Design a \"voltage divider\" that would provide one-sixth (1/6) of the battery v

Question

Design a "voltage divider" that would provide one-sixth (1/6) of the battery voltage across R2.

Part A

Select the appropriate circuit of the "voltage divider."

Part B

What is the ratio R1/R2?

MasteringPhysics: CH19-Untimed Quiz-Google Chrome https://session.masteringphysics.com/myct/itemView?assignmentProblemlD=5802 5996 PHY212 - General Physics 2 Help | Close Item 13 Resources « previous | 13 of 15 | next » Part A Item 13 Select the appropriate circuit of the voltage divider. Design a "voltage divider" that would provide one-sixth (1/6) of the battery voltage across R2 s Ra R1 R2 My Answers Give Up Part B What is the ratio R1/R2? Express your answer as an integer

Explanation / Answer

A) Lets take option first,

Applying the goloden rule of voltage divider,

V = I *R1 + I * R2...............(1)

So the voltage across resistor R1 is

V' = R1 * V / (R1+ R2)

V/6 =  R1 * V / (R1+ R2)

or, R1 + R2 = 6 R1

or, R2 = 5 R1

Now from eq (1),

V = I *R1 + I * 5R1 = 6 I * R1

or I * R1 = V /6

Hence the option (1) is correct.

B ) The ratio of R1 / R2 = 1 / 5

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