The figure at right shows five identical resistors. A battery is first connected

Question

The figure at right shows five identical resistors. A battery is

first connected across points F and H. Later, the battery is removed and

connected across points F and G. It may help to redraw the two cases with

the battery in place. Remember that you can lengthen and bend any of the

ideal wires to rearrange the appearance of the circuit, as long as you do not

alter the locations of the junctions.

a) Rank the current through the resistors when the battery is connected

across points F and H, greatest first. Briefly explain your reasoning.

b)Rank the current through the resistors when the battery is connected across points F and G, greatest

first. Briefly explain your reasoning.

c)In which case is the current through resisitor

The figure at right shows five identical resistors. A battery is first connected across points F and H. Later, the battery is removed and connected across points F and G. It may help to redraw the two cases with the battery in place. Remember that you can lengthen and bend any of the ideal wires to rearrange the appearance of the circuit, as long as you do not alter the locations of the junctions. Rank the current through the resistors when the battery is connected across points F and H, greatest first. Briefly explain your reasoning. Rank the current through the resistors when the battery is connected across points F and G, greatest first. Briefly explain your reasoning. In which case is the current through resistor "3" greatest; when the battery is across F and H or when it is across F and G? Briefly explain your reasoning.

Explanation / Answer

a)

R3 >R1=R2=R3=R4 since

I1 =I2 =V/2R =0.5(V/R)

|3 =(V/R)

I4 =I5 =(V/2R) =0.5(V/R)

b)

R4>R5>R3>R1=R2

c)

current in first case is greater than second case

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