NEETPhysicsAlternating Current
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): In an oscillating LCR circuit with small resistance, the amplitude of the oscillating charge decreases exponentially with time. Reason (R): The resistor in the circuit continuously dissipates electromagnetic energy as heat, causing the total energy to decrease exponentially as E = E₀ e^ -Rt/L . In
Options
- ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
- BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
- C(A) is correct but (R) is not correct
- D(A) is not correct but (R) is correct
Correct answer
A. Both (A) and (R) are correct and (R) is the correct explanation of (A)
Step-by-step solution
Assertion (A) is correct: In a damped LCR circuit, the presence of resistance causes the amplitude of the oscillating charge to decay exponentially as Q = Q₀ e^ - Rt 2L . Reason (R) is correct: The resistor continuously dissipates the stored electromagnetic energy in the form of Joule heating. As a result, the total energy of the circuit decreases exponentially with time according to E = E₀ e^ - Rt L . Furthermore, (R) is the correct explanation of (A) because the exponential decay of the charge amplitude is a dire