Home
Class 12
PHYSICS
A 100muF capacitor in series with a 40Om...

A `100muF` capacitor in series with a `40Omega` resistance is connected to 110 V, 60 Hz supply .
a. What is the maximum current in the circuit ?
b. What is the time lag between the current maximum and the voltage maximum ?

Text Solution

Verified by Experts

Data supplied `C = 100 mu F, R = 40 Omega , E_(rms) = 110 V , v = 69Hz`
` E_0 = E_(rms) xx sqrt(2) = 110 xx 1.414 = 155.6 V`
a. ` i_m (E_0)/(Z) = (E_0)/(sqrt(R^2 + ( (1)/(omega C) )^2)) = (155.6 )/(sqrt(40^2 + ( (1)/(10^(-4) xx 2 xx 3.14 xx 69) )^2) ) = 3.242 A`
b. ` tan phi = (1)/(omega CR)`
` tan phi = (1)/(10^(-4) xx 2 xx 3.14 xx 69 xx 40) = 0.6635`
`phi = tan^(-1) (0.6635) = 30.11^@ = 30^@ = (30 xx pi)/(180) = pi/6`
`phi = omega t , t = phi/omega = (pi)/(6 xx 2 xx pi xx 69) = 1.21 xx 10^(-3) s = 1.21 ms `
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO EXERCISES FROM NCERT TEST|24 Videos

  • ALTERNATING CURRENT

    NEW JOYTHI PUBLICATION|Exercise PRACTICE PROBLEMS FOR SELF ASSESSMENT|11 Videos

  • ATOMS

    NEW JOYTHI PUBLICATION|Exercise COMPETITIVE EXAM CORNER|5 Videos

Similar Questions

Explore conceptually related problems

A coil of inductance 0.50 H and resistance 100Omega is connected to a 240 V, 50 Hz ac supply. a. What is the maximum current in the coil? . b. What is the time lag between the voltage maximum and the current maximum?

A 100 Omega resistor is connected to a 220 V , 50 Hz are supply . a. What is the rms of current in the circuit ? b. What is the net power consumed over a full cycle ?

A 44mH inductor is connected to 220V, 50 Hz ac supply . Determine the rms value of the current in the circuit .

What is the maximum ac voltage in our household circuit?

A coil of inductance 0.1H and resistance 100 Omega are connected to a 210V, 50Hz AC supply. Find the maximum current in the coil and time lag between maximum voltage and maximum current.

A 60muF capacitor is connected to a 110V, 60 Hz ac supply , determine the rms value of the current circuit .

a. The peak voltage of an ac supply is 300V. What is the rms voltage ? b. The rms value of current in an ac circuit is 10A. What is the peak current ?

A circuit containing a 80 mH inductor and a 60muF capacitor in series is connected to a 230 V, 50 Hz supply. The resistance of the circuit is negligible. a. Obtain the current amplitude and rms values. b. Obtain the rms values of potential drops across each element. c. What is the average power transferred to the inductor? d. What is the average power transferred to the capacitor? e. What is the total average power absorbed by the circuit? ['Average' implies "averaged over one cycle'.]

A battery of emf 10 V and internal resistance 3Omega is connected to a resistor. The current in the circuit is 0.5A. The terminal voltage of the battery when the circuit is closed is