Respuesta :

A. The total resistance is 19 ohms

B. The current through the 8 ohm resistor is 1.58 A

How to determine the total resistance

  • Resistor 1 (R₁) = 6 ohms
  • Resistor 2 (R₂) = 5 ohms
  • Resistor 3 (R₃) = 8 ohms
  • Total resistance (Rₜ) =?

For series connection, the total resistance can be obtained as follow:

Rₜ = R₁ + R₂ + R₃

Rₜ = 6 + 5 + 8

Rₜ = 19 ohms

How to determine the current in the circuit

  • Potential difference (V) = 30 V
  • Total resistance (R) = 19 ohms
  • Current (I) =?

Using ohm's law equation, we obtained the current as follow:

V = IR

Divide both side by R

I = V / R

I = 30 / 19

I = 1.58 A

How to determine the current through 8 ohms

  • Total current = 1.58 A
  • Resistor (R) = 8 ohms
  • Current through 8 ohms =?

From the question given above, we were told that the circuit is in series connection. This simply means that the same current will go through each resistor.

Thus, the current through the 8 ohm resistor will be 1.58 A

Learn more about Ohm's law:

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