thomson Reuters Corporation by going to investor relations section of the company's website. Answer the questions below. For each question,...

Q:

The interest costs on funds used to acquire an asset should not be capitalized even if a significant period of time is required to bring the asset to a condition or location necessary for its...

Q:

A tensile testing machine is shown in the following figure to determine the behavior of materials as they are deformed. (a) Use the provided data to calculate the stress and the corresponding strain...

Q:

Write down the Fourier series of the function f (x) with period T = 2n x for - nsx

Q:

If f(x) = cos(x) and g(x) x2 for -

Q:

If Lisa is 17 and 360 days old and makes a contract with RentACenter, what are the ramifications of her actions? a. Can Lisa make a valid contract? Why or why not? b. What happens if she contracts,...

Q:

Target Corporation prepares its financial statements according to U.S. GAAP. Target's financial statements and disclosure notes for the year ended January 30, 2016. are available in Conned. This...

Q:

Discuss how the current MMMF structure can create runs on funds.

Q:

Three parallel wires each carry current I in the directions shown in Fig. If the separation between adjacent wires is d, calculate the magnitude and direction of the net magnetic force per unit...

Q:

A long, horizontal wire AB rests on the surface of a table and carries a current I. Horizontal wire CD is vertically above wire AB and is free to slide up and down on the two vertical metal guides C...

Q:

Calculate the magnitude and direction of the magnetic field at point P due to the current in the semicircular section of wire shown in Fig. ->

Q:

grana40098698 - Saved to this PC Mailings Help Search Sign Layout References A A A A * A2.A Review View A .0 AaBb AaBbcl AaBbCcDd AaBbce A Heading 1 Heading 2 T Normal Subtitle 3 Paragraph Mini Case...

Q:

In a survey of 2025 adults in a certain country conducted during a period of economic uncertainty, 53% thought that wages paid to workers in industry were too low. The margin of error was 6...

Q:

Hodgkiss Enterprises has gathered projected cash flows for two projects. At what interest rate would the company be indifferent between the two projects? (Do not round intermediate calculations and...