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.

a) What is the current (in A) in resistor R6?

b) What is the current (in A) in resistor R4?

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) Current in R4=IR4= IR5=IR2 The current is shared in the inverse ratio or R3 and (R2+R4+R5) so current through R4= ( R3/(R3+R2+R4+R5)) * i =(3/2+3+1+6)*(29.73/9.91) =0.75A

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.