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R1=2.0? ________________^^^^^_______ | | | < | < R2=2.0? < | R4=2.00 ? | -------

ID: 2103422 • Letter: R

Question



  R1=2.0?

            ________________^^^^^_______                                                                     

|                                                           |

            |                                                           <         

|                                                           < R2=2.0?

                                                                        <

|     R4=2.00 ?                                  |

-----------------^^^^^----------------------------------------

            |                                                           |

|________________^^^^^______|

                                                R3=2.0?

Suppose the resistor arrangement above is connected to a 12-V battery. (a) What will be the current in each resistor? (b) What will the voltage drop across each resistor? (c) What would the total power delivered?

Explanation / Answer

R eq = (R1 + R2)||R4||R3

Req = 0.8 ohm


a)

I1= I2 = V/(R1 + R2) = 12/4 = 3A

I3 = 12/2 = 6A

I4 = 12/2 = 6A


b)V across R1 = V across R2 = 12/2 = 6V

V across R3 = V across R4 = 12V


c) Power= Vdrop^2 / R

= (6^2 + 6^2 + 12^2 +12^2 )/2 = 180 W