NEETPhysicsAlternating Current
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The RMS value of an alternating current is defined as the equivalent direct current that transfers the same amount of charge through a circuit in a half cycle. Reason (R): For a sinusoidal alternating current, the peak value is 2 times the RMS value. In the light of the above statements, choose the
Options
- ABoth (A) and (R) are true and (R) is the correct explanation of (A)
- BBoth (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
D. (A) is false but (R) is true
Step-by-step solution
The Assertion is false. The RMS (Root Mean Square) value of an alternating current is defined as the equivalent direct current that produces the same heating effect (power dissipation) in a given resistor over a complete cycle. The equivalent direct current that transfers the same amount of charge in a half cycle is defined as the mean (or average) value of the AC. The Reason is true. For a sinusoidal alternating current I = I₀ ( t) , the mathematical relationship between the peak value I₀ and the RMS value I_ rms