Ch26Word - Chapter 26 p. 1 CHAPTER 26 DC Circuits 1. ( a )...

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Unformatted text preview: Chapter 26 p. 1 CHAPTER 26 DC Circuits 1. ( a ) For the current in the single loop, we have I a = V /( R a + r ) = (8.50 V)/(68.0 + 0.900 ) = 0.123 A. For the terminal voltage of the battery, we have V a = I a r = 8.50 V (0.123 A)(0.900 ) = 8.39 V . ( b ) For the current in the single loop, we have I b = V /( R b + r ) = (8.50 V)/(680 + 0.900 ) = 0.0125 A. For the terminal voltage of the battery, we have V b = I b r = 8.50 V (0.0125 A)(0.900 ) = 8.49 V . 2. The voltage across the bulb is the terminal voltage of the four cells: V = IR bulb = 4( Ir ); (0.62 A)(12 ) = 4[2.0 V (0.62 A) r ], which gives r = 0.23 . 3. If we can ignore the resistance of the ammeter, for the single loop we have I = / r ; 25 A = (1.5 V)/ r , which gives r = 0.060 . 4. We find the internal resistance from V = Ir ; 9.8 V = [12.0 V (60 A) r ], which gives r = 0.037 . Because the terminal voltage is the voltage across the starter, we have V = IR ; 9.8 V = (60 A) R , which gives R = 0.16 . 5. When the bulbs are connected in series, the equivalent resistance is R series = ? R i = 4 R bulb = 4(90 ) = 360 . When the bulbs are connected in parallel, we find the equivalent resistance from 1/ R parallel = ?(1/ R i ) = 4/ R bulb = 4/(90 ), which gives R parallel = 23 . 6. ( a ) When the bulbs are connected in series, the equivalent resistance is R series = ? R i = 3 R 1 + 3 R 2 = 3(40 ) + 3(80 ) = 360 . ( b ) When the bulbs are connected in parallel, we find the equivalent resistance from 1/ R parallel = ?(1/ R i ) = (3/ R 1 ) + (3/ R 2 ) = [3/(40 )] + [3/(80 )], which gives R parallel = 8.9 . 7. If we use them as single resistors, we have R 1 = 25 ; R 2 = 70 . When the resistors are connected in series, the equivalent resistance is R series = ? R i = R 1 + R 2 = 25 + 70 = 95 . When the resistors are connected in parallel, we find the equivalent resistance from 1/ R parallel = ?(1/ R i ) = (1/ R 1 ) + (1/ R 2 ) = [1/(25 )] + [1/(70 )], which gives R parallel = 18 ....
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This homework help was uploaded on 04/21/2008 for the course PHYS 292 taught by Professor Buldum during the Spring '08 term at The University of Akron.

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Ch26Word - Chapter 26 p. 1 CHAPTER 26 DC Circuits 1. ( a )...

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