Two coils are at fixed locations. When coil 1 has no current and the current in coil 2 increases at the rate 18.3 A/s, the emf in coil 1 is 26.6 mV. (a) What is their mutual inductance? (b) When coil 2 has no current and coil 1 has a current of 6.50 A, what is the flux linkage in coil 2? (a) Number i (b) Number i Units Units
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- 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?Two coils are placed close to each other and have a mutual inductance of 150 µH. The current through one coil is given by, I(t)=5sin(1000t). Estimate the time when the emf will be maximum on the second coil.(a) If an inductor carrying a 1.95 A current stores an energy of 0.250 mJ, what is its inductance? Answer in mH (b) How much energy does the same inductor store if it carries a 3.1 A current? Answer in mJ
- Two coils have a mutual inductance M = 0.0311 H, while the first coil has self- inductance L₁ = 0.0251 H. If the current through the first coil is changing at a rate di₁/dt = 2.32 A/s and the current through the second coil is changing at a rate di2/dt = 4.09 A/s, what is the magnitude of the EMF in the first loop? V IN(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.(a) If an inductor carrying a 1.45 A current stores an energy of 0.250 mJ, what is its inductance? mH(b) How much energy does the same inductor store if it carries a 2.8 A current? mJ
- A resistor and inductor are connected to a 9.0 V battery by a switch as shown. The moment the switch is closed, current flows through the circuit. The resistor has a resistance of R = 220 N and the inductor has an inductance of L= 135 mH. (a) At time t = 0 the switch is closed and current flows through the circuit. The current increases with time and eventually reaches a steady state value of imax- Calculate the maximum current imox in units of milliamps. (b) Calculate the time constant, T, of the circuit, in seconds. (c) Write an equation that relates the current as a function of time i(t) to the maximum current, imox Express the equation in terms of imox and a, where a= -t/T.Two coils are at fixed locations. When coil 1 has no current and the current in coil 2 increases at the rate 18.1 A/s, the emf in coil 1 is 25.6 mV. (a) What is their mutual inductance? (b) When coil 2 has no current and coil 1 has a current of 6.10 A, what is the flux linkage in coil 2?