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Question

What is the power factor for a purely inductive or purely capacitive AC circuit?

The correct answer is

0

In an AC circuit, power factor (PF) is defined as the cosine of the phase angle (ϕ) between the current and voltage. It is represented as:

PF = cos(ϕ)

1. In purely inductive or purely capacitive circuits, the phase difference between current and voltage is 90 degrees because:

  • In a purely inductive circuit, voltage leads the current by 90°.
  • In a purely capacitive circuit, current leads the voltage by 90°.

2. For a 90-degree phase difference, the cosine value is:

cos(90°) = 0

3. Therefore, the power factor for both purely inductive and purely capacitive circuits is:

0

Thus, the correct answer is 0.

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Important Questions from Power in Electric Circuits

  1. Two electric bulbs marked 25 W - 220 V and 100 W - 220 V are connected in series with 440 V supply. Which of the bulb will fuse?

  2. Two heaters are marked 200V,300W & 200V,600W. If the heaters are connected in series and the combination connected in series and the combination connected to a 200 V dc supply, then which option is true out of the following?

  3. Two electric bulbs are rated '$220$ V, $100$ W' and '$220$ V, $50$ W' respectively.
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  5. A bulb is connected across a battery of 10 V for 20 seconds. If a current of 2 A flows through it, calculate the heat energy generated by the bulb.
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