Question types

Alternating Current question types

41 questions across 4 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

41
Questions
4
Question groups
5
Question types
Sample Questions

Alternating Current questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

An AC source rated 100V (rms) supplies a current of 10A (rms) to a circuit. The average power delivered by the source:
  1. Must be 1000W.
  2. May be 1000W.
  3. May be greater than 1000W.
  4. May be less than 1000W.
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An AC source is rated 220V, 50Hz. The average voltage is calculated in a time interval of 0.01s, It:
  1. Must be zero.
  2. May be zero.
  3. Is never zero.
  4. Is $\Big(\frac{200}{\sqrt{2}}\Big)\text{V}.$
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In an AC series circuit, the instantaneous current is zero when the instantaneous voltage is maximum. Connected to the source may be a:
  1. Pure inductor.
  2. Pure capacitor.
  3. Pure resistor.
  4. Combination of an inductor and a capacitor.
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The magnetic field energy in an inductor changes from maximum value to minimum value in 5.0ms when connected to an AC source. The frequency of the source:
  1. 20Hz.
  2. 50Hz.
  3. 200Hz.
  4. 500Hz.
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An $AC$ source producing emf $\epsilon=\epsilon_{0}\Big[\cos\big(100\pi\text{s}^{-1}\big)\text{t}+\cos\big(500\pi\text{s}^{-1}\big)\text{t}\Big]$ is connected in series with a capacitor and a resistor. The steady$-$state current in the circuit is found to be $\text{i}=\text{i}_1\cos\Big[\big(100\pi\text{s}^{-1}\big)\text{t}+\phi_1\Big]+\text{i}_2\cos\Big[\big(500\pi\text{s}^{-1}\big)\text{t}+\phi_2\Big].$
  • A
    $i_1 > i_2$
  • B
    $i_1 = i_2$
  • $i_1 < i_2$
  • D
    The information is insufficient to find the relation between $i_1$ and $i_2$

Answer: C.

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A current $\text{i}_1=\text{i}_0\sin\omega\text{t}$ passes through a resistor of resistance $R.$ How much thermal energy is produced in one time period? A current $\text{i}_2=-\text{i}_0\sin\omega\text{t}$ passes through the resistor. How much thermal energy is produced in one time period? If $i_1,$ and $i_2$ both pass through the resistor simultaneously, how much thermal energy is produced? Is the principle of superposition obeyed in this case?
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An $AC$ source is connected to a capacitor. Will the rms current increase, decrease or remain constant if a dielectric slab is inserted into the capacitor?
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A transformer is designed to convert an AC voltage of 220V to an AC voltage of 12V. If the input terminals are connected to a DC voltage of 220V, the transformer usually burns. Explain.
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The current in a discharging LR circuit is given by $\text{i}=\text{i}_0\text{e}^{\frac{-\text{t}}{\tau}}$ where $\tau$ is the time constant of the circuit. Calculate the rms current for the period $\text{t}=0$ to $\text{t}=\tau.$
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A resistance is connected to an $AC$ source. If a capacitor is included in the series circuit, will the average power absorbed by the resistance increase or decrease? If an inductor of small inductance is also included in the series circuit, will the average power absorbed increase or decrease further?
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The dielectric strength of air is $3.0 \times 10^6\ V/m.$ A parallel$-$plate air$-$capacitor has area $20\ cm^2$ and plate separation $0.10\ mm.$ Find the maximum rms voltage of an $AC$ source that can be safely connected to this capacitor.
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The peak power consumed by a resistive coil, when connected to an AC source, is 80W. Find the energy consumed by the coil in 100 seconds, which is many times larger than the time period of the source.
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Q 163 Marks Question3 Marks
An inductor-coil, a capacitor and an AC source of rms voltage 24V are connected in series. When the frequency of the source is varied, a maximum rms current of 6.0A is observed. If this inductor coil is connected to a battery of emf 12V and internal resistance $4.0\Omega,$ what will be the current?
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Q 183 Marks Question3 Marks
A bulb rated 60W at 220V is connected across a household supply of alternating voltage of 220V. Calculate the maximum instantaneous current through the filament.
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Q 193 Marks Question3 Marks
Consider the situation of the previous problem. Find the average electric field energy stored in the capacitor and the average magnetic field energy stored in the coil.
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Q 203 Marks Question3 Marks
The voltage and current in a series AC circuit are given by, $\text{V}=\text{V}_0\cos\omega\text{t}$ and $\text{i}=\text{i}_0\sin\omega\text{t}.$ What is the power dissipated in the circuit?
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