Question

A 10-Ohm resistor is attached to a 20-Ohm resistor in series. This combination is then attached to a 30-Ohm resistor in parallel. This is then connected to a 120 V battery. What is the current flow through the 20-Ohm resistor?

Answer 1

The current flow through the 20-Ohm resistor is 8 Amps.

Step-by-step explanation:

To find the current flow through the 20-Ohm resistor, we need to first determine the total resistance of the circuit. The 10-Ohm and 20-Ohm resistors are connected in series, so their resistances add up to give a total resistance of 30 Ohms. This combination is then connected in parallel with the 30-Ohm resistor.

Using the concept of equivalent resistance in parallel, we can calculate the total resistance as:

1. 1/Req = 1/30 + 1/30 = 2/30

2. Req = 30/2 = 15 Ohms

Now, we can apply Ohm's Law to calculate the current flow through the 20-Ohm resistor using the formula:

I = V/R = 120 V / 15 Ohms = 8 A

Therefore, the current flow through the 20-Ohm resistor is 8 Amps.