Homework Help: Electric Current Problem

Tags:
1. Nov 30, 2014

PBryan833

1. The problem statement, all variables and given/known data
Two 16 Ohm resistors connected in parallel are then connected in series to a 10 Ohm resistor. The entire setup is connected to a 9 V battery. What is the current through the 10 Ohm resistor?

2. Relevant equations
V=IR
I1+I2=It
1/Rt= 1/R1 + 1/R2

3. The attempt at a solution

So im not sure if i am correct. If the two 16 ohm resistors were connected parallel, then wouldnt their overall resistance be 8 ohm because 2(1/16)= 1/8 which 8 is Rtotal? Then after you find Rtotal you add it to the 10 ohm resistor to get a total resistance of 16 ohm. From this, you can solve using the equation V=IR. Plug in 9 for V and 16 for R and you end up getting I= 0.5 . Is this the correct answer and is my approach correct? Thanks for the help everyone!

2. Nov 30, 2014

haruspex

Right.
Wrong.

3. Nov 30, 2014

PBryan833

How do I get the overall resistance?

4. Nov 30, 2014

haruspex

By adding the resistances correctly. 8+10=?

5. Nov 30, 2014

PBryan833

Oh yes that is what I meant, bad addition. So is the rest of the way I used to solve this problem correct?

6. Nov 30, 2014

haruspex

Yes.

7. Nov 30, 2014

PBryan833

Thank you so much!