A thin sheet of copper is bent into an infinitely long double cylinder as shown in cross section. Calculate the inductance per unit length of the double cylinder, assume d→0. Answer:... 4
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- An electromagnet can be modeled as an inductor in series with a resistor. Consider a large electromagnet of inductance L = 12.5 H and resistance R = 7.50 connected to a 18.0-V battery and switch as in the figure shown below. After the switch is closed, find the following. S E + 'I R (a) the maximum current carried by the electromagnet A (b) the time constant of the circuit S (c) the time it takes the current to reach 95.0% of its maximum value SPlease box answersAn inductor with L = 2.5 H is in a closed circuit with I= 0.45 A (see the diagram). When the switch is opened, the current goes to zero in At = 0.18 s. L = 2.5 H I= 0.45 A At = 0.18 s (a) Express the magnitude of the average induced emf on the inductor, &are, in terms of L, I and At. I
- A coil of Nc =40 turns and radius 0.5 m surrounds a long solenoid of radius 0.1 m and n=800 turns per meter in Figure. The current in the solenoid changes as ?0 = 4? −3? . (a) Find the induced emf in the coil as a function of time. (b) Find the mutual-inductance of solenoid.Experimentally, the magnetic flux Og in a solenoid was 4. measured for various currents I. The data was recorded in the table and plotted in the graph. The best fit line through the data was also drawn. Current Magnetic flux (A) (Wb) 0.750 1.00 1.75 2.00 2.50 3.25 What is the inductance of the solenoid? Current (A) inductance: H Magnetic flux (Wb)In your own words, explain why the presence of a ferromagnetic core increases the inductance of a coil. Calculate the inductance of a coil wound on a ferromagnetic cylinder of 2 mm diameter and 10 mm length. There are 200 turns on the coil and the relative permeability of the core is 600. How does a real inductor differ from an ideal component?
- (a) A coil of conducting wire carries a current of i(t) = 16.0 sin(1.20 x 10³t), where i is in amperes and t is in seconds. A second coil is placed in close proximity to the first, and the mutual inductance of the coils is 160 pH. What is the peak emf (in V) in the second coil? V (b) What If? Which would lead to a larger peak emf in the second coil, a doubling of the mutual inductance or a doubling of the frequency with which the current in the first coil changes? O Doubling the mutual inductance would lead to a larger peak emf. O Doubling the frequency with which the current in the first coil changes would lead to a larger peak emf. O The two changes would each have the same effect.No AI and type pleaseAn electrical engineer designed an RL circuit similar to the one shown in the figure, with E = 6.00 V, L = 2.00 mH, and R = 3.40 N. L R (a) What is the inductive time constant of the circuit (in ms)? 0.588 ms (b) Calculate the current in the circuit (in A) 250 µs after the switch is closed. 0.61 A (c) What is the value of the final steady-state current (in A)? 0.98 Apply Ohm's law. A (d) After what time interval (in ms) does the current reach 80.0% of its maximum value? 1.17 1o[1 - exp(- ). with i = 0.800I,: Use your value from part (c) for I, and the inductive Apply the equation for the current as a function of time in an RL circuit, i = I, time constant found in part (a). ms Need Help? Read It ll