NEET Exam  >  NEET Questions  >  The virtual current of 4A and 50Hz flows in a... Start Learning for Free
The virtual current of 4A and 50Hz flows in an AC circuit containing a coil. The power consumed in the coil is 240W. If the virtual voltage across the coil is 100V, then it's resistance will be A) 1/3π ohm B) 1/5π ohm C) 15 ohm D) 1/π ohm?
Most Upvoted Answer
The virtual current of 4A and 50Hz flows in an AC circuit containing a...
Given Information:


  • Virtual current: 4A

  • Frequency: 50Hz

  • Power consumed: 240W

  • Virtual Voltage: 100V



Calculating Resistance:

As we know:

Power = (Virtual Current)2 x Resistance

Therefore, Resistance = Power / (Virtual Current)2

Resistance = 240W / (4A)2

Resistance = 240W / 16A2

Resistance = 240W / 256

Resistance = 0.9375 ohm


Calculating Inductive Reactance:

As we know:

Inductive Reactance (XL) = 2π x Frequency x Inductance

Therefore, Inductance = XL / (2π x Frequency)

Virtual Voltage = Virtual Current x Impedance

Impedance = √(Resistance2 + XL2)

Virtual Voltage = Virtual Current x √(Resistance2 + XL2)

100V = 4A x √(0.93752 + XL2)

25 = 0.93752 + XL2

XL2 = 25 - 0.93752

XL2 = 24.94

XL = √24.94

XL = 4.994 ohm


Calculating Inductance:

Inductive Reactance (XL) = 2π x Frequency x Inductance

Therefore, Inductance = XL / (2π x Frequency)

Inductance = 4.994 ohm / (2π x 50Hz)

Inductance = 0.0159 H


Final Answer:

The resistance of the coil is 0.9375 ohm and its inductance is 0.0159 H.

Option D) 1/π ohm is not the correct answer.
Community Answer
The virtual current of 4A and 50Hz flows in an AC circuit containing a...
P=i²R
R=P/i²
R=240/16=15ohm
Z=V/i
=100/4 =25ohm
Xl= underroot of Z²-R²
So underroot of 25² - 15² =20 ohm
Now 2piVl =20
l = 20/2pi *50
=1/5pi hz
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
Explore Courses for NEET exam

Top Courses for NEET

The virtual current of 4A and 50Hz flows in an AC circuit containing a coil. The power consumed in the coil is 240W. If the virtual voltage across the coil is 100V, then it's resistance will be A) 1/3π ohm B) 1/5π ohm C) 15 ohm D) 1/π ohm?
Question Description
The virtual current of 4A and 50Hz flows in an AC circuit containing a coil. The power consumed in the coil is 240W. If the virtual voltage across the coil is 100V, then it's resistance will be A) 1/3π ohm B) 1/5π ohm C) 15 ohm D) 1/π ohm? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The virtual current of 4A and 50Hz flows in an AC circuit containing a coil. The power consumed in the coil is 240W. If the virtual voltage across the coil is 100V, then it's resistance will be A) 1/3π ohm B) 1/5π ohm C) 15 ohm D) 1/π ohm? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The virtual current of 4A and 50Hz flows in an AC circuit containing a coil. The power consumed in the coil is 240W. If the virtual voltage across the coil is 100V, then it's resistance will be A) 1/3π ohm B) 1/5π ohm C) 15 ohm D) 1/π ohm?.
Solutions for The virtual current of 4A and 50Hz flows in an AC circuit containing a coil. The power consumed in the coil is 240W. If the virtual voltage across the coil is 100V, then it's resistance will be A) 1/3π ohm B) 1/5π ohm C) 15 ohm D) 1/π ohm? in English & in Hindi are available as part of our courses for NEET. Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of The virtual current of 4A and 50Hz flows in an AC circuit containing a coil. The power consumed in the coil is 240W. If the virtual voltage across the coil is 100V, then it's resistance will be A) 1/3π ohm B) 1/5π ohm C) 15 ohm D) 1/π ohm? defined & explained in the simplest way possible. Besides giving the explanation of The virtual current of 4A and 50Hz flows in an AC circuit containing a coil. The power consumed in the coil is 240W. If the virtual voltage across the coil is 100V, then it's resistance will be A) 1/3π ohm B) 1/5π ohm C) 15 ohm D) 1/π ohm?, a detailed solution for The virtual current of 4A and 50Hz flows in an AC circuit containing a coil. The power consumed in the coil is 240W. If the virtual voltage across the coil is 100V, then it's resistance will be A) 1/3π ohm B) 1/5π ohm C) 15 ohm D) 1/π ohm? has been provided alongside types of The virtual current of 4A and 50Hz flows in an AC circuit containing a coil. The power consumed in the coil is 240W. If the virtual voltage across the coil is 100V, then it's resistance will be A) 1/3π ohm B) 1/5π ohm C) 15 ohm D) 1/π ohm? theory, EduRev gives you an ample number of questions to practice The virtual current of 4A and 50Hz flows in an AC circuit containing a coil. The power consumed in the coil is 240W. If the virtual voltage across the coil is 100V, then it's resistance will be A) 1/3π ohm B) 1/5π ohm C) 15 ohm D) 1/π ohm? tests, examples and also practice NEET tests.
Explore Courses for NEET exam

Top Courses for NEET

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev