#
Resistor Combinations

### Parallel Combination:

**Solution:**

Once again by examination of the circuit, the voltage across
the 3 ohm resistor is seen to be 3 V. The presence of the 6 ohm
resistor does not effect the 3 ohm resistor, as configured
with the *ideal* battery shown.
Applying Ohm's law,

**I** = **V**/**R** = (3 V) / (3 ohm) = 1.0 A

The 6 ohm resistor is similarly unaffected by the 3 ohm resistor;
its current is the same as before, 0.5 A.

The current in the battery is the sum of the currents flowing in the
two resistors; it provides 0.5 A for the 6 ohm resistor and 1.0 A for
the 3 ohm resistor for a total of 1.5 A.

Note that the current through the 3 ohm resistor is twice that of the
6 ohm resistor; that branch has half the resistance.

**Answer:**

A current of 0.5 A flows in the 6 ohm resistor, as before.

A current of 1.0 A flows in the 3 ohm resistor.

A current of 1.5 A flows in the battery, the sum of the currents
above.

Back to circuit notes.

Comments, suggestions, or requests to ghw@udel.edu.
"http://www.physics.udel.edu/~watson/scen103/circ2sol.html"

Last updated Jan. 7, 1998.

Copyright George Watson, Univ. of Delaware, 1996.