Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 28, Problem 29SP
Show that if two resistors are connected in parallel, the rates at which they produce thermal energy vary inversely as their resistances.
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Students have asked these similar questions
Equation P = I2R Seems to suggest that rate of increase of internal energy in a resistor is reduced, if the resistance is made less. Equation P = V2/R seams to suggest just the opposite. How do you reconcile this apparent paradox?
When two identical resistors are connected in series to a 100 V voltage source, the current is measured to be 7 mA.
Now suppose the resistors are connected to the voltage in parallel. Find the power supplied by the source.
(in W)
OA: 2.800 B: 4.060OC: 5.887 OD: 8.536 OE: 1.238Ă—10Âą OF: 1.795Ă—10Âą OG: 2.602Ă—10Âą OH: 3.773x10Âą
Is it possible to arrange two resistors so that the equivalent resistance is smaller than the resistance of either of the resistors? If you answer yes, how would you do it?
Chapter 28 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 28 - Prob. 18SPCh. 28 - 19. Compute the equivalent resistance of (a) 3.0...Ch. 28 - 20. What resistance must be placed in parallel...Ch. 28 - 21. How many 160-Ω resistors (in parallel) are...Ch. 28 - 28.22 [II] Three resistors, of 8.0, 12, and 24,...Ch. 28 - Prob. 24SPCh. 28 - 25. Three resistors, of 40 Ω, 60 Ω, and 120 Ω, are...Ch. 28 - Prob. 26SPCh. 28 - 27. A 36-Ω galvanometer is shunted by a resistor...Ch. 28 - 28.28 [II] A relay having a resistance of 6.0 ...
Ch. 28 - 28.29 [II] Show that if two resistors are...Ch. 28 - 28.30 [II] For the circuit shown in Fig. 28-13,...Ch. 28 - 28.31 [II] For the circuit shown in Fig. 28-14,...Ch. 28 - 28.32 [II] It is known that the potential...Ch. 28 - 28.33 [II] In the circuit shown in Fig. 28-16,...Ch. 28 - 28.34 [II] For the entire circuit shown in Fig....Ch. 28 - 28.35 [II] In the circuit shown in Fig. 28-18, the...Ch. 28 - 36. The Wheatstone bridge shown in Fig. 28-19 is...Ch. 28 - 37. The slidewire Wheatstone bridge shown in Fig....Ch. 28 - 28.38 [II] Referring to the circuit in Fig. 28-21,...Ch. 28 - 28.39 [II] Referring to the circuit in Fig. 28-22,...
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- Resistors are commonly rated at 18W,14W,12W ,1 W and 2 W for use in electrical circuits. If a current of1 = 2.00 A is accidentally passed through a R=1.00 resistor rated at 1 W, what would be the most probable outcome? Is there anything that can be done to prevent such an accident?arrow_forwardThe potential difference across the filament of a light-bulb is maintained at a constant value while equilibrium temperature is being reached. The steady-state current in the bulb is only one-tenth of the current drawn by the bulb when it is first turned on. If the temperature coefficient of resistivity for the bulb at 20.0C is 0.004 50 (C)-1 and the resistance increases linearly with increasing temperature, what is the final operating temperature of the filament?arrow_forwardThe power dissipated in a resistor is given by P = V2/R, which means power decreases if resistance increases. Yet this power is also given by P = I2R, which means power increases if resistance increases. Explain why there is no contradiction here.arrow_forward
- Explain why R=R0(1 + a?T) for the temperature variation of the resistance R of an object is not as accurate as P=P0(1 + a?T) which gives the temperature variation of resistivity P.arrow_forwardWhile taking photographs in Death Valley on a day when the temperature is 58.0C, Bill Hiker finds that a certain voltage applied to a copper wire produces a current of 1.000 A. Bill then travels to Antarctica and applies the same voltage to the same wire. What current does he register there if the temperature is 88.0C? Assume that no change occurs in the wires shape and size.arrow_forwardA 0.50-W, 220- resistor carries the maximumcurrent possible without damaging the resistor. If the current were reduced to half the value, what would be the power consumed?arrow_forward
- Power P0 = I0 V0 is delivered to a resistor of resistance R0. If the resistance is doubled (Rnew = 2R0) while the voltage is adjusted such that the current is constant, what are the ratios (a) Pnew/P0 and (b) Vnew/V0? If, instead, the resistance is held constant while Pnew = 2P0, what are the ratios (c) Vnew/V0, and (d) Inew/I0?arrow_forwardWhen a straight wire is heated, its resistance changes according to the equation R = R0 [1 + (T T0)] (Eq. 17.7), where is the temperature coefficient of resistivity. (a) Show that a more precise result, which includes the length and area of a wire change when it is heated, is R=R0[1+(TT0)][1+(TT0)][1+2(TT0)] where is the coefficient of linear expansion. (See Topic 10.) (b) Compare the two results for a 2.00-m-long copper wire of radius 0.100 mm, starting at 20.0C and heated to 100.0C.arrow_forwardReview. When a straight wire is warmed, its resistance is given by R = R0,[1 + a(T T0)] according to Equation 27.20, where a is the temperature coefficient of resistivity. This expression needs to be modified if we include the change in dimensions of the wire due to thermal expansion. For a copper wire of radius 0.100 0 mm and length 2.000 m, find its resistance at 100.0C, including the effects of both thermal expansion and temperature variation of resistivity. Assume the coefficients are known to four significant figures.arrow_forward
- When three identical resistors are connected in series to a battery 220 V, total dissipated power is 45.0 W. What power would be dissipated if the two of these three resistors were connected in parallel across the same potential difference? Please write your answer in W.arrow_forwardHow much current flows in a 1000 Ω resistor when there is a potential difference of 1.5 V?arrow_forwardCarbon has a negative temperature coefficient of resistance of –0.5 x 10-3 /(°C). What temperature increase would result in a resistance decrease of 1% for a carbon resistor?arrow_forward
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