Question

Chapter 27, Problem 018 In the figure below, what is the potential difference Vd-V between points d and c if 81 = 4.6 V, 82 = 1.1 V, R1 = R2 = 13 ?, and R3-6.5 ?, and the batteries are ideal? F8 a + + C Number Units the tolerance is +/-590

Answer 1

The Kirchoff's current law gives

$i_1+i_3=i_2$

The Kirchoff's voltage law on the left loop gives

$4.6=13i_1-6.5i_3$

$1.1=-13i_2-6.5i_3=-13i_1-19.5i_3$

Solving these 2 equations gives

$i_1=0.2442\,A$

$i_3=-0.2192\,A$

$i_2=i_1+i_3= 0.025\,A$

Hence

$V_d-V_c=i_2 R_2=0.025\times 13= 0.325\,V$