Parallel/series, calculate current drawn

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R1 and R4 are in parallel. I=V/R=10V/69000 Ohm = 0.0001449275 A In summary, to find the current drawn in this circuit, we can simplify the middle section into two resistors in series, resulting in two parallel branches. The current is then calculated using the equation I=V/R, with a total resistance of 69,375.5 ohms, resulting in a current of 0.0001449275 A.
  • #1
mikefitz
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Homework Statement


http://img267.imageshack.us/img267/8159/untitled3ct1.gif

Find the current drawn.

Homework Equations



V=IR
R1+R2+Rn
1/ (1/R1)+(1/R2)+(1/R3)+(1/R4)

The Attempt at a Solution



R1=20,000ohms
R2=70,000ohms
R3=96,7000ohms
R4=40,000ohms

1/ (1/R1)+(1/R2)+(1/R3)+(1/R4) = 10037.44

10=I(10037.44)
I=.000996A

Where did I go wrong?
 
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  • #2
Think of the two 30Kohm resistors as being in parallel. Also, think of the 40 and 66.7 kohm resistors as being in parallel. Now, you have simplified that whole middle section into two resistors in series. you can go from here.
 
  • #3
Simple error, the 30K resistors are in parallel, as are the 40K and 66.7. These in turn are in series and that resultant in parallel with the other two branches.
 
  • #4
r1=20,000
r2=15,000
r3=25,004.7
r4=40,000

r2&r3 in parallel= 9,375.5

20,000+9,375.7+40,000=69,375.5

10=I(69,375.7)

I=.000144A ??
 
  • #5
Almost R2 and R3 are in series.
 

1. What is the difference between parallel and series circuits?

In a parallel circuit, the components are connected in separate branches, and the current is divided among them. In a series circuit, the components are connected in a single loop, and the current is the same throughout.

2. How do you calculate total current in a parallel circuit?

To calculate total current in a parallel circuit, you need to add up the individual currents of each branch. This is because the current is divided among branches in a parallel circuit.

3. How do you calculate total current in a series circuit?

In a series circuit, the total current is equal to the current of any one component. This is because the current is the same throughout a series circuit.

4. How do you calculate the current drawn by a specific component in a parallel circuit?

To calculate the current drawn by a specific component in a parallel circuit, you need to use Ohm's Law (I = V/R) where I is the current, V is the voltage, and R is the resistance of the component.

5. What happens to the total current in a parallel circuit if one component fails?

If one component fails in a parallel circuit, the total current will decrease. This is because the current will only flow through the remaining components, and the overall resistance of the circuit will increase.

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