Electricity Question?

Question

Say I have a simple circuit with a battery and a resistor A. If I expanded this circuit by putting two new resistors together, in series from Resistor A, Would I no longer have current in resistor A? (All resistors are the same value)

Answer 1

If all resistors are in series or parallel for that matter they would have current.

The current Through the resistor is the voltage divided by the total resistance.  All the resistors would have the same current since they are in series.

If they are in parallel all resistors still have current as well - unless there is a short around the resistors where it is by passed by a wire/ground.

Answer 2

If you have three parallel wires, one with a battery, one with one resistor and another with 2 resistors, then you will have the same voltage across the two other wires. From this you can get the current through each wire by dividing the battery voltage by the resistance of each wire.

So, if you had a 10V battery and 10 ohm resistors. Then the current through the wire with one resistor is:

I = V/R = 10V / 10ohm = 1A

The current through the other:

I = V/R = 10V / 20ohm = 0.5A