AC Voltage Specification – Rankers Physics

Average Current and RMS Current: Practice Problem & Solution

Assertion (A): \(220V\), \(50 \text{ Hz}\) appliance implies that potential difference in bulb is always \(220V\). Reason (R): Every appliance is specified with its peak tolerable voltage.  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Average Current and RMS Current. Understanding the underlying formula is key to arriving at the correct answer below:

\(220V\) AC represents the RMS voltage, not the instantaneous or peak voltage. The instantaneous voltage varies sinusoidally, reaching a peak of \(V_{\text{peak}} = V_{\text{RMS}} \sqrt{2} = 220 \sqrt{2} \approx 311 \text{V}\). So, Assertion (A) is false. Appliances are usually specified by their RMS operating voltage, not peak tolerable voltage. So, Reason (R) is false. Both assertion and reason are false.

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