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Assertion (A): Simple resistors, inductors and capacitors are linear elements.
Reason (R): The resistances, inductances and capacitances do not change with a change in applied voltage or the circuit current.
  • a)
    Both A and R are true and R is the correct explanation of A.
  • b)
    Both A and R are true but R is not the correct explanation of A.
  • c)
    A is true but R is false.
  • d)
    A is false but R is true.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Assertion (A): Simple resistors, inductors and capacitors are linear e...
Simple resistors, inductors, and capacitors are linear elements, which means that their behavior can be described by linear equations. The assertion (A) is true, and the reason (R) is the correct explanation of A.

Explanation:

1. Linear elements:
- Linear elements are electronic components that exhibit a linear relationship between the voltage across them and the current flowing through them.
- Simple resistors, inductors, and capacitors are examples of linear elements.
- They follow Ohm's law, which states that the current through a conductor between two points is directly proportional to the voltage across the two points.

2. Linearity of resistors, inductors, and capacitors:
- Resistors, inductors, and capacitors are passive components that do not have any active amplification or signal processing capabilities.
- Their electrical properties, such as resistance, inductance, and capacitance, remain constant regardless of the applied voltage or current.
- This means that their behavior can be accurately described by linear equations.

3. Reason (R) - Explanation of Assertion (A):
- The reason (R) states that the resistances, inductances, and capacitances of these components do not change with a change in applied voltage or circuit current.
- This is true because these values are inherent to the physical properties of the components and do not vary with the operating conditions.
- For example, a resistor with a resistance value of 10 ohms will always have the same resistance regardless of the voltage or current applied to it.
- Similarly, an inductor with an inductance value of 1 henry will always exhibit the same inductance regardless of the voltage or current.
- The same applies to capacitors, which have a fixed capacitance value that does not change with the applied voltage or current.

Conclusion:
Both the assertion (A) and the reason (R) are true, and the reason correctly explains why simple resistors, inductors, and capacitors are considered linear elements. These components exhibit a linear relationship between voltage and current, and their electrical properties remain constant regardless of the operating conditions.
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Assertion (A): Simple resistors, inductors and capacitors are linear elements.Reason (R): The resistances, inductances and capacitances do not change with a change in applied voltage or the circuit current.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true but R is not the correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer?
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