Question

"Two resistors are placed in a parallel circuit, with R1 = 5 ohms and R2 = 5 ohms. What is the total current that would be moved through this circuit by a 10-volt power supply?

A) 4.0 A
B) 100 A
C) 1.0 A
D) 25 A

Select the correct total current (in amperes) for this parallel circuit with the given resistors and power supply."

Answer 1

To calculate the total current in a parallel circuit with two 5-ohm resistors connected to a 10-volt power supply, first find the equivalent resistance (2.5 ohms) and then apply Ohm's law to find the total current, which is 4.0 A.

Step-by-step explanation:

The question is asking to calculate the total current flowing through a parallel circuit with two resistors of equal value (R1 and R2), each being 5 ohms, connected to a 10-volt power supply. To find the total current (Itotal), we need to determine the equivalent resistance (Req) of the parallel resistors and then use Ohm's law (V = IR) to find the current.

First, for resistors in parallel:

• 1/Req = 1/R1 + 1/R2
• 1/Req = 1/5 + 1/5 = 2/5
• Req = 5/2 = 2.5 ohms

Next, using Ohm's law to find the total current:

• Itotal = V / Req
• Itotal = 10V / 2.5 ohms
• Itotal = 4.0 A

Therefore, the correct answer is A) 4.0 A.