The value of the resistor that must be connected in parallel is 57.47 ohms
<h3>How to determine the resistor connected across the 230 V supply</h3>
- Voltage (V) = 230 V
- Current (I) = 12 A
- Resistor 1 (R₁) =?
V = IR
230 = 12 × R₁
Divide both sides by 12
R₁ = 230 / 12
R₁ = 19.17 ohms
<h3>How to determine the total resistance</h3>
- Voltage (V) = 230 V
- Current (I) = 16 A
- Total resistance (Rₜ) =?
V = IR
230 = 16 × Rₜ
Divide both sides by 12
Rₜ = 230 / 16
Rₜ = 14.375 ohms
<h3>How to determine the resistor connected in paralle</h3>
- Resistor 1 (R₁) = 19.17 ohms
- Total resistance (Rₜ) = 14.375 ohms
- Resistor 2 (R₂) = ?
1/Rₜ = 1/R₁ + 1/R₂
Collect like terms
1/R₂ = 1/Rₜ - 1/R₁
R₂ = (Rₜ × R₁) / (R₁ - Rₜ)
R₂ = (14.375 × 19.17) / (19.17 - 14.375)
R₂ = 57.47 ohms
Learn more about Ohm's law:
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