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Q. Consider a pair of coupled coils as shown in Figure of the text, with currents, voltages, and polarity dots as indicated. Show that the mutual inductance is L12 = L21 = M by following these steps:
(a) Starting at time t0 with i1(t0) = i2(t0) = 0, maintain i2 = 0 and increase i1 until, at time t1, i1(t1) = I1 and i2(t1) = 0. Determine the energy accumulated during this time. Now maintaining i1 = I1, increase i2 until at time t2, i2(t2) = I2. Find the corresponding energy accumulated and the total energy stored at time t2.
(b) Repeat the process in the reverse order, allowing the currents to reach their ?nal values. Compare the expressions obtained for the total energy stored and obtain the desired result.
Figure shows two first-order triangular finite elements used to solve the Laplace equation for electrostatic potential. Find a local S-matrix for each triangle, and a global S-mat
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what is a resistor?
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Q. Determine the Thevenin resistance viewed from terminals A-B of the circuit of Figure by setting independent sources to be zero and applying a test voltage at terminals A-B.
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Explain the Power Chart The phasor diagram shown in Figure with the x and y axes added, as shown. This diagram may be converted to a 'power chart' by multiplying each phasor in
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