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

question A battery with epsilon = 5.00 V and no internal resistance supplies cur

ID: 2276044 • Letter: Q

Question

question

A battery with epsilon = 5.00 V and no internal resistance supplies current to the circuit shown in the figure below. When the double-throw switch S is open as shown in the figure, the current in the battery is 1.00 mA. When the switch is closed in position a, the current in the battery is 1.24 mA. When the switch is closed in position b, the current in the battery is 1.82 mA. Find the resistance R1. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kohm Find the resistance R2. Find resistance R3.

Explanation / Answer

Ohm's Law : V=IR

Case1 - switch is open

Total Resistance = R1+R2+R3

V=I(R1+R2+R3)

5 = (1*10^-3)(R1+R2+R3).........................(1)

Case2 - switch in position a

Total Resistance = R1+0.5R2+R3

V = I(R1+0.5R2+R3)

5 = (1.24*10^-3)(R1+0.5R2+R3).................(2)

Case 3 -switch in position b

Total Resistance = R1+R2

V = I(R1+R2)

5 = (1.82*10^-3)(R1+R2)...........................(3)


Solve (1),(2) and (3) we get

R1 = 0.81 kohms

R2 = 1.94 kohms

R3 = 2.25 kohms