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A small single turn loop antenna has a radiation resistance of 0.04 Ω. The number of turns needed to produce a radiation resistance of 1 Ω is:
- a)25
- b)5
- c)10
- d)50
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A small single turn loop antenna has a radiation resistance of 0.04 &O...
The radiation resistance of a loop antenna is 
Now S is area
Now S is area
If area of single turn is A
then for n turns S=nA
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A small single turn loop antenna has a radiation resistance of 0.04 &O...
Ohms and an inductive reactance of 20 ohms.
To calculate the impedance of the loop antenna, we can use the formula:
Z = R + jX
where Z is the impedance, R is the radiation resistance, X is the reactance (inductive or capacitive), and j is the imaginary unit.
Substituting the given values, we get:
Z = 0.04 + j20
To find the impedance magnitude, we can use the Pythagorean theorem:
|Z| = √(0.04^2 + 20^2) ≈ 20.001 ohms
To find the impedance angle (phase), we can use the inverse tangent function:
θ = tan⁻¹(X/R) = tan⁻¹(20/0.04) ≈ 89.4°
Therefore, the impedance of the small single turn loop antenna is approximately 20.001 ∠ 89.4° ohms.
To calculate the impedance of the loop antenna, we can use the formula:
Z = R + jX
where Z is the impedance, R is the radiation resistance, X is the reactance (inductive or capacitive), and j is the imaginary unit.
Substituting the given values, we get:
Z = 0.04 + j20
To find the impedance magnitude, we can use the Pythagorean theorem:
|Z| = √(0.04^2 + 20^2) ≈ 20.001 ohms
To find the impedance angle (phase), we can use the inverse tangent function:
θ = tan⁻¹(X/R) = tan⁻¹(20/0.04) ≈ 89.4°
Therefore, the impedance of the small single turn loop antenna is approximately 20.001 ∠ 89.4° ohms.
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A small single turn loop antenna has a radiation resistance of 0.04 Ω. The number of turns needed to produce a radiation resistance of 1 Ω is:a)25b)5c)10d)50Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A small single turn loop antenna has a radiation resistance of 0.04 Ω. The number of turns needed to produce a radiation resistance of 1 Ω is:a)25b)5c)10d)50Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A small single turn loop antenna has a radiation resistance of 0.04 Ω. The number of turns needed to produce a radiation resistance of 1 Ω is:a)25b)5c)10d)50Correct answer is option 'B'. Can you explain this answer?.
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