I need help with circuits please.?

Figure 1: https://session.masteringphysics.com/problemAsset/…

Answer 1

Assume a clockwise current i. Apply KVL clockwise starting at a
-6i – 0.5i -4 – 9i + 8 -0.5i – 8i = 0
Collecting terms and re-arranging:
4 = 24i —–> i = 1/6 A
A) What is the potential difference Vad in the circuit of the figure?
Va + 8i + 0.5i -8 = Vd —–> Va-Vd = Vad = -8* 1/6 – 0.5 * 1/6 +8 = +79/12
Vad = +79/12 V = 6.58 V<----- A) B) What is the terminal voltage of the 4.00-V battery? Vb - 4 - 1/6 *0.5 = Vc ----->
Vb-Vc = Vbc = 4+1/6 * 0.5 = 49/12 V = 4.08V <----- B) C) A battery with emf 10.30 V and internal resistance 0.50 Ω is inserted in the circuit at d, with its negative terminal connected to the negative terminal of the 8.00-V battery. -6i - 0.5i -4 - 9i -0.5i -10.3 + 8 -0.5i - 8i = 0 i = - 9/35 A so it is counterclockwise +9/35 A What is the difference of potential Vbc between the terminals of the 4.00-V battery now? Vb +0.5*(9/35) - 4 = Vc Vb - Vc = Vbc = 4 - 0.5*(9/35) = 271/70 V = 3.87V <----- C)

Answer 2

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