Question:
A capacitor of capacity C and reactance X if capacitance and frequency become double then
A capacitor of capacity C and reactance X if capacitance and frequency become double then
Updated On: Apr 21, 2025
- 4X
- X/2
- X/4
- 2X
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is(C): X/4
The capacitive reactance is determined by the formula:
X = 1 / (ωC) = 1 / (2πfC)
Here,C represents the capacitance,f represents the frequency. Now, when both the frequency and capacitance are doubled:
X' = 1 / [2π(2f)(2C)] = 1 / (4πfC)
This simplifies to:
X' = (1/4) * (1 / (2πfC)) = (1/4) * X = (X / 4)
Was this answer helpful?
0
0
Top Questions on Alternating Current Circuits
- A lamp “50 watt and 100 volt” is to be connected to AC mains of 200 volt 50 Hz. Calculate the capacity of condenser required in series of lamp.
- UP Board XII - 2025
- Physics
- Alternating Current Circuits
- A voltage \( v = v_0 \sin \omega t \) applied to a circuit drives a current \( i = i_0 \sin (\omega t + \phi) \) in the circuit. The average power consumed in the circuit over a cycle is:
- CBSE CLASS XII - 2025
- Physics
- Alternating Current Circuits
- Differentiate between the peak value and root mean square value of an alternating current. Derive the expression for the root mean square value of alternating current, in terms of its peak value.
- CBSE CLASS XII - 2025
- Physics
- Alternating Current Circuits
- The resistance of 8 ohm and inductive reactance of 6 ohm are connected in series in an alternating current circuit. The impedance of circuit will be :
- UP Board XII - 2025
- Physics
- Alternating Current Circuits
- An AC power supply of 220 V at 50 Hz, a resistor of 20\( \Omega \), a capacitor of reactance 25\( \Omega \) and an inductor of reactance 45\( \Omega \) are connected in series. The corresponding current in the circuit and the phase angle between the current and the voltage is, respectively :
- NEET (UG) - 2025
- Physics
- Alternating Current Circuits
View More Questions
Questions Asked in NEET exam
- A microscope has an objective of focal length \(f_o = 2\) cm and an eyepiece of focal length \(f_e = 4\) cm. The tube length of the microscope is \(L = 40\) cm. If the distance of distinct vision of eye is \(D = 25\) cm, the magnification in the microscope is:
- NEET (UG) - 2025
- Optical Instruments
- Which one of the following is an example of ex-situ conservation?
- NEET (UG) - 2025
- Ex-Situ Conservation
- Which one of the following compounds can exist as cis-trans isomers?
- NEET (UG) - 2025
- Organic Chemistry
- Who proposed that the genetic code for amino acids should be made up of three nucleotides?
- NEET (UG) - 2025
- Molecular Biology
- An electron (mass \(9 \times 10^{-31}\) kg and charge \(1.6 \times 10^{-19}\) C) moving with speed \(c/100\) (\(c\) = speed of light) is injected into a magnetic field of magnitude \(9 \times 10^{-4}\) T perpendicular to its direction of motion. We wish to apply a uniform electric field \( \vec{E} \) together with the magnetic field so that the electron does not deflect from its path. (speed of light \(c = 3 \times 10^8\) m/s):
- NEET (UG) - 2025
- Electric Field
View More Questions
Concepts Used:
Electromagnetic Induction
Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-
- When we place the conductor in a changing magnetic field.
- When the conductor constantly moves in a stationary field.
Formula:
The electromagnetic induction is mathematically represented as:-
e=N × d∅.dt
Where
- e = induced voltage
- N = number of turns in the coil
- Φ = Magnetic flux (This is the amount of magnetic field present on the surface)
- t = time
Applications of Electromagnetic Induction
- Electromagnetic induction in AC generator
- Electrical Transformers
- Magnetic Flow Meter