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AP EAMCET202120 Aug 2021Morning ShiftPhysicsAlternating CurrentActual

A 20 V AC is applied to a circuit consisting of a resistor and a coil with negligible resistance. If the voltage across the resistor is 12 V , the voltage across the coil is

Options

  1. A16   V
  2. B10   V
  3. C8   V
  4. D6   V

Correct answer

A. 16   V

Step-by-step solution

As the resistance and coil or inductor are in series with power supply, therefore the voltage in the inductor will lead the voltage in resistor by 90 ° ,   the phasor diagram is, So, V net = 20   V = V R 2 + V I 2   and given that V R = 12   V Therefore, V I = 20 2 - 12 2 = 16   V Hence, voltage across the coil is, 16   V

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