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
The alternating current \( I \) in an inductor is observed to vary with time \( t \) as shown in the graph for a cycle.
Which one of the following graphs is the correct representation of wave form of voltage \( V \) with time \( t \)?}
- CBSE CLASS XII - 2025
- Physics
- Alternating Current Circuits
- Which of following is true in a LCR circuit?
(A) In purely inductive circuit (R = 0), Quality factor is infinite.
(B) Resistance 'R' is alone responsible for damping of oscillations.
(C) Discharge of capacitor is not oscillatory in character.
(D) Q-factor is measure of sharpness of resonance in case of a driven oscillator.
Choose the correct answer from the options given below:- CUET (PG) - 2025
- Geophysics
- Alternating Current Circuits
- For an ac source rated at 220 V, 50 Hz, which of the following statements is correct?
- CUET (UG) - 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
- 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
- Two cities X and Y are connected by a regular bus service with a bus leaving in either direction every T min. A girl is driving scooty with a speed of 60 km/h in the direction X to Y. She notices that a bus goes past her every 30 minutes in the direction of her motion, and every 10 minutes in the opposite direction. Choose the correct option for the period T of the bus service and the speed (assumed constant) of the buses.
- NEET (UG) - 2025
- Relative Velocity
- A physical quantity P is related to four observations a, b, c, and d as follows: P = a3 b2 (c / √d) The percentage errors of measurement in a, b, c, and d are 1%, 3%, 2%, and 4% respectively. The percentage error in the quantity P is:
- NEET (UG) - 2025
- Dimensional analysis and its applications
What is Microalbuminuria ?
- NEET (UG) - 2025
- Human physiology
The output (Y) of the given logic implementation is similar to the output of an/a …………. gate.
- NEET (UG) - 2025
- Logic gates
- An oxygen cylinder of volume 30 litre has 18.20 moles of oxygen. After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperature \(27^\circ\)C. The mass of the oxygen withdrawn from the cylinder is nearly equal to: [Given, \(R = \frac{100}{12} \text{ J mol}^{-1} \text{K}^{-1}\), and molecular mass of \(O_2 = 32 \text{ g/mol}\), 1 atm pressure = \(1.01 \times 10^5 \text{ N/m}^2\)]
- NEET (UG) - 2025
- Ideal-gas equation and absolute temperature
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