In series LCR circuit `R=120 Omega` and it has resonant frequency `4000 rad//sec`. At resonance, the voltage across resistance and inductance is 60 V and 40 V respectively. Find the value of L and C in circuit.
1 Answers
Talk Doctor Online in Bissoy App
A series `AC` circuit has a resistance of `4 Omega` and a reactance of `3 Omega`. The impedance of the circuit is
`Z=sqrt(4^(2)+3^(2))=5 Omega`
2 Answers 1 views
In an LCR circuit, the capacitance is made one-fourth, when in resonance. Then what should be the change in inductance, so that the circuit remains in
Correct Answer - A At resonance `omegaL=1/(omegaC) rArr l prop 1/C`.
2 Answers 1 views
An `LCR` circuit has `L=10 mH,R=150 Omega` and `C=1 muF` connacted in series to a source of `150sqrt2 cos omegat` volt. At a frequency that is `50%` o
Correct Answer - 75 `f=50/100xxf_(r) , f=1/2xx1/(2pisqrt(LC)) , omega=1/(2sqrtLC)` `X=|omegaL-1/(omegaC)|=150` `I_(0)=V_(0)/z=(150sqrt2)/sqrt(R^(2)+x^(2)) , P_(CW)=i_(rms)V_(rms)cos phi=(I_(0)V_(0))/2xxR/Z=75 W`
2 Answers 1 views
An alternating voltage of frequency `f` is applied across a series `LCR` circuit.Le `f_(r)` be the resonance frequency for the circuit.Will the curren
`X_(L)=2pifL` and `X_(C)=1/(2pifC)` (i)When `f gt f_(r),X_(L)` is large and `X_(C)` is small.The circuit is induction current lags behind the applied voltage. (ii)When `fltf_(r),X_(L)` is small and `X_(C)` is large.The...
2 Answers 2 views
Obtain the resonant frequency and Q – factor of a series LCR circuit with L = 3H, C = `27muF, " " R = 7.4Omega`. It is desired to improve the sharpnes
` because " resonant frequency for LCR circuit is given by " v_(0) = (1)/(2pisqrt(lc))` ` = (1)/(2 xx 3.14 sqrt(3 xx 27 xx 10^(-6)))` = 17.69 Hz `" or...
2 Answers 1 views
If `y_(1)=max||z-omega|-|z-omega^(2)||`, where `|z|=2` and `y_(2)=max||z-omega|-|z-omega^(2)||`, where `|z|=(1)/(2)` and `omega` and `omega^(2)` are c
Correct Answer - C `(c )` We have `||z_(1)|-|z_(2)|| le |z_(1)-z_(2)|` and equality holds only when `argz_(1)=argz_(2)` `implies||z-w|-|z-w^(2)|| le |w^(2)-w| le sqrt(3)` and equality canhold only when `|z|=2` and not when...
2 Answers 1 views
A series circuit consists of a resistance of `15 Omega`, an inductance of 0.08H and a capacitor of capacitance `30 mu F`. The applied voltage has freq
Correct Answer - `60.65^(@)` lead
2 Answers 1 views
An 220V AC voltage at a frequency of 40 cycles/s is applied to a circuit containing a pure inductance of 0.01H and a pure resistance of `6 Omega` in s
Correct Answer - `(a) 33.83 mA (b) 202.98 V (c ) 96.83 V (d) 0.01579 s`
2 Answers 1 views
Determine the voltage drop across the resistance `R_(1)` in the circuit given in Fig. 4.55 with `epsilon=90 V, R_(1)=5 k Omega, R_(2)=5k Omega, R_(3)=
Correct Answer - `50 V`
2 Answers 1 views
Convert the following angle from radian to degree `{:((a)(pi)/(4)"red",(b)(pi)/(6)"rad"),((c)(pi)/(3)"rad",(d)(3pi)/(4)"rad"),((e)(7pi)/(6)"rad",(f)(5
Correct Answer - `{:((a)45^(@),(b)30^(@),(c)60^(@)),((d)135^(@),(e)210^(@),(f)225^(@)),((g)450^(@),(h)315^(@),(i)300^(@)):}`
2 Answers 1 views