Consider the following statements regarding Transmission Lines:1.Transmission lines exhibit distributed parameters such as resistance, inductance, capacitance and conductance.2.Characteristic impedance is independent of line length.3.Reflection occurs when load impedance does not match line impedance.4.Standing waves are formed due to reflections along the line.Which of the above statements is/are correct?
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Its characteristic impedance is set by those per-unit-length parameters and frequency, not by line length. A mismatch between load and characteristic impedance causes reflected waves and standing-wave patterns. Key relation: Z₀=√((R+jωL)/(G+jωC)); Γ=(Z_L−Z₀)/(Z_L+Z₀).
Exam focus: Match ZL to Z0 to eliminate reflection. Common trap: Characteristic impedance is not the same as total line impedance.
Formula / Key Relation
Z₀=√((R+jωL)/(G+jωC)); Γ=(ZL−Z₀)/(ZL+Z₀).
Detailed Explanation
Correct Answer: D - All of the above Quick Concept Explanation Its characteristic impedance is set by those per-unit-length parameters and frequency, not by line length. A mismatch between load and characteristic impedance causes reflected waves and standing-wave patterns. Key relation: Z₀=√((R+jωL)/(G+jωC)); Γ=(Z_L−Z₀)/(Z_L+Z₀).Exam focus: Match ZL to Z0 to eliminate reflection. Common trap: Characteristic impedance is not the same as total line impedance. Statement-wise Verification Statement 1 - Correct.Transmission lines exhibit distributed parameters such as resistance, inductance, capacitance and conductance.At sufficiently high frequency or long physical length, a transmission line must be represented by distributed R, L, G and C…
Correct Answer: D - All of the above
Quick Concept Explanation
Its characteristic impedance is set by those per-unit-length parameters and frequency, not by line length. A mismatch between load and characteristic impedance causes reflected waves and standing-wave patterns. Key relation: Z₀=√((R+jωL)/(G+jωC)); Γ=(Z_L−Z₀)/(Z_L+Z₀).
Exam focus: Match ZL to Z0 to eliminate reflection. Common trap: Characteristic impedance is not the same as total line impedance.
Statement-wise Verification
Statement 1 - Correct. Transmission lines exhibit distributed parameters such as resistance, inductance, capacitance and conductance. At sufficiently high frequency or long physical length, a transmission line must be represented by distributed R, L, G and C per unit length.
Statement 2 - Correct. Characteristic impedance is independent of line length. Its characteristic impedance is set by those per-unit-length parameters and frequency, not by line length.
Statement 3 - Correct. Reflection occurs when load impedance does not match line impedance. A mismatch between load and characteristic impedance causes reflected waves and standing-wave patterns.
Statement 4 - Correct. Standing waves are formed due to reflections along the line. A mismatch between load and characteristic impedance causes reflected waves and standing-wave patterns.
Core Concept
At sufficiently high frequency or long physical length, a transmission line must be represented by distributed R, L, G and C per unit length. Its characteristic impedance is set by those per-unit-length parameters and frequency, not by line length. A mismatch between load and characteristic impedance causes reflected waves and standing-wave patterns.
Formula / Key Relationship
Z₀=√((R+jωL)/(G+jωC)); Γ=(Z_L−Z₀)/(Z_L+Z₀).
Why the Other Options Are Wrong
Option A is incorrect because it omits correct statement(s) 4. Option B is incorrect because it omits correct statement(s) 2, 3. Option C is incorrect because it omits correct statement(s) 1, 4.
Exam Shortcut / Approach
Match ZL to Z0 to eliminate reflection.
Common Mistake
Characteristic impedance is not the same as total line impedance.
Quick Revision
Characteristic Impedance and Reflections is linked with Distributed-Parameter Lines, Transmission Lines and Electromagnetic Fields. Match ZL to Z0 to eliminate reflection.
Quick Trick
Match ZL to Z0 to eliminate reflection.
Why Other Options Are Wrong
Option A is incorrect because it omits correct statement(s) 4. Option B is incorrect because it omits correct statement(s) 2, 3. Option C is incorrect because it omits correct statement(s) 1, 4.
Common Mistake
Characteristic impedance is not the same as total line impedance.
Exam Tip
Match ZL to Z0 to eliminate reflection.
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