Assume component values are known to three (3) significant figures. Perform a DC

Question

Assume component values are known to three (3) significant figures. Perform a DC analysis.

The circuit is connected to an external DC power system at points a and f.

Suppose you use a voltmeter to measure the voltage between nodes e and f, and the value is Vef= +8.00 V.

c) What is the total voltage drop (in V) between the terminals a and f ?

d) What is the power (in W) dissipated in resistor R6?

Explanation / Answer

Raf= R1+(R3||(R2+R4+R5) + R6||R7) =5+(3||(2+1+6))+(4||8) = 5+9/4 + 8/3 Ohm=9.91 Current = Vaf/Raf voltage drop between e and f = i* Ref = (Vaf/Raf) * (R6||R7)=8 => Vaf= 8*9.91/(8/3)=29.73V current through R6= i* (R7/(R7+R6))= (29.73/9.91)*(8/12)=1.98A (Current is sharedi in the inverse ratio of resistances, when they are in parallel) Power dissipated in R6= IR6^2 * R6 = 1.98^2*4=15.74W

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