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In force-current analogy stiffness constant K is analogous to
- a)inductance
- b)reciprocal of inductance
- c)capacitance
- d)reciprocal of capacitance
Correct answer is option 'B'. Can you explain this answer?
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Understanding the Force-Current Analogy
The force-current analogy is a conceptual framework used in engineering to relate mechanical systems to electrical systems. It helps in visualizing how different physical quantities correspond to each other.
Key Analogies in the Force-Current Framework
- Force (F) corresponds to Voltage (V)
- Displacement (x) corresponds to Charge (Q)
- Velocity (v) corresponds to Current (I)
Stiffness Constant (K) and Inductance (L)
In mechanics, the stiffness constant (K) represents the relationship between force and displacement, defined as:
- K = F / x
In electrical circuits, inductance (L) represents the relationship between voltage and current, defined as:
- V = L * (dI/dt)
Reciprocal Relationships
- The stiffness constant (K) and inductance (L) are inversely related. This means that a higher stiffness leads to a lower inductance, and vice versa.
- Therefore, when analyzing the analogy:
- Stiffness (K) is analogous to the reciprocal of inductance (1/L).
Conclusion
Thus, in the context of this analogy, the correct answer is option 'B': stiffness constant K is analogous to the reciprocal of inductance. This relationship helps engineers understand the dynamic behavior of systems by applying principles from one domain to another effectively.
The force-current analogy is a conceptual framework used in engineering to relate mechanical systems to electrical systems. It helps in visualizing how different physical quantities correspond to each other.
Key Analogies in the Force-Current Framework
- Force (F) corresponds to Voltage (V)
- Displacement (x) corresponds to Charge (Q)
- Velocity (v) corresponds to Current (I)
Stiffness Constant (K) and Inductance (L)
In mechanics, the stiffness constant (K) represents the relationship between force and displacement, defined as:
- K = F / x
In electrical circuits, inductance (L) represents the relationship between voltage and current, defined as:
- V = L * (dI/dt)
Reciprocal Relationships
- The stiffness constant (K) and inductance (L) are inversely related. This means that a higher stiffness leads to a lower inductance, and vice versa.
- Therefore, when analyzing the analogy:
- Stiffness (K) is analogous to the reciprocal of inductance (1/L).
Conclusion
Thus, in the context of this analogy, the correct answer is option 'B': stiffness constant K is analogous to the reciprocal of inductance. This relationship helps engineers understand the dynamic behavior of systems by applying principles from one domain to another effectively.
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In force-current analogy stiffness constant K is analogous toa)inductanceb)reciprocal of inductancec)capacitanced)reciprocal of capacitanceCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about In force-current analogy stiffness constant K is analogous toa)inductanceb)reciprocal of inductancec)capacitanced)reciprocal of capacitanceCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In force-current analogy stiffness constant K is analogous toa)inductanceb)reciprocal of inductancec)capacitanced)reciprocal of capacitanceCorrect answer is option 'B'. Can you explain this answer?.
In force-current analogy stiffness constant K is analogous toa)inductanceb)reciprocal of inductancec)capacitanced)reciprocal of capacitanceCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about In force-current analogy stiffness constant K is analogous toa)inductanceb)reciprocal of inductancec)capacitanced)reciprocal of capacitanceCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In force-current analogy stiffness constant K is analogous toa)inductanceb)reciprocal of inductancec)capacitanced)reciprocal of capacitanceCorrect answer is option 'B'. Can you explain this answer?.
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