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Chapter 27: Q25P (page 796)
Question: Nine copper wires of length land diameter dare connected in parallel to form a single composite conductor of resistance R. What must be the diameter Dof a single copper wire of length lif it is to have the same resistance?
Answer
The diameter for the single copper wire is D = 3d.
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In Fig. 27-81, the ideal batteries have emfs , , , and , and the resistances are each . What are the
(a) size and
(b) direction (left or right) of currenti1and the
(c) size and
(d) direction of current?(This can be answered with only mental calculation.) (e) At what rate is energy being transferred in battery 4, and
(f) is the energy being supplied or absorbed by the battery?
Figure shows a circuit of four resistors that are connected to a larger circuit. The graph below the circuit shows the electric potential V(x) as a function of position xalong the lower branch of the circuit, through resistor 4; the potential VAis 12.0 V. The graph above the circuit shows the electric potential V(x) versus position x along the upper branch of the circuit, through resistors 1, 2, and 3; the potential differences are2.00 V and5.00 V. Resistor 3 has a resistance of 200 鈩�. What is the resistance of (a) Resistor 1 and (b) Resistor 2?
(a) In electron-volts, how much work does an ideal battery with a 12.0 V emf do on an electron that passes through the battery from the positive to the negative terminal? (b) If 3.40electrons pass through each second, what is the power of the battery in watts?
A 10-km-long underground cable extends east to west and consists of two parallel wires, each of which has resistance 13 鈩�/km. An electrical short develops at distance xfrom the west end when a conducting path of resistance Rconnects the wires (Figure). The resistance of the wires and the short is then 100 鈩� when measured from the east end and 200 鈩� when measured from the west end. What are
(a) xand
(b) R?
Question: Figure shows a battery connected across a uniform resistor R-0. A sliding contact can move across the resistor from x = 0 at the left to x = 10 at the right. Moving the contact changes how much resistance is to the left of the contact and how much is to the right. Find the rate at which energy is dissipated in resistor as a function of x. Plot the function for and .
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