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Question

A circuit with ideal elements is shown. 

Which one of the following options correctly identifies all the linear elements in the circuit?

The correct answer is
R, L, and C only

To determine which elements in the circuit are linear, let's first understand the characteristics of linear and non-linear elements:

  • Linear Elements: These elements follow the superposition principle. The relationship between voltage and current is linear, which means their parameters (resistance, inductance, capacitance) do not change with voltage or current.
  • Non-linear Elements: These elements do not follow the superposition principle. Their parameters change with voltage or current.

In the given circuit, we have the following elements:

  1. R (Resistor): Linear element. The voltage across a resistor is directly proportional to the current through it (Ohm's Law: V = IR).
  2. L (Inductor): Linear element. The voltage across an inductor is proportional to the rate of change of current through it (V = L \frac{di}{dt}).
  3. C (Capacitor): Linear element. The current through a capacitor is proportional to the rate of change of voltage across it (I = C \frac{dv}{dt}).
  4. D (Diode): Non-linear element. A diode conducts current in one direction only; its voltage-current relationship is not linear.

From the above analysis, we see that R, L, and C are linear elements, while D is a non-linear element.

Conclusion: The correct answer is R, L, and C only, as they are the linear elements in the circuit.

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Important Questions from Circuit Elements

  1. _______ is defined as the property of the coil due to which it opposes the change of current flowing through it.

  2. If a capacitor stores 0.12 C at 10 V, then its capacitance is-

  3. Which of the following is unit of specific resistance?

  4. Which of the following is true for the parallel connection of resistors?

  5. A capacitor that stores a charge of 0.5 coloumb at 10 Volt. The value of capacitance of capacitor will be -

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