मराठी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

Suppose the initial charge on the capacitor is 6 mC. What is the total energy stored in the circuit initially? What is the total energy at later time? - Physics

Advertisements
Advertisements

प्रश्न

Suppose the initial charge on the capacitor is 6 mC. What is the total energy stored in the circuit initially? What is the total energy at later time?

संख्यात्मक

उत्तर

Capacitance of the capacitor, C = 30 μF = 30 × 10−6 F

Inductance of the inductor, L = 27 mH = 27 × 103 H

Charge on the capacitor, Q = 6 mC = 6 × 103 C

Total energy stored in the capacitor can be calculated by the relation,

`"E" = 1/2 "Q"^2/"C"`

= `1/2 xx (6 xx 10^-3)^2/(30 xx 10^-6)`

= `6/10`

= 0.6 J

Total energy at a later time will remain the same because energy is shared between the capacitor and the inductor.

shaalaa.com
Different Types of AC Circuits: AC Voltage Applied to a Capacitor
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Alternating Current - Exercise [पृष्ठ २६६]

APPEARS IN

एनसीईआरटी Physics [English] Class 12
पाठ 7 Alternating Current
Exercise | Q 7.8 | पृष्ठ २६६
एनसीईआरटी Physics [English] Class 12
पाठ 7 Alternating Current
Exercise | Q 7.08 | पृष्ठ २६६

संबंधित प्रश्‍न

A 2 µF capacitor, 100 Ω resistor and 8 H inductor are connected in series with an AC source.
(i) What should be the frequency of the source such that current drawn in the circuit is maximum? What is this frequency called?
(ii) If the peak value of e.m.f. of the source is 200 V, find the maximum current.
(iii) Draw a graph showing variation of amplitude of circuit current with changing frequency of applied voltage in a series LRC circuit for two different values of resistance R1 and R2 (R1 > R2).
(iv) Define the term 'Sharpness of Resonance'. Under what condition, does a circuit become more selective?


Show that the current leads the voltage in phase by π/2 in an AC circuit containing an ideal capacitor ?


When an AC source is connected to a capacitor, there is a steady-state current in the circuit. Does it mean that the charges jump from one plate to the other to complete the circuit?


A capacitor acts as an infinite resistance for ______.


The peak voltage of a 220 V AC source is


An AC source is rated 220 V, 50 Hz. The average voltage is calculated in a time interval of 0.01 s. It


A bulb rated 60 W at 220 V is connected across a household supply of alternating voltage of 220 V. Calculate the maximum instantaneous current through the filament.


Compare resistance and reactance.


A.C. power is transmitted from a power house at a high voltage as ______.


The frequency of A.C. mains in India is ______.

A capacitor has capacitance C and reactance X, if capacitance and frequency become double, then reactance will be ______.


An alternating current of 1.5 mA and angular frequency 300 rad/sec flows through a 10 k Ω resistor and a 0.50 µF capacitor in series. Find the rms voltage across the capacitor and impedance of the circuit.


When an AC voltage of 220 V is applied to the capacitor C ______.

  1. the maximum voltage between plates is 220 V.
  2. the current is in phase with the applied voltage.
  3. the charge on the plates is in phase with the applied voltage.
  4. power delivered to the capacitor is zero.

A device ‘X’ is connected to an a.c source. The variation of voltage, current and power in one complete cycle is shown in figure.

  1. Which curve shows power consumption over a full cycle?
  2. What is the average power consumption over a cycle?
  3. Identify the device ‘X’.


In the LCR circuit shown in figure, the ac driving voltage is v = vm sin ωt.

  1. Write down the equation of motion for q (t).
  2. At t = t0, the voltage source stops and R is short circuited. Now write down how much energy is stored in each of L and C.
  3. Describe subsequent motion of charges.


Define Capacitive reactance.


A resistor of 50 Ω, a capacitor of `(25/pi)` µF and an inductor of `(4/pi)` H are connected in series across an ac source whose voltage (in volts) is given by V = 70 sin (100 πt). Calculate:

  1. the net reactance of the circuit
  2. the impedance of the circuit
  3. the effective value of current in the circuit.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×