Q. No.The instantaneous value of current in an AC circuit is \(I = 2\sin\left(100\pi t +\dfrac{\pi}{3}\right)~\text{A}\). The current will be maximum for the first time at:
| 1. | \(t = \dfrac{1}{100}s\) | 2. | \(t = \dfrac{1}{200}s\) |
| 3. | \(t = \dfrac{1}{400}s\) | 4. | \(t = \dfrac{1}{600}s\) |
Subtopic: Â RMS & Average Values |
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Level 2: 60%+
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A \(10~\mu\text F\) capacitor is connected to a \(210~\text V,50~\text{Hz}\) source as shown in the figure. The peak current in the circuit is nearly \((\pi = 3.14)\):
| 1. | \(0.93~\text A\) | 2. | \(1.20~\text A\) |
| 3. | \(0.35~\text A\) | 4. | \(0.58~\text A\) |
Subtopic: Â RMS & Average Values |
 55%
Level 3: 35%-60%
NEET - 2024
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The variation of an alternating current \(I=I_0 \mathrm{sin}(\omega t)\) with time \((t)\) is shown in the figure below. The average value of the current for the half-cycle will be:
| 1. | \(\dfrac{I_{0}}{\pi}\) | 2. | \(\dfrac{I_{0}}{2}\) |
| 3. | \(\dfrac{2 I_{0}}{\pi}\) | 4. | \(\dfrac{I_{0}}{2 \pi}\) |
Subtopic: Â RMS & Average Values |
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An alternating current given by \(I=I_0~\sin\omega t+I_0~\cos\omega t\) flows through a circuit. The RMS current is:
| 1. | \(I_0\) | 2. | \(\dfrac{I_0}{\sqrt2}\) |
| 3. | \(\sqrt2I_0\) | 4. | zero |
Subtopic: Â RMS & Average Values |
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Level 3: 35%-60%
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A light bulb is rated at \(100~\text W\) for a \(220~\text V\) AC supply. The peak voltage of the source is:
1. \(220~\text V\)
2. \(110~\text V\)
3. \(311~\text V\)
4. \(100~\text V\)
Subtopic: Â RMS & Average Values |
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Level 2: 60%+
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The variation of an alternating current \((I)\) with time \((t)\) is shown in the figure. The average value of current for \(t=0\) to \(t=\dfrac{3T}{2}\) is:
1. \(\dfrac{I_0}{6}\)
2. \(\dfrac{2I_0}{\pi}\)
3. \(\dfrac{I_0}{\pi}\)
4. \(\dfrac{I_0}{12}\)
1. \(\dfrac{I_0}{6}\)
2. \(\dfrac{2I_0}{\pi}\)
3. \(\dfrac{I_0}{\pi}\)
4. \(\dfrac{I_0}{12}\)
Subtopic: Â RMS & Average Values |
Level 4: Below 35%
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An alternating current in a circuit is given by; \(I=20\sin\left({{100}{\pi}{t}+{0.05}\pi}\right)~\text{A}\). The rms value and the frequency of the current respectively are:
1. \(10\) A and \(100\) Hz
2. \(10\) A and \(50\) Hz
3. \(10\sqrt{2}\) A and \(50\) Hz
4. \(10\sqrt{2}\) A and \(100\) Hz
1. \(10\) A and \(100\) Hz
2. \(10\) A and \(50\) Hz
3. \(10\sqrt{2}\) A and \(50\) Hz
4. \(10\sqrt{2}\) A and \(100\) Hz
Subtopic: Â RMS & Average Values |
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A \(40~\mu\text F\) capacitor is connected to a \(200~\text V,\) \(50~\text{Hz}\) AC supply. The RMS value of the current in the circuit is, nearly:
| 1. | \(2.05~\text A\) | 2. | \(2.5~\text A\) |
| 3. | \(25.1~\text A\) | 4. | \(1.7~\text A\) |
Subtopic: Â RMS & Average Values |
 72%
Level 2: 60%+
NEET - 2020
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What reading would you expect of a square wave current, switching rapidly between \(+0.5~\text A\) and \(-0.5~\text A,\) when passed through an AC ammeter?
1. zero
2. \(0.5~\text A\)
3. \(0.25~\text A\)
4. \(1.0~\text A\)
1. zero
2. \(0.5~\text A\)
3. \(0.25~\text A\)
4. \(1.0~\text A\)
Subtopic: Â RMS & Average Values |
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A standard filament lamp consumes \(100~\text W\) when connected to \(200~\text V\) AC mains supply. The peak current through the bulb will be:
1. \(0.707~\text A\)
2. \(1~\text A\)
3. \(1.414~\text A\)
4. \(2~\text A\)
1. \(0.707~\text A\)
2. \(1~\text A\)
3. \(1.414~\text A\)
4. \(2~\text A\)
Subtopic: Â RMS & Average Values |
 75%
Level 2: 60%+
NEET - 2022
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