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

Consider the three resistors R_1 = 16 ohm, R_2 = 29 ohm, and R_3 = 79 ohm in the

ID: 1526824 • Letter: C

Question

Consider the three resistors R_1 = 16 ohm, R_2 = 29 ohm, and R_3 = 79 ohm in the configuration shown in the figure. A potential difference Delta V = 1.5 V is applied between A and B. Express the equivalent resistance R_e of the combination of R_2 and R_3 in terms of R_2 and R_3. Express the total resistance R off the combination of all three resistors in terms of R_1, R_2 and R_3. Calculate the numerical value of the total resistance R in ohm. Express the current I on R_1 in terms of the potential difference Delta V between A and B and the equivalent resistance R. Calculate the numerical value of I in A. Express the voltage across R_2, Delta V_2, in terms of Delta V, I, and R_1. Express the current I_2 through R_2 in terms of Delta V_2 and R_2. Calculate the numerical value of I_2 in A. Calculate the numerical value of I_3 through R_3.

Explanation / Answer

a] Re = R2*R3/[R2+R3]

B] R = R1+ R2*R3/[R2+R3]

C] R = 16+29*79/[29+79] = 37.2 ohm

D] i = delta V / R