Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 25, Problem 54P
To determine
The maximum operating current.
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You decide to use a toaster to toast a slice of bread using the wall outlet of your home. Knowing that the voltage supply of your home is alternating given by the function V = 120 sin (2 πft), where f = 120 Hz and t is time in seconds:
a) If the toaster oven uses nichrome wire that measures a total length of 0. 25 m with a thickness of 0.5 mm (diameter of wire), what is the resistance of the wire when heats up to 100.0 C from room temperature of 20. 0 °C?
b) Knowing the resistance value of the wire from part a) and using Ohms Law, write the alternating current equation.
c) What is the rms value for current and voltage for our toaster oven circuit?
d) How much average electrical energy J does the toaster oven use if you toast your bread for 1 minute?
A capacitor that is initially uncharged is connected in series with a resistor and an emf source with EEEMF = 110 VV and negligible internal resistance. Just after the circuit is completed, the current through the resistor is 6.6×10−5 AA. The time constant for the circuit is 4.3 s.What is the resistance of the resistor?
A 12.0 V emf automobile battery has a terminal voltage of 14.0 V when being charged by a current of 10.8 A. a) What is the battery's internal resistance (in Ω)? b) What power (in W) is dissipated inside the battery? c) At what rate (in °C/min) will its temperature increase if its mass is 20.0 kg and it has a specific heat of 0.360 kcal/(kg · °C), assuming no heat escapes?
Chapter 25 Solutions
Physics for Scientists and Engineers
Ch. 25 - Prob. 1PCh. 25 - Prob. 2PCh. 25 - Prob. 3PCh. 25 - Prob. 4PCh. 25 - Prob. 5PCh. 25 - Prob. 6PCh. 25 - Prob. 7PCh. 25 - Prob. 8PCh. 25 - Prob. 9PCh. 25 - Prob. 10P
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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- If you were to design an electric heater using Nichrome wire as the heating element, what parameters of the wire could you vary to meet a specific power output such as 1 000 W?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_forwardIf the terminals of a battery with zero internal resistance are connected across two identical resistors in series, the total power delivered by the battery is 8.00 W. If the same battery is connected across the same resistors in parallel, what is the total power delivered by the battery? (a) 16.0 W (b) 32.0 W (c) 2.00 W (d) 4.00 W (e) none of those answersarrow_forward
- A child's electronic toy is supplied by three 1.58-V alkaline cells having internal resistances of 0.0200 inseries with a 1.53-V carbon-zinc dry cell having a 0.100- internal resistance. The load resistance is 10.0 . (a) Draw a circuit diagram of the toy and itsbatteries, (b) What current flows? (c) How much power is supplied to the load? (d) What is the internal resistance of the dry cell if it goes bad, resulting in only 0.500 W being supplied to the load?arrow_forwardA resistor with R1 = 25.0 Ω is connected to a battery that has negligible internal resistance and electrical energy is dissipated by R1 at a rate of 36.0 W. If a second resistor with R2 = 15.0 Ω is connected in series with R1, what is the total rate at which electrical energy is dissipated by the two resistors?arrow_forwardA 12.0-V emf automobile battery has a terminal voltage of 16.0 V when being charged by a current of 10.0 A. (a) What is the battery’s internal resistance? (b) What power is dissipatedinside the battery? (c) At what rate (in ºC/min ) will itstemperature increase if its mass is 20.0 kg and it has aspecific heat of 0.300 kcal/kg ⋅ ºC , assuming no heatescapes?arrow_forward
- A capacitor that is initially uncharged is ocnnected in series with a resistor and an emf source with ℰ = 110 V and negligible internal resistance. Just after the circuit is completed, the current through the resistor is 6.5 × 10−5 A. The time constant for the circuit is 5.2 s. What are the resistance of the resistor and the capacitance of the capacitor?arrow_forwardA wire of resistance 5.0 ohm is connected to a battery whose emf is 2.0 V and whose internal resistance is 1.0. In 2.0 min, how much energy is (a) transferred from chemical form in the battery, (b) dissipated as thermal energy in the wire, and (c) dissipated as thermal energy in the battery?arrow_forwardAn electronic device designed to operate at any temperature in the range from −10.0 °C to 55.0 °C contains pure carbon resistors. By what factor does their resistance increase over this range?arrow_forward
- A copper wire of resistance R = 24 Ω is connected to a source of voltage that increases with time asΔV(t) = V0(1 - e-αt),where V0 = 130 V and α = 0.62 s-1. P = V02/R ( 1 - e- α t )2 Calculate the energy dissipated by the resistor in joules during the first t = 1.75 s.arrow_forwardAt time t = 0, an RC circuit consists of a 19.5-V emf device, a 68.0-Ω resistor, and a 156.0-µF capacitor that is fully charged. The switch is thrown so that the capacitor begins to discharge. (a) What is the time constant ? of this circuit? s(b) How much charge is stored by the capacitor at t = 0.5?, 2?, and 4?? q(t = 0.5?) = µC q(t = 2?) = µC q(t = 4?) = µCarrow_forwardAn uncharged capacitor and a resistor are connected in seriesto a source of emf. If ε = 9.00 V, C = 20.0 µF, and R = 1.00 x102 Ω, find (a) the time constant of the circuit, (b) the maximumcharge on the capacitor, and (c) the charge on thecapacitor after one time constant.arrow_forward
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