To find the current in a complex circuit, it is necessary to know the


potential difference in each device in the circuit.
current in each device in the circuit.
equivalent resistance of the circuit. number of branches in the circuit.

C

Three resistors connected in parallel have potential differences across them labeled V1, V2, and V3. Which of the following expresses the potential difference across all three of the resistors?

a. Vt=V1+V2+V3
b. Vt=((1/V1)+(1/V2)+1/V3))
c. Vt= V1=V2=V3
d. Vt=((1/V1)+(1/V2)+1/V3))^-1

A

Thanks in advance!

If you know the current in each device and the pathways, you know the total.

If they are in parallel, they are all at the same voltage.

To find the potential difference (Vt) across three resistors connected in parallel, you need to know the individual potential differences across each resistor (V1, V2, and V3).

The correct expression for the potential difference across all three resistors is:
a. Vt = V1 + V2 + V3

So the answer to the question is option A.

To determine this, you should understand that in a parallel circuit, the potential difference across each resistor is the same. Therefore, to find the total potential difference across all the resistors in parallel, you simply add the individual potential differences of each resistor together.

I hope this clarifies the concept! Let me know if you have any further questions.