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- Check Your Understanding Circuit breakers in a home are rated in amperes, normally in a range from 10 amps to 30 amps, and are used to protect the residents from harm and their appliances from damage due to large currents. A single 15-amp circuit breaker may be used to protect several outlets in the living room, whereas a single 20-amp circuit breaker may be used to protect the refrigerator in the kitchen. What can you deduce from this about current used by the various appliances?What current flows through a 2.54-cm-diameter rod of pure silicon that is 20.0 cm long, when 1,00 103 V is applied to it? (Such a rod may be used to make nuclear-particle detectors, for example.)Integrated Concepts (a) An immersion heater utilizing 120 V can raise the temperature of a 1.00 102 -g aluminum cup containing 350 g of water from 20.0°C to 95.0°C in 2.00 min. Find its resistance, assuming it is constant during the process. (b) A lower resistance would shorten the heating time. Discuss the practical limits to speeding the heating by lowering the resistance.
- Integrated Concepts Use the ECG in Figure 20.34 to determine the heart rate in beats per minute assuming a constant time between beats. Figure 20.34 A lead II ECG with corresponding arterial blood pressure. The QRS complex is created by the depolarization and contraction of the ventricles and is followed shortly by the maximum or systolic blood pressure. See text for further description.How does the resistance for copper and for silicon change with temperature? Why are the behaviors of these two materials different?Foolishly trying to fish a burning piece of bread from a toaster with a metal butter knife, a man conies into contact with 120-V AC. He does not even feel it since, luckily, he is wearing rubber-soled shoes. What is the minimum resistance of the path the current follows through the person?
- Integrated Concepts A short circuit to the grounded metal case of an appliance occurs as shown in Figure 23.60. The person touching the case is wet and only has a 3.00 k(resistance to earth/ground. (a) What is the voltage on the case if 5.00 mA flows through the person? (b) What is the current in the short circuit if the resistance of the earth/ground wire is 0.200 ? (c) Will this trigger the 20.0 A circuit breaker supplying the appliance? Figure 23.60 A person can be shocked even when the case of an appliance is grounded. The large short circuit current produces a voltage on the case of the appliance, since the resistance of the earth/ground wire is not zero.The power goes out in your dorm. You want to run a spaceheater that uses 1500 Watts of power at a voltage of 120 V, so you run a 100 m long 14 gauge copper wire (d = 1.63 mm) to your friend's dorm room, which has not lost power. What effect will the added resistance of the wire have on the power that can be delivered to the spaceheater? (Calculate the power delivered to the space heater.) If your friend has to pay for their electricity at 11 cents per kilowatt hour, calculate how much you would have to pay them if you leave the spaceheater running for 14 hours. Your friend reminds you to include the power dissipated in the cord.26- If the ratio of current intensities passing over X and Y conductors connected in parallel as in the figure is Ix/Iy = 2, and the ratio of resistivity is px/py =1/4, what is the ratio of cross-section radii rx/ry?
- 19. In her bathroom, Mindy has an overhead heater that consists of a coiled wire made of nichrome that gets hot when turned on. The wire has a length of 3.30 m when it is uncoiled. The heating element is attached to the normal 120-V wiring, and when the wire is glowing red hot, it has a temperature of about 420°C and dissipates 2293 W of power. Nichrome has a resistivity of 108 × 10−8 Ω·m at 20°C and a temperature coefficient of resistivity of 0.00040°C−1. When the heater is first turned on, it has not yet heated up, so it is operating at 20°C. What is the current through the wire when it is first turned on? _____ A4. In an ECG, if the potential between the Right and left arm leads is 0.8 mV, and the potential between left leg/left foot and left arm leads is 1.2 mV, what is the potential between right arm and left leg/left foot in mV?1) Gold is the most ductile of all metals. For example, 1 gram of gold can be drawn into a wire 2.4 km long. The density of gold is 19.3 x 103 kg/m3, and its resistivity is 2.44 x 10-8 Vm. What is the resistance of such a wire at 20.0°C? 6,239 Ω 1,130 Ω 2,712 Ω 2,712,499 Ω 2) At 20°C, the carbon resistor in an electric circuit connected to a 5-V battery has a resistance of 2 Ohms. What is the current in the circuit when the temperature of the carbon rises to 80°C? 0.026 A 0.08 A 0.039 A 0.062 A