Question 1.28: A 9 V power supply is to be tested with a 39 Ω load resistor......

A 9  \mathrm{V} power supply is to be tested with a 39  \Omega load resistor. If the resistor has a tolerance of 10 \% find:

(a) the nominal current taken from the supply;

(b) the maximum and minimum values of supply current at either end of the tolerance range for the resistor.

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(a) If a resistor of exactly 39  \Omega is used the current will be:

I=V / R=9  \mathrm{V} / 39  \Omega=231 \mathrm{~mA}

(b) The lowest value of resistance would be (39  \Omega-3.9  \Omega)=35.1  \Omega. In which case the current would be:

I=V / R=9 \mathrm{~V} / 35.1  \Omega=256.4 \mathrm{~mA}

At the other extreme, the highest value would be (39  \Omega+3.9  \Omega)=42.9  \Omega. In this case, the current would be:

I=V / R=9 \mathrm{~V} / 42.9  \Omega=209.8 \mathrm{~mA}

The maximum and minimum values of supply current will thus be 256.4 \mathrm{~mA} and 209.8 \mathrm{~mA}, respectively.

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