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Let's analyze the circuit problem provided in your image.

### Given Data:
- \( R_1 = 2 \, \Omega \)
- \( R_2 = R_3 = 4 \, \Omega \)
- \( R_4 = 4 \, \Omega \)
- Voltage \( V = 8 \, V \)

The task:
- (a) Find \( R_{\text{total}} \) (Total Resistance)
- (b) Find \( I_{\text{total}} \) (Total Current)

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### Step-by-Step Solution:

#### 1. Analyze the Circuit Configuration:
From the diagram:
- **\( R_2 \) and \( R_3 \)** are connected **in parallel**.
- This parallel combination is in **series** with \( R_1 \) and \( R_4 \).

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#### 2. Calculate Equivalent Resistance \( R_P \) for \( R_2 \) and \( R_3 \):
The formula for resistors in parallel is:

\[
\frac{1}{R_P} = \frac{1}{R_2} + \frac{1}{R_3}
\]

Given: \( R_2 = R_3 = 4 \, \Omega \)

\[
\frac{1}{R_P} = \frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2}
\]

\[
R_P = 2 \, \Omega
\]

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#### 3. Find the Total Resistance \( R_{\text{total}} \):
The total resistance is the sum of all resistances in series:

\[
R_{\text{total}} = R_1 + R_P + R_4
\]

Given: \( R_1 = 2 \, \Omega \), \( R_P = 2 \, \Omega \), and \( R_4 = 4 \, \Omega \)

\[
R_{\text{total}} = 2 + 2 + 4 = 8 \, \Omega
\]

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#### 4. Calculate the Total Current \( I_{\text{total}} \):
Using Ohm's law:

\[
I_{\text{total}} = \frac{V}{R_{\text{total}}}
\]

Given: \( V = 8 \, V \), \( R_{\text{total}} = 8 \, \Omega \)

\[
I_{\text{total}} = \frac{8}{8} = 1 \, \text{A}
\]

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### Final Answers:
- **(a)** Total Resistance: \( R_{\text{total}} = 8 \, \Omega \)
- **(b)** Total Current: \( I_{\text{total}} = 1 \, \text{A} \)

Do you need further clarification on any part?

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Here are five related questions you might explore:
1. What happens if one of the resistors is removed from the circuit?
2. How does changing \( R_2 \) or \( R_3 \) affect the total current?
3. What is the voltage drop across each resistor?
4. How do parallel resistors affect the total resistance compared to series?
5. How does the circuit change if the voltage source is doubled?

**Tip:** When resistors are connected in parallel, the total resistance is always less than the smallest resistor in that group.

Find the total resistance (R_total) and total current (I_total) for a circuit with given resistor values: R1 = 2Ω, R2 = R3 = 4Ω, R4 = 4Ω, and voltage V = 8V.

This example demonstrates how to find the total resistance (R_total) and current (I_total) in a circuit with resistors in both series and parallel. Resistor values: R1 = 2Ω, R2 = R3 = 4Ω, R4 = 4Ω, and voltage V = 8V. Using Ohm's Law and series-parallel combination rules, the total resistance and current are calculated step by step.

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