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EQ Archive

 

Test Your EQ — Issue #162

Each month, Test Your EQ presents some basic engineering problems for you to test your Engineering Quotient. What's your EQ?


A designer was given the following requirements for an interface circuit for a piece of marine electronics equipment.The equipment has a digital input that is meant to accept 0- to 5-V signals. It consists of a 1000-W resistor in series with the LED of an optoisolator. The anode of the LED is connected to ground.

The interface circuit must accept an input voltage that swings between 0 and 12 V or 0 and 24 V nominally, depending on whether the boat has a 12- or 24-V (negative ground) electrical system. This input might come from a simple mechanical switch tied to the positive terminal of the boat battery. However, the boat’s electrical system can go as high as 30 V when the battery charger is operating, and brief surges to ±200 V can occur as well. Also, the circuit might be hooked up backwards by inexperienced personnel, so continuous inputs of up to –30 V might be applied. A 5-V power supply is available from the equipment.

The designer came up with the following circuit. VTH is a 3-V rail supplied by a small three-terminal regulator running off of the 5-V supply. Let’s discuss some key points relating to this design.

 

Problem 1—Assume that VBE for both transistors is 0.7 V and VCE(sat) is 0.4 V. How much current gain is required in Q1 and Q2?

Answer

Problem 2—At what input voltage does the output switch?

Answer


Problem 3—
Why is R2 required? What about R5?

Answer

Problem 4—What is the purpose of C1? Of D1?

Answer

Problem 5—The SWR required to maintain a healthy transmitter should be less than what value?

Answer

Problem 6—Traveling on the perimeter of the SWR circle of a Smith chart is equivalent to what?

Answer

Problem 7—The intersection of the SWR circle on the right-hand side of the one and only straight line on the Smith chart gives the value of what?

Answer

Problem 8—Suppose you have to convert the digit displayed by a seven-segment display driver back to its binary equivalent. Prove logically that five connections must be made to the driver chip. The digit display patterns are:

Answer

Published January 2004
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