(a)
The equivalent resistance of the circuit given.
(a)
Answer to Problem 60AP
The equivalent resistor of the circuit is
Explanation of Solution
Following figure shows the resistance connected a voltage source of
Figure-(1)
Write the expression for equivalent resistance connected in parallel.
Here,
Write the expression for equivalent resistance connected in series.
Here,
Following figure shows the rearranged circuit of the system from Figure (1) for better understanding.
Figure-(2)
Conclusion:
From figure (2) calculate the equivalent resistance for
Substitute
Following figure shows the reduced circuit for the above equivalence.
Figure-(3)
From figure (3) calculate the equivalent resistance for
Substitute
Following figure shows the reduced circuit for the above equivalence.
Figure-(4)
From figure (4) calculate the equivalent resistance for
Substitute
Following figure shows the reduced circuit for the above equivalence.
Figure-(5)
From figure (5) calculate the equivalent resistance for
Substitute
Therefore the equivalent resistor for the circuit is
(b)
The potential difference across each resistor.
(b)
Answer to Problem 60AP
voltage between junctions
Explanation of Solution
Write the expression for potential difference between two points of a resistor.
Here,
Conclusion:
Substitute
Calculate voltage drop across each
Substitute
Calculate voltage drop across
Substitute
Calculate current through
Substitute
Calculate voltage drop across
Substitute
Calculate the voltage drop across
Substitute
Therefore, voltage drop across the parallel resistor
Therefore, voltage between junctions
(c)
The each current indicated in the circuit.
(c)
Answer to Problem 60AP
ThecCurrent
Explanation of Solution
Rewrite Equation (III) to calculate
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, current
(d)
The power delivered to each resistor.
(d)
Answer to Problem 60AP
Power delivered to resistor
Explanation of Solution
Write the expression for power in resistor.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, power at resistor
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Chapter 28 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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