Question

What is the total current I flowing through a system with two resistors in parallel with resistances of 2Ω and 5Ω, and a battery with potential difference of 10V?

Answer 1

7A

Step-by-step explanation:

Current I = potential difference V ÷ Resistance R

I = V/R ........1

The overall resistance of parallel resistors is;

1/Rt = 1/R1 + 1/R2 ........2

Given;

V = 10V

R1 = 2 ohms

R2 = 5 ohms

Substituting the values into equation 2, to calculate the overall resistance;

1/Rt = 1/2 + 1/5

1/Rt = 7/10

Rt = 10/7 ohms

From equation 1, we can solve for the total current;

I = V/Rt = 10/(10/7)

I = 7A

The total current I flowing through a system is 7A