Home
Class 12
PHYSICS
A capacitor of capacitive reactance 5ome...

A capacitor of capacitive reactance `5omega` is connected with A.C. source having voltage `V = 3 sin (omegat + pi//6)`. Find rms and Peak voltage rms and peak current and instantaneous current

Text Solution

Verified by Experts

On comparing with
`v=v_(0)sin(omegat+phi) rArr v_(0)=3`
`v_(rms)=v_(0)/sqrt(2)=3/sqrt(2) rArr I_(rms)=v_(rms)/x_(c)=3/(5sqrt(2))`
`I_(0)=v_(0)/x_(c)=3/5 rArr I(t)=I_(0)sin(omegat+pi/6+pi/2)`
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    MOTION|Exercise EXERCISE - 1|20 Videos

  • ALTERNATING CURRENT

    MOTION|Exercise EXERCISE - 2 (LEVEL - I)|19 Videos

  • 10 ROTATIONAL

    MOTION|Exercise Exercise - 4 (Level - II)|49 Videos

  • ATOMIC STRUCTURE & X-RAY

    MOTION|Exercise Exercise - 2|31 Videos

Similar Questions

Explore conceptually related problems

An inductor of inductance L = 5 H is connected to an AC source having voltage v = 10 sin(10t+pi/6) Find Peak & Rms voltage (V_(0)" & "V_(rms))

An inductor of inductance L = 5 H is connected to an AC source having voltage v = 10 sin(10t+pi/6) Find Peak & Rms current (I_(0)" & "I_(rms))

A resistor 20Omega , inductive reactance 15Omega and capacitive reactance 15Omega are connected in series to an AC voltage source V=200sqrt(2)sin omega t . Then the maximum current in the circuit is

a) Derive the expression for the current flowing in an ideal capacitor and its reactance when connected to an ac source of voltage V=V_0sin omegat b) Draw its phasor diagram. c) If resistance is added in series to capacitor what changes will occur in the current flowing in the circuit and phase angle between voltage and current.

A circuit consisting of a capacitor with capacitance C and a resistance R connected in series was connected at the moment t=0 to a source of ac voltage V=V_(m) cos omegat . Find the current in the circuit as a function of time t .

The peak voltage in a 220 V AC source is

A 50 Omega resistor is connected in series with an inductor of 0.2 H and capacitor with capacitive reactance 40 Omega . The combination is further connected to an AC source 180 V , 50 Hz. What will be the phase angle between current and voltage ? Also find the value of rms current in circuit.

A capacitor of capacitance 10 muF is connected to a 220 V , 30 Hz alternating current source . Calculate the peak value of voltage across the capacitor . Also calculate the rms value of current in the circuit .

A resistance of 40 Omega is connected in series with inductor of self-inductance 5 H and a capacitor of capacitance 80 mu F. This combination is connected to an AC source of rms voltage 220 V. frequency of AC source can changed continuously. What rms current flows in circuit in a state of resonance ?

An inductor coil and a capacitor and a resistance of 5Omega are connected in series to an a.c. source of rms voltage 30 V. When the frequency of the source is varied, a maximum r.m.s. current of 5 A is observed. If this inductor is connected in parallel with a resistance 5Omega to a battery of emf 25 V and internal resistance 2.0Omega , the current drawn from the battery is