Advertisements
Advertisements
प्रश्न
The potential difference across the resistor is 160V and that across the inductor is 120V. Find the effective value of the applied voltage. If the effective current in the circuit be 1.0 A, calculate the total impedance of the circuit.
Advertisements
उत्तर
eL = 120 V eL = i × L
eR = 160V eR = iR
`R = e/i = 160/1 = 160 Ω `
`X_L = 120/1 = 120 Ω `
`Z = sqrt(R^2 + X_L^2 `
` = sqrt ((160)^2 + (120)^2)`
` = sqrt( 25600 + 14400)`
` = sqrt(40000)`
`Z = sqrt( 4 xx 1.4 ) = 200 Omega`
Z = 200 Ω
effecience voltage
e = iZ
e = i × 200 = 200V
APPEARS IN
संबंधित प्रश्न
A series LCR circuit is connected across an a.c. source of variable angular frequency 'ω'. Plot a graph showing variation of current 'i' as a function of 'ω' for two resistances R1 and R2 (R1 > R2).
Answer the following questions using this graph :
(a) In which case is the resonance sharper and why?
(b) In which case in the power dissipation more and why?
In a series LCR circuit, obtain the condition under which the impedance of the circuit is minimum ?
A series LCR circuit is connected to a source having voltage v = vm sin ωt. Derive the expression for the instantaneous current I and its phase relationship to the applied voltage.
Obtain the condition for resonance to occur. Define ‘power factor’. State the conditions under which it is (i) maximum and (ii) minimum.
A solenoid having inductance 4.0 H and resistance 10 Ω is connected to a 4.0 V battery at t = 0. Find (a) the time constant, (b) the time elapsed before the current reaches 0.63 of its steady-state value, (c) the power delivered by the battery at this instant and (d) the power dissipated in Joule heating at this instant.
The current in a discharging LR circuit without the battery drops from 2.0 A to 1.0 A in 0.10 s. (a) Find the time constant of the circuit. (b) If the inductance of the circuit 4.0 H, what is its resistance?
What will be the potential difference in the circuit when direct current is passed through the circuit?
Draw a labelled graph showing a variation of impedance of a series LCR circuit with frequency of the a.c. supply.
Answer the following question.
What is the phase difference between the voltages across the inductor and the capacitor at resonance in the LCR circuit?
In an L.C.R. series a.c. circuit, the current ______.
Consider the LCR circuit shown in figure. Find the net current i and the phase of i. Show that i = v/Z`. Find the impedance Z for this circuit.
