6.7 Force sensor. A force sensor is made of a strip of steel with cross-sectional area of a = 40 mm by b= 10 mm with a platinum, 350 2 strain gauge (nominal, unstressed resistance) bonded to one surface, as shown in Figure 6.46. The sensor is intended for use as a compression force sensor. a. Given the modulus of elasticity of 200 GPa, calculate the range of resistance of the sensor if it cannot exceed a strain of 3%. What is the range of forces that can be applied? b. Calculate the sensitivity of the sensor assuming it is prestressed to 3%. F ce R. 350 2
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- 27.10The resistance in a certain wire is R = 50.0+ 0.06072. If 7 is measured to be 50.3°F with a possible error of ±3°F, use differentials to find the approximate maximum error (in (2) and percentage error in R. (Round your answers to two decimal places.) maximum error percentage error Ω %The current in a simple single resistor (of resistance R1) circuit is I1 = 5.1 A. A second resistor, R2 = 97 Ω, is added to the first in parallel and the current through the battery increases to I2 = 8.6 A. Input an expression for the resistance of R1.
- 1. 9. In the circuit shown in the figure above, a power supplier of 50 V is connectedacross a resistance network. If R1 = 20 Ω, R2 = 10 Ω, R3 = 10 Ω, and R4 = 40 Ω. Whatis the equivalent resistor of the circuit? 2. 10. What is the current flowing through the R4 resistor in the circuit shown in Problem 9? 3. 11. What is the voltage across the R1 resistor in the circuit shown in Problem 9? 3.33. Parts (a) through (e) of this problem should be done by inspection-that is, mentally. The intent is to obtain an approximate solution without a lengthy series of calcula- tions. For the network in Fig. 102: a. What is the approximate value of I1, considering the magnitude of the parallel elements? b. What is the ratio I¡/I2? Based on the result of part (a), what is an approximate value of 12? c. What is the ratio I/I3? Based on the result, what is an approximate value of I3? d. What is the ratio I/I4? Based on the result, what is an approximate value of I4? e. What is the effect of the parallel 100 kN resistor on the above calculations? How much smaller will the current I4 be than the current I¡? f. Calculate the current through the 1 2 resistor using the current divider rule. How does it compare to the result of part (a)? g. Calculate the current through the 10 2 resistor. How does it compare to the result of part (b)? h. Calculate the current through the 1 kn resistor. How does…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)
- = 1. The figure to the right shows a circular pipe filled with water (density of water is pwater 1000). The radius of the pipe at point 1 is r₁ 0.445 m and the velocity of the water at point 1 is v₁ = 4.50. The radius of the pipe at point 2 is r2 = 1 m. The pump has an energy density of 32, 000. The current of the pipe is measured to be I = 2.8m³ and the pipe has resistance R= 600 kg S m4s. a) A2 If we are on Earth (g = 10m2), what is the velocity at point 2 (v₂)? If AP = 20, 000 Pa between points 1 and 2, what is the change in height (Ay)? b) If we do this experiment on the Moon (g = 1.6m2), but measure the current and resistance to be the same as in part a, what is AP?A capacitor that is initially uncharged is connected in series with a resistor and a 400.0 V emf source with negligible internal resistance. Just after the circuit is completed, the current through the resistor is 0.800 mA and the time constant for the circuit is 6.00 s. ▼ Part A What is the resistance of the resistor? Express your answer with the appropriate units. R = Submit Part B C = Value Submit What is the capacitance of the capacitor? Express your answer with the appropriate units. Request Answer 0 Value Units Request Answer Units ? ?A toaster oven is rated at 1900 WW for operation at 120 VV, 60 HzHz. Part A What is the resistance of the oven heater element? Express your answer with the appropriate units. Part B What is the peak current through it? Express your answer with the appropriate units. Part C What is the peak power dissipated by the oven? Express your answer with the appropriate units.
- Problem 3: Show how to calculate the noise figure (NF2) for a particular circuit fed from a source with internal resistance Rs2 knowing its noise figure (NF1) when it is fed from a source with internal resistance Rs1. In your solution sketch the system as usual.Consider the following circuit diagram. The potential difference across the battery is 40.0 volts, and it supplies a current of 5.00 amperes to the circuit. There is a current of of 2.70 amperes flowing through R1. Resistor R2 has a resistance of 5.50 ohms. What is the resistance of R3? Answer in ohms to two decimal places, but do not include units in your answer.A student set up the circuit shown for her electronics class. Assuming Ɛ = 7.60 V and R = 4.70 Q, find the following quantities. 12.0 V + 4.00 Ω b 2.00 Ω ww a w R ε (a) the current in the 2.00 2 resistor (Enter the magnitude in mA.) Redraw the circuit, labeling currents, and apply Kirchhoff's rules to determine equations in terms of the given values. Solve your equations for the current in the 2.00-Q resistor. mA (b) the potential difference (in V) between points a and b Vb-Va = Apply Ohm's law and your result from part (a) to calculate your answer. It might help to redraw the circuit so that points a and b are clearly defined junctions. V Need Help? Read It