Home
Class 12
PHYSICS
A parallel plate capacitor made of circu...

A parallel plate capacitor made of circular plates each of radius `R= 6.0` cm has a capacitance `C = 100pF`. The capacitor is connected to a `230 V AC` supply with a ( angular) frequency of `300 rad//s`
(a) What is the rms value of the conduction current ?
(b) Is the conduction current equal to the displacement current?
(c) Determine the amplitude of `B` at a point `3.0 cm` from the axis between the plates.
.

Text Solution

Verified by Experts

A radio can tune to minimum frequency , `v_(1)=7.5MHz=7.5xx10^(6)Hz`
Maximum frequency, `v_(2)=12MHz=12xx10^(6)Hz`
Speed of light, c`=3xx10^(3)m//s`
Corresponding wavelength for `v_(1)` can be calclated as:
`gamma_(1)=(c)/(v_(1))`
`=(3xx10^(8))/(7.5xx10^(6))=40m`
Corresponding wavelength for `v_(2)` can be calculated as:
`gamma_(2)=(c)/(v_(2))`
`=(3xx10^(8))/(12xx10^(6))=25m`
Thus, the wavelength band of the radio is 40m to 25m.
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC WAVES

    NCERT|Exercise Exercise|15 Videos

  • ELECTROMAGNETIC INDUCTION

    NCERT|Exercise Exercise|17 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    NCERT|Exercise Exercise|37 Videos

Similar Questions

Explore conceptually related problems

A parallel plate capacitor made of circular plates each of radius 10 cm has a capacitance 200pF . The capacitor is connected to a 230V a.c. supply with an angular frequency of 400rads^-1 . (i) What is the r.m.s. value of the conduction current? (ii) Find the amplitude of vecB at a point 2.0 cm from the axis of the plates.

A parallel capacitor made of circular plates radius 10.0 cm has a capacitance of 200 pF. The capacitor is connected to a 200 a.c. supply with an angular frequency of 200 "rad"" "s^(-1). (i) What is the r.m.s. value of conduction current (ii) Is the conduction current equal to displacement current? (iii) Find peak value of displacement current ? (iv) Determine the amplitude of magnetic field at a point 2.0cm from the axis between the plates.

A parallel plate capacitor having capacitance of 300 p F. The capacitor is connected to a 300 V supply with an angular frequency of 300 rad/s. (a) What is the rms value of conduction current? (b) Find the peak value of displacement current.

A parallel plate capacitor made of circular plates each of redius R=12.0 cm has a capacitance of 100 pF. It is connected to an a.c. source of 220 V, 50 Hz. (a) Find the rms value of the conduction current (b) Is the conduction current equal to the displacement current (c) Determine the amplitude of vecB at a point 6.0 cm from the axis between the plates.

A circuit containing a 20 Omega resistor and 0.1 muF capacitor in series is connected to 230 V a.c. supply of angular frequency 100 rads^(-1) What is the impedance of the circuit?

A parallel plate capacitor C=0.2muF is connected across an a.c. source of angular frequncy 400rads^-1 . The value of conduction current is 2mA. Find the rms value of the voltage from the source and the displacement current in the region between the two plates.

A parallel plate capacitor made of two circular plates each of radius 10 cm and separated by 4.0mm. The capacitor is being charged by an external source. The charging current is constant and equal to 0.10A. Calculate (i) the capacitance (ii) the rate of change of potential difference between the plates (iii) the displacement current.

A paprallel plate capacitor of capacitance C=0.1 mu F is connected across on a.c. source of (angular) frequency 500 "rad"s^(-1). the value fo conduction current is 1m A. What is the rms value of the voltage from the source ? What is the displacement current across the capacitor plates?