Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Because of bad picture quality: Va->b = 3V Vb->c = -2V Vbattery = 6V What are th

ID: 1589381 • Letter: B

Question

Because of bad picture quality:

Va->b = 3V

Vb->c = -2V

Vbattery = 6V

What are the values of the following volatages?

Vb->d = ?

Vc->d = ?

In the circuit below, a voltmeter (ideal) is used to measure the potential difference across various resistors that are not the same. The following values are found: (Recall that V_x rightarrow Y means V_x-V_Y Another way to think of it is that the red (+) lead is connected to node X and the black (-) is connected to node Y.) What are the values of the following voltages?

Explanation / Answer

i'm using small notation for given points

Vbattery = Vad = 6v , Vab = 3v , Vbc= -2v

since Vad = Vab + Vbd

=> (1) Vbd =Vad - Vab = 6 - 3 = 3 v

(2) let's suppose point d is at ground potential

Vd = 0 v => Vb = +3v because Vbd = 3v

since Vbc = -2v = Vb -Vc

=> Vc = Vb +2 = +5v

=> Vcd = Vc - Vd = 5 - 0 = +5 v

(3) Vad = Vac +Vcd

=> Vac = Vad - Vcd = 6 - 5 =+1v