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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 mutualinductance 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 final values. Compare the expressions obtained for the total energy stored and obtain the desired result.
The creation of a magnetic field in a ring may need to be accessed by means of an air gap. This is typically used to apply the magnetic field to a current carrying conductor to pro
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2's Complement Multiplication Two's complement multiplication follows the similar rules as binary multiplication. For illustration, (-4) × 4 = (-16) 1111
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