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531

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267

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5

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1884

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543

1. A 380 / 220 V r.m.s. 3-phase 4-wire circuit carries loads of 8 + j8.1 ohm; 4 + j4.1 ohm; and 2 +j2.1 ohmin the three phases respectively. The length of the circuit is 100 m, and the resistivity of the phase conductors is 0.0005 Ω/m. The neutral conductor is of the same size as the phase conductors. a) Select a reference angle 0for the first phase. Then write down the three phase voltages in both polar format and complex number format. b) Make appropriate assumptions, and take temperature effects on resistance is insignificant. Calculate the currents in the three phases. (Note: Determine conductor resistance, and apply Kirchhoff’s Voltage Law) Based on the result, suggest a main switch rating for the circuit. c) Show your preferred direction of neutral current in a diagram, and then determine its value. (Note: Apply superposition principle, and Kirchhoff’s Current Law) Use its magnitude to show that in this circuit, the unbalanced load may increase the voltage drop in some of the phases. (Note: Also observe the common volt drip in neutral) State your assumptions, if there are any. d) Suddenly the neutral wire of the circuit is broken. Estimate the new currents in the first phase, i.e. Phase L1. State your assumptions, if there are any.

1488

A prime number is a number which is divisible only by itself and 1. Examples of the first few primes are 2, 3, 5, 7, 11. Consider writing a program which can generate prime numbers for you. Your program should read in and set a maximum prime to generate and a minimum number to start with when looking for primes. This program should be able to perform the following tasks: 1. Read the maximum number from user (keyboard input) to look for primes. The program should not return any primes greater than this number. 2. Read the minimum number from user (keyboard input) to look for primes. The program should not return any primes less than this number. 3. Generate and print out every prime number between the maximum prime and minimum number specified by the user.

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