Question

The combined resistance R of two resistors R₁ and R₂ (R₁, R₂ > 0) is given by ${\displaystyle \frac{1}{\text{R}}=\frac{1}{{\text{R}}_1}+\frac{1}{{\text{R}}_2}}$. If R₁ + R₂ = C (a constant), then maximum resistance R is obtained if ____________.

Options

• R₁ > R₂

• R₁ < R₂

• R₁ = R₂

• None of these

Answer 1

The combined resistance R of two resistors R₁ and R₂ (R₁, R₂ > 0) is given by ${\displaystyle \frac{1}{\text{R}}=\frac{1}{{\text{R}}_1}+\frac{1}{{\text{R}}_2}}$. If R₁ + R₂ = C (a constant), then maximum resistance R is obtained if R₁ = R₂.