A potential difference of 11 V is found to produce a current of 0.42 A in a 2.8 m length of wire with a uniform radius of 0.42 cm. Find the following values for the wire. (a) the resistance (in Ω) Ω (b) the resistivity (in Ω · m) Ω · m
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- Figure a shows a rod of resistive material. The resistance per unit length of the rod increases in the positive direction of the X axis. At any position x along the rod, the resistance dR of a narrow- differential-section of width dx is given by dR = 5.00xdx, where dR is in ohms and is in meters. Figure b shows such a narrow section. You are to slice off a length of the rod between X = O and some position = L and then connect that length to a battery with potential difference V = 5.0V (Fig. c). You want the current in the length to transfer energy to thermal energy at the rate of 6.2 W. At what position x = L in meters should you cut the rod? Keep 2 decimla points in your aanswer. dx 1.0 -x (m)Pure copper has a resistivity of 1.68 × 10−8 Ωm. Some accurate cubes of copper are prepared,and electrical measurements are made, for which current is passed across a pair of oppositefaces.a) Comparing a 2.5 cm cube and a 5 cm cube, which will have the higher conductance? Explain your answer.b) Given eight 1 cm cubes, how can they be stacked to get the highest and the lowest resistance between opposite faces of the stack? Calculate the resistance of each stack.What length of gold wire, of radius 0.27 mm, is needed to make a 15.5 Ω resistor, if the resistivity of gold is 2.44×10-8 Ω·m? The length, L =
- A person notices a mild shock if the current along a path through the thumb and index finger exceeds 78 µA. Compare the maximum possible voltage without shock across the thumb and index finger with a dry-skin resistance of 3.0 ✕ 105 and a wet-skin resistance of 2000 . dry skin V wet skin VSuppose you wish to fabricate a uniform wire out of 1.20 g of copper. If the wire is to have a resistance R = 0.690 Ω, and if all the copper is to be used, find the following. (a) What will be the length of the wire?m(b) What will be the diameter of the wire?mmA silver wire has a resistance of 2.00 Ω at 34.0°C. Determine its resistance (in Ω) at 434°C. The temperature coefficient of resistivity for silver wire is 3.80 ✕ 10−3 (°C)−1. (Assume that the temperature coefficient of resistivity was measured using the reference temperature 20°C.)
- A copper wire of radius a = 0.172 mm has an aluminum jacket of outer radius b = 0.231 mm. There is a current i = 1.58 A in the composite wire. Take the resistivity for copper and aluminum to be 1.69 × 10*Q-m and 2.75 × 10-°2-m. Calculate the current in (a) the copper and (b) the aluminum. (c) If a potential difference V = 10.4 V between the ends maintains the current, what is the length in meters of the composite wire? (a) Number i Units (b) Number i Units (c) Number i UnitsA digital thermometer employs a thermistor as the temperature-sensing element. A thermistor is a kind of semiconductor and has a large negative temperature coefficient of resistivity α. Suppose α = -0.0503 (Co)-1 for the thermistor in a digital thermometer used to measure the temperature of a patient. The resistance of the thermistor decreases to 87.6% of its value at the normal body temperature of 37.0 oC. What is the patient's temperature?The resistivity of blood is related to its hematocrit, the volume fraction of red blood cells in the blood. A commonly used equation relating the hematocrit h the blood resistivity ρ (in Ω⋅m) is ρ=1.32/(1−h)−0.79. In one experiment, blood filled a graduated cylinder with an inner diameter of 0.90 cm. The resistance of the blood between the 1.0 cm and 2.0 cm marks of the cylinder was measured to be 210 Ω. What was the hematocrit for this blood?