How Do You Calculate Current in Different Parts of a Circuit?

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To calculate the current supplied by the battery in the circuit, the total resistance must be determined by combining resistors in series and parallel. The attempt to find the total resistance using the formula for resistors in parallel was incorrect, leading to an inaccurate current calculation. The correct approach involves first calculating the effective resistance of the parallel section before adding it to the series resistance. Understanding how current divides in parallel circuits is crucial for determining the current through individual resistors. Accurate calculations depend on correctly applying the principles of series and parallel resistance combinations.
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1. In the circuit of the figure, find the current supplied by the battery.

2. Find the current through the 6\Omega resistor.


Attempt at a solution:

To find the total current supplied by the battery I tried:

\frac{6*4*2}{6+4+2} = 4\Omega

Then I did that resistance in series with the other:

4 + 1 = 5\Omega

Then I figured to find the current I would use I=\frac{V}{R} giving I=\frac{6}{5}. But 6/5 is not the answer for part A apparently. And I have no idea how to get part B.
 
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To find the total current in the circuit provided by the battery, you need the total resistance. Have you learned the equations for combining resistors in series/parallel? You use that to determine the total effective resistance for the parallel section if it was replaced by a single resistor in series. Then combine that value with the 1ohm one in series.

To find the current through a resistor in parallel, you need to know how current is split in parallel circuits.
 

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