Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 25, Problem 90P

(a)

To determine

The current in each resistor

(a)

Expert Solution
Check Mark

Answer to Problem 90P

The current in each resistor is I1,2Ω=2A, I2Ω=1AandI6Ω=1A .

Explanation of Solution

Given:

The voltage of the battery is ε=8V .

The circuit is shown in figure.

  Physics for Scientists and Engineers, Chapter 25, Problem 90P

Figure (1)

Formula used:

The expression for the Kirchhoff’s junction ruleis given by,

  Iin=Iout

The expression for the Kirchhoff’s loop rule is given by:

  V=0

Calculation:

Applying the Kirchhoff’s loop rule to the outside loop of the circuit:

  8V+4V(1 Ω×I 1,2Ω)(6 Ω×I 6Ω)(2 Ω×I 1,2Ω)=03Ω×I1,2Ω+6Ω×I6Ω=12V ..... (1)

Similarly, apply the Kirchhoff’s loop rule to the inside loop at the LHS of the circuit:

  8V+4V(1 Ω×I 1,2Ω)(2 Ω×I 2Ω)(2 Ω×I 1,2Ω)4V=03Ω×I1,2Ω+2Ω×I2Ω=8V

Apply the Kirchhoff’s junction rule,

  I6Ω=I2Ω+I1,2Ω3Ω×I1,2Ω+6Ω×(I 2Ω+I 1,2Ω)=12V (2)

On solving (1) and (2) equation,

  I1,2Ω=2AI2Ω=1AI6Ω=2A+(1A)=1A

Conclusion:

Therefore, the current in each resistor is I1,2Ω=2A, I2Ω=1AandI6Ω=1A .

(b)

To determine

The power supplied by each source of emf.

(b)

Expert Solution
Check Mark

Answer to Problem 90P

The power supplied by each source of emf is P8V=16W and P4V=4W .

Explanation of Solution

Formula used:

The expression for the power supplied by emf source is given by,

  P=IV

Calculation:

The power delivered by the source of emf 8V is calculated as,

  P=IVP8V=I1,2Ω×8V=(2A)×(8V)=16W

The power delivered by source of 4V is calculated as,

  P4V=I2Ω×4V=(1A)×(4V)=4W

Conclusion:

Therefore, the power supplied by each source of emf is P8V=16W and P4V=4W .

(c)

To determine

The power delivered to each resistor

(c)

Expert Solution
Check Mark

Answer to Problem 90P

The power delivered to each resistor is P1Ω=2W , P2Ω=4W , P2Ω=2W and P6Ω=6W .

Explanation of Solution

Formula used:

The expression for the power delivered by the resistoris given by,

  P=IR2

Calculation:

The delivered by the 1Ω resistor is given by

  P1Ω=I1,2Ω( R 1Ω)2=(2A)(1Ω)=2W

Similarly,

  P2Ω=I1,2Ω( R 2Ω)2=(2A)(2Ω)=4W

  P2Ω=I2Ω( R 2Ω)2=(1A)(2Ω)=2W

  P6Ω=I6Ω( R 6Ω)2=(1A)(6Ω)=6W

Conclusion:

Therefore, the power delivered to each resistor is P1Ω=2W , P2Ω=4W , P2Ω=2W and P6Ω=6W .

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Chapter 25 Solutions

Physics for Scientists and Engineers

Ch. 25 - Prob. 11PCh. 25 - Prob. 12PCh. 25 - Prob. 13PCh. 25 - Prob. 14PCh. 25 - Prob. 15PCh. 25 - Prob. 16PCh. 25 - Prob. 17PCh. 25 - Prob. 18PCh. 25 - Prob. 19PCh. 25 - Prob. 20PCh. 25 - Prob. 21PCh. 25 - Prob. 22PCh. 25 - Prob. 23PCh. 25 - Prob. 24PCh. 25 - Prob. 25PCh. 25 - Prob. 26PCh. 25 - Prob. 27PCh. 25 - Prob. 28PCh. 25 - Prob. 29PCh. 25 - Prob. 30PCh. 25 - Prob. 31PCh. 25 - Prob. 32PCh. 25 - Prob. 33PCh. 25 - Prob. 34PCh. 25 - Prob. 35PCh. 25 - Prob. 36PCh. 25 - Prob. 37PCh. 25 - Prob. 38PCh. 25 - Prob. 39PCh. 25 - Prob. 40PCh. 25 - Prob. 41PCh. 25 - Prob. 42PCh. 25 - Prob. 43PCh. 25 - Prob. 44PCh. 25 - Prob. 45PCh. 25 - Prob. 46PCh. 25 - Prob. 47PCh. 25 - Prob. 48PCh. 25 - Prob. 49PCh. 25 - Prob. 50PCh. 25 - Prob. 51PCh. 25 - Prob. 52PCh. 25 - Prob. 53PCh. 25 - Prob. 54PCh. 25 - Prob. 55PCh. 25 - Prob. 56PCh. 25 - Prob. 57PCh. 25 - Prob. 58PCh. 25 - Prob. 59PCh. 25 - Prob. 60PCh. 25 - Prob. 61PCh. 25 - Prob. 62PCh. 25 - Prob. 63PCh. 25 - Prob. 64PCh. 25 - Prob. 65PCh. 25 - Prob. 66PCh. 25 - Prob. 67PCh. 25 - Prob. 68PCh. 25 - Prob. 69PCh. 25 - Prob. 70PCh. 25 - Prob. 71PCh. 25 - Prob. 72PCh. 25 - Prob. 73PCh. 25 - Prob. 74PCh. 25 - Prob. 75PCh. 25 - Prob. 76PCh. 25 - Prob. 77PCh. 25 - Prob. 78PCh. 25 - Prob. 79PCh. 25 - Prob. 80PCh. 25 - Prob. 81PCh. 25 - Prob. 82PCh. 25 - Prob. 83PCh. 25 - Prob. 84PCh. 25 - Prob. 85PCh. 25 - Prob. 86PCh. 25 - Prob. 87PCh. 25 - Prob. 88PCh. 25 - Prob. 89PCh. 25 - Prob. 90PCh. 25 - Prob. 91PCh. 25 - Prob. 92PCh. 25 - Prob. 93PCh. 25 - Prob. 94PCh. 25 - Prob. 95PCh. 25 - Prob. 96PCh. 25 - Prob. 97PCh. 25 - Prob. 98PCh. 25 - Prob. 99PCh. 25 - Prob. 100PCh. 25 - Prob. 101PCh. 25 - Prob. 102PCh. 25 - Prob. 103PCh. 25 - Prob. 104PCh. 25 - Prob. 105PCh. 25 - Prob. 106PCh. 25 - Prob. 107PCh. 25 - Prob. 108PCh. 25 - Prob. 109PCh. 25 - Prob. 110PCh. 25 - Prob. 111PCh. 25 - Prob. 112PCh. 25 - Prob. 113PCh. 25 - Prob. 114PCh. 25 - Prob. 115PCh. 25 - Prob. 116PCh. 25 - Prob. 117PCh. 25 - Prob. 118PCh. 25 - Prob. 119PCh. 25 - Prob. 120P
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