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

As shown in the figure, a circuit consists of an emf source with V = 20. 0 V and

ID: 1898608 • Letter: A

Question

As shown in the figure, a circuit consists of an emf source with V = 20. 0 V and six resistors. Resistors R1 = 4. 21 ohm and R2 = 10. 7 ohm are connected in series. Resistors R3 = 5. 78 ohm and R4 = 5. 78 ohm are connected in parallel and are also in series with R1 and R2. Resistors R5 = 1. 11 ohm and R6 = 1. 11 ohm are connected in parallel and are also in series with R1 and R2. Part 1 out of 2 What is the potential drop across each resistor? Delta V1 = V Delta V2 = V Delta V3 = V Delta V4 = V Delta V5 = V Delta V6 = V Part 2 out of 2 How much current flows through each resistor? i1 = A i2 = A i3 = A i4 = A i5 = A i6 = A

Explanation / Answer

total resistance = 4.21 + 10.7 + 5.78/2 + 1.11/2 = 18.355 O total current I = 20.0/18.355 = 1.0896 A V1 = I*R1 = 4.5872 V V2 = I*R2 = 11.659 V V3 = I/2 * R3 = 3.1489 V V4 = I/2 * R4 = 3.1489 V V5 = I/2 * R5 = 0.6047 V V6 = I/2 * R6 = 0.6047 V