2.d. Explain the principle of electromagnetic induction in the motor's application.
2.d. Explain the principle of electromagnetic induction in the motor's application.
A. A three-phase ac induction motor drives a mechanical load. The motor's terminal voltage is 470V, 60 Hz. The motor's line current is 175 A, and the power factor is 0.85 lagging The motor's output power is 140 hp and the motor rotates at a speed of 1735 rpm. The motor's copper and core losses total 8.5 kW combined 1. Determine the number of poles of this motor 2. Determine the motor's shaft torque (N-m). 3. Determine the motor's rotational...
a) Transformers work by the Principle of Electromagnetic Induction. Briefly explain this to a layman. b) i. [2 marks] [1 mark] State the two (2) types of losses in a transformer and also state where in the [2 marks] State two (2) advantages of an auto-transformer over an ordinary [2 marks] State why DC voltages do not work in transformers. 11. transformer these losses can be found. 111. transformer. c) Explain briefly why electric power is transmitted at very high...
Use the Principle of mathematical induction to prove
2. Use the Principle of Mathematical Induction to prove: Lemma. Let n E N with n > 2, and let al, aa-.., an E Z all be nonzero. If gcd(ai ,aj) = 1 for all i fj, then gcd(aia2an-1,an)1. 1, a2,, an
Proofs using induction:
In
3for all n 2 0. n+11 Use the Principle of Mathematical Induction to prove that 1+3+9+27+3 Use the Principle of Mathematical Induction to prove that n3> n'+ 3 for all n 22
I. *Research and report on the origins of the Principle of Mathematical Induction.
I. *Research and report on the origins of the Principle of Mathematical Induction.
2. Use the Principle of Mathematical Induction to prove that 2 | (n? - n) for all n 2 0. [13 Marks]
Principle of Mathimatical Induction 3+2+1 to..tol-n) = n(7-n)
Lab: Electromagnetic Induction and Transformers 1) Rotate the coil in the elctric motor. Does the needle of the galvanometer move? Which direction? 2) Rotate the coil in the electric motor int he opposite direction. How does this affect the needle of the galvanometer? 3) Explain why the need deflects when the coil in the electric motor rotates?
i. (2nd Principle of Induction): Suppose that a1 = 2 and a2 = 4 and for n > 2, an = 5an-1 – 6an-2. Prove that for all n e N, an = 2". (This is easy. Show precisely where you need the 2nd Principle.)
Induction machine working principle is closest to the transformer at slip = _