Asked by anonymous
                Consider the following circuit that contains a battery and six identical resistors:
The diagram has branch A with one resistor, connected to branch B with two resistors connected in parallel, and then branch B is connected to branch C with three resistors connected in parallel. The end of branch C is connected to a battery, and the end of branch A is connected to the opposite end of the battery.
Which resistor branch has the largest potential drop across it?
A
B
C
all the same
I'm thinking C just because each resistor has its own voltage drop and there are more resistors on branch C...is this right?
            
        The diagram has branch A with one resistor, connected to branch B with two resistors connected in parallel, and then branch B is connected to branch C with three resistors connected in parallel. The end of branch C is connected to a battery, and the end of branch A is connected to the opposite end of the battery.
Which resistor branch has the largest potential drop across it?
A
B
C
all the same
I'm thinking C just because each resistor has its own voltage drop and there are more resistors on branch C...is this right?
Answers
                    Answered by
            Damon
            
    The same amount of current goes through each branch
say i through branch A and therefore R
now in branch b we get i/2 through each, half the voltage drop at A
and in branch c we get i/3 through each so
1/3 the voltage drop at A
The more the paths for the current, the less the voltage drop
    
say i through branch A and therefore R
now in branch b we get i/2 through each, half the voltage drop at A
and in branch c we get i/3 through each so
1/3 the voltage drop at A
The more the paths for the current, the less the voltage drop
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