A metal bar of conductivity o is bent to form a flat 90° sector of inner radius a, outer radius b and thickness t as shown in the figure. Find a formula to find the resistance of the bar between the vertical ends located at O=0 and 0=n/2.
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- 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 =2. Page > of 3 5. Two long coaxial metal cylinders with radii a and b are separated by material of conductivity o (see figure below). The conductivity is not uniform and changes as = (s)0 where k is a constant. If the two cylinders are kept at a potential difference V, find the resistance R between the cylinders. (s)o Hint: Since the conductivity is a function of position, the charge density in the resistive medium is not zero and E does not go like 1/s. However, since the current I is steady, the same current flows across each eylindrical surface. Instead of using Gauss' Law, find E in terms of I, from Ohm's Law. acer F10 F11Suppose 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?mm
- Suppose you wish to fabricate a uniform wire from 2.50 g of copper. The wire is to have a resistance of R = 0.360 2 and all the copper is to be used. %3D (a) What must be the length of this wire? (b) What must be the diameter of this wire? pmA 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?
- A copper wire of radius a = 0.240 mm has an aluminum jacket of outer radius b = 0.329 mm. There is a current i = 1.57 A in the composite wire. Take the resistivity for copper and aluminum to be 1.69 × 10-8Ω·m and 2.75 × 10-8Ω·m. Calculate the current in (a) the copper and (b) the aluminum. (c) If a potential difference V = 13.1 V between the ends maintains the current, what is the length in meters of the composite wire?In a physics project, you need a wire to electrically heat a cryostat. You decide to create one with materials you have lying around. You find a 29.0-g piece of copper. The resistivity of copper is 1.68 x 10-8 Ω.m, and its density is 8.9 g/cm3. You will need to use all of your copper to create a solid cylindrical wire that has a total resistance of 0.75 Ω.Determine how long your wire will be, and what its diameter will be.Part (a) I measure the resistance of this wire and find it to be R = 156 Q. What is the resistivity of the material the wire is made out of? p= Problem 7: A particular wire has a length of L = 2.7 m and a circular cross-sectional area of radius r= 1.69 mm. G= sin() cos cotan() asin()) acotan() atan() cosh() tanh() I= sin()) cos() cotan() asin() sinh() atan() acotan cosh() tanh() cotanh() Degrees O Radians B Degrees O Radians Part (b) What is the conductivity of this wire, in inverse Ohms per meter? 0 tan()) π ( acos() E ^^^L sinh() cotanh() g L P Y d h m r tan() π acos() E ^^^^ π E 1 Part (c) Give an expression for the current density in the wire if an electric field E is passing through it. Write this in terms of the resistivity and the other variables in the problem. J= n R ( ^^^ sin() cos() cotan() asin() atan() acotan() cosh() + + 7 8 9 4 5 6 1 2 3 0 END NO BACKSPACE DEL CLEAR Part (d) Calculate the current in the wire, in milliamperes, if the field strength is 5.28 V/m. - END NO…