Question:
A receiver connected to an antenna whose resistance is \(50~\Omega\) has an equivalent noise resistance of \(30~\Omega\). Calculate the receiver's noise figure?
A receiver connected to an antenna whose resistance is \(50~\Omega\) has an equivalent noise resistance of \(30~\Omega\). Calculate the receiver's noise figure?
Show Hint
Noise Figure:
\[
F=1+\frac{R_n}{R_s}
\]
where \(R_n\) is equivalent noise resistance and \(R_s\) is source resistance.
Updated On: Jun 25, 2026
- \(0.6\)
- \(1.0\)
- \(1.6\)
- \(2.0\)
Show Solution
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The Correct Option is C
Solution and Explanation
Concept:
Noise figure in terms of equivalent noise resistance is
\[
F=1+\frac{R_n}{R_s}
\]
where
\[
R_n=\text{equivalent noise resistance}
\]
and
\[
R_s=\text{source resistance}
\]
Step 1: Substitute the given values.
\[ R_n=30\Omega \] \[ R_s=50\Omega \] \[ F=1+\frac{30}{50} \]
Step 2: Simplify.
\[ F=1+0.6 \] \[ F=1.6 \]
Step 3: Final Answer.
\[ \boxed{F=1.6} \] Hence, \[ \boxed{\text{Correct Option (C)}} \]
Step 1: Substitute the given values.
\[ R_n=30\Omega \] \[ R_s=50\Omega \] \[ F=1+\frac{30}{50} \]
Step 2: Simplify.
\[ F=1+0.6 \] \[ F=1.6 \]
Step 3: Final Answer.
\[ \boxed{F=1.6} \] Hence, \[ \boxed{\text{Correct Option (C)}} \]
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