Question

4. Using the laws of circuit theory, solve for RT, IT, I₁, I2, and I3.

IT
VT=12 V
R1=8.2ΚΩ
R2=6.8ΚΩ
R3=4.7ΚΩ

Answer 1

To solve for RT, IT, I₁, I₂, and I₃ in a circuit, we can use the laws of circuit theory. First, find the total resistance RT by using the formula 1/RT = 1/R₁ + 1/R₂ + 1/R₃. Next, calculate IT using Ohm's law, IT = VT / RT. Then, to find I₁, I₂, and I₃, apply the current divider rule.

Step-by-step explanation:

In this circuit, we can use the laws of circuit theory to solve for RT, IT, I₁, I₂, and I₃.

To find the total resistance RT, we can use the formula:

1/RT = 1/R₁ + 1/R₂ + 1/R₃

Substituting the given values, we get:

1/RT = 1/8.2KΩ + 1/6.8KΩ + 1/4.7KΩ

Simplifying the equation will give us RT.

Once we have RT, we can calculate IT using Ohm's law:

IT = VT / RT

Substituting the given values, we get:

IT = 12V / RT

To calculate I₁, I₂, and I₃, we can use the current divider rule:

I₁ = IT * (R₂ || R₃) / (R₁ + (R₂ || R₃))

I₂ = IT * R₁ / (R₁ + (R₂ || R₃))

I₃ = IT * R₁ / (R₁ + (R₂ || R₃))