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A line of characteristic impedance 50 ohms is terminated at one end by +j50 ohms. The VSWR on the line is


1. 1
2. ∞
3. 0
4. j

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Best answer
Correct Answer - Option 2 : ∞

Concept:

Voltage standing wave ratio (VSWR) is mathematically defined as:

Γ = Reflection coefficient given by:

\(Γ_L= \frac{{{Z_L} - {Z_o}}}{{{Z_L} + {Z_o}}}\)

ZL = Load Impedance

Z0 = Characteristic impedance

Application:

Given: Zo = 50 Ω and ZL = j50 Ω

Reflection co-efficient will be: 

\(Γ_L= \frac{{{Z_L} - {Z_o}}}{{{Z_L} + {Z_o}}}\)

\(Γ_L= \frac{{j50 - 50}}{{j50 + 50}}=\frac{j-1}{j+1}\)

L| = 1

Now, the voltage standing wave ratio will be:

\(VSWR = \frac{{1 +1}}{{1 - 1}}\)

VSWR = ∞ 

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