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Two identical batteries of emf # ! 12.0 V and internal

Chapter , Problem 40

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QUESTION:

Two identical batteries of emf # ! 12.0 V and internal resistance r 0.200 are to be connected to an external resistance R, either in parallel (Fig. 27-50) or in series (Fig. 27-51). If R ! 2.00r, what is the current i in the external resistance in the (a) parallel and (b) series arrangements? (c) For which arrangement is i greater? If R ! r/2.00, what is i in the external resistance in the (d) parallel arrangement and (e) series arrangement? (f) For whicharrangement is i greater now?+ + rRFigure 27-51 40

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QUESTION:

Two identical batteries of emf # ! 12.0 V and internal resistance r 0.200 are to be connected to an external resistance R, either in parallel (Fig. 27-50) or in series (Fig. 27-51). If R ! 2.00r, what is the current i in the external resistance in the (a) parallel and (b) series arrangements? (c) For which arrangement is i greater? If R ! r/2.00, what is i in the external resistance in the (d) parallel arrangement and (e) series arrangement? (f) For whicharrangement is i greater now?+ + rRFigure 27-51 40

ANSWER:

Problem 40

Two identical batteries of emf  and internal resistance  are to be connected to an external resistance R, either in parallel (Fig. 27-50) or in series (Fig. 27-51). If R = 2.00r, what is the current i in the external resistance in the (a) parallel and (b) series arrangement? (c) For which arrangement is greater?

If R = r/200, what is i in the external resistance in the (d) parallel arrangement and (e) series arrangement? (f) For which arrangement is i greater now?

                                                 

                                                        Step by Step Solution

Step 1 of 4

The emf is E=12 V.

The internal resistance is r=0.2 ?.

The external resistance is R=2r.

Part (a)

The expression for the equivalent resistance is parallel is:

 

The expression for the current in the external resistance in the parallel is:

 

                                        

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