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The V-I characteristic of a resistor is I = 2V2. The resistor is
  • a)
    Linear, passive, bilateral
  • b)
    Non-linear, passive, bilateral
  • c)
    Non-linear, active, bilateral
  • d)
    Non-linear, active, unilateral
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The V-I characteristic of a resistor is I = 2V2. The resistor isa)Line...
Given resistor is a active element.
Given that, I = 2V2.
Given V-I characteristic represents non-linear relation between current and voltage.
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Community Answer
The V-I characteristic of a resistor is I = 2V2. The resistor isa)Line...


Characteristics of the Resistor:

The given V-I characteristic of the resistor is I = 2V^2. Let's analyze the characteristics of the resistor based on this equation.

Non-linear Behavior:
- The V-I relationship I = 2V^2 is a quadratic equation, which indicates a non-linear behavior of the resistor. In a linear resistor, the current is directly proportional to the voltage (I = V/R), but in this case, the current is proportional to the square of the voltage.

Active Element:
- A resistor is a passive element as it dissipates energy and does not amplify or generate power. However, the non-linear behavior described by the equation I = 2V^2 implies that this resistor exhibits active characteristics. Active elements can control the flow of current in a circuit.

Unilateral Property:
- A unilateral element is one whose current-voltage relationship is different for positive and negative voltage values. In this case, the resistor described by I = 2V^2 does not exhibit the same behavior for positive and negative voltages, making it a unilateral element.

Therefore, based on the given V-I characteristic equation I = 2V^2, the resistor is non-linear, active, and unilateral in nature.
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The V-I characteristic of a resistor is I = 2V2. The resistor isa)Linear, passive, bilateralb)Non-linear, passive, bilateralc)Non-linear, active, bilaterald)Non-linear, active, unilateralCorrect answer is option 'D'. Can you explain this answer?
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