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

Explain why the reactance provided by a capacitor to an alternating current decreases with increasing frequency. - Physics

Advertisements
Advertisements

प्रश्न

Explain why the reactance provided by a capacitor to an alternating current decreases with increasing frequency.

टीपा लिहा
Advertisements

उत्तर

A capacitor does not allow flow of direct current through it as the resistance across the gap is infinite. When an alternating voltage is applied across the capacitor plates, the plates are alternately charged and discharged. The current through the capacitor is a result of this changing voltage (or charge). Thus, a capacitor will pass more current through it if the voltage is changing at a faster rate, i.e. if the frequency of supply is higher. This implies that the reactance offered by a capacitor is less with increasing frequency; it is given by 1/ωC.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Alternating Current - MCQ I [पृष्ठ ४५]

APPEARS IN

एनसीईआरटी एक्झांप्लर Physics [English] Class 12
पाठ 7 Alternating Current
MCQ I | Q 7.25 | पृष्ठ ४५

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 current i1 = i0 sin ωt passes through a resistor of resistance R. How much thermal energy is produced in one time period? A current i2 = −i0 sin ωt passes through the resistor. How much thermal energy is produced in one time period? If i1 and i2 both pass through the resistor simultaneously, how much thermal energy is produced? Is the principle of superposition obeyed in this case?


An AC source producing emf ε = ε0 [cos (100 π s−1)t + cos (500 π s−1)t] is connected in series with a capacitor and a resistor. The steady-state current in the circuit is found to be i1 cos [(100 π s−1)t + φ1) + i2 cos [(500π s−1)t + ϕ2]. So,


The peak voltage of a 220 V AC source is


The dielectric strength of air is 3.0 × 106 V/m. A parallel-plate air-capacitor has area 20 cm2 and plate separation 0.10 mm. Find the maximum rms voltage of an AC source that can be safely connected to this capacitor.


A transformer has 50 turns in the primary and 100 in the secondary. If the primary is connected to a 220 V DC supply, what will be the voltage across the secondary?


Compare resistance and reactance.


A device Y is connected across an AC source of emf e = e0 sin ωt. The current through Y is given as i = i0 sin (ωt + π/2).

  1. Identify the device Y and write the expression for its reactance.
  2. Draw graphs showing a variation of emf and current with time over one cycle of AC for Y.
  3. How does the reactance of the device Y vary with the frequency of the AC? Show graphically.
  4. Draw the phasor diagram for device Y.

Average power supplied to a capacitor over one complete cycle is ______.


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

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.


An iron cored coil is connected in series with an electric bulb with an AC source as shown in figure. When iron piece is taken out of the coil, the brightness of the bulb will ______.


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.

In an ac circuit an alternating voltage e = 200\[\sqrt 2\] sin100t volts is connected to capacitor of capacity 1 µF. The r.m.s. value of the current in the circuit is ______.


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


A 10 µF capacitor is connected to a 210 V, 50 Hz source as shown in figure. The peak current in the circuit is nearly ______.

(π = 3.14)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×