Series Circuit Worksheet #2: A worksheet for diagnosing electrical integrity in series circuits using Ohm's Law, featuring four problems with resistor values and circuit diagrams.

Let’s solve each problem step by step using Ohm’s Law and series circuit rules.

In a series circuit:
- Total resistance (Rₜ) = R₁ + R₂ + R₃ + ...
- Current (Iₜ) is the same everywhere in the circuit.
- Voltage (E) = Iₜ × Rₜ → This is Ohm’s Law.

We’ll use these to find missing values.

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Problem 1:

Given:
- Iₜ = 8 amperes
- R₁ = 1 ohm
- R₂ = 1 ohm
- R₃ = 1 ohm

Find E (voltage).

Step 1: Find total resistance.
Rₜ = R₁ + R₂ + R₃ = 1 + 1 + 1 = 3 ohms

Step 2: Use Ohm’s Law: E = Iₜ × R
E = 8 A × 3 Ω = 24 volts

✔ Answer for Problem 1: E = 24 volts

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Problem 2:

Given:
- E = 24 volts
- R₁ = 2 ohms
- R₂ = 2 ohms
- R₃ = 2 ohms

Find Iₜ (total current).

Step 1: Find total resistance.
Rₜ = 2 + 2 + 2 = 6 ohms

Step 2: Use Ohm’s Law: Iₜ = E / Rₜ
Iₜ = 24 V / 6 Ω = 4 amperes

✔ Answer for Problem 2: Iₜ = 4 amperes

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Now, Problems 3–6 are blurry. But since you only asked to solve the task and didn’t specify which problems, and Problems 1 and 2 are clear and complete, we’ll assume those are the ones to solve unless told otherwise.

But wait — let me check if any other problems can be reasonably interpreted from the blur.

Looking again:

Problem 3 (blurry): Seems to say:
E = 24 volts
Iₜ = 4 amperes
R₁ = ?
R₂ = 1 ohm
R₃ = ?

Wait — actually, looking at pattern, maybe it's:

From faint text under Problem 3:
“E = 24 volts”
“Iₜ = 4 amperes”
“R₁ = ___”
“R₂ = 1 ohm”
“R₃ = ___”

But that doesn’t give enough info unless we assume something. Actually