Advertisements
Advertisements
प्रश्न
An ideal inductor is connected across an AC source of voltage. The current in the circuit ______.
पर्याय
is ahead of the voltage in phase by π.
lags voltage in phase by π.
is ahead of voltage in phase by `pi"/"2`.
lags voltage in phase by `pi"/"2`.
Advertisements
उत्तर
An ideal inductor is connected across an AC source of voltage. The current in the circuit `underlinebb("lags voltage in phase by "pi"/"2)`.
Explanation:
`epsi = (-LdI)/(dt)`
`epsi_0 sinomegat = (-LdI)/(dt)`
In magnitude `(dI)/(dt) = epsi_0/L sinomegat`
On integrating both sides,
I = `intepsi_0/L sinomegat dt`
I = `epsi_0/L ((-1)/omega cosomegat)`
I = `-epsi_0/(Lomega) (cos omegat)`
I = `-epsi_0/(Lomega) sin(pi/2 - omegat)`
= `epsi_0/(Lomega) sin(omegat - pi/2)`
I = `I_0 sin(omegat - pi/2)`
Hence, current lags voltage in phase π/2.
APPEARS IN
संबंधित प्रश्न
The magnetic field energy in an inductor changes from maximum to minimum value in 5.0 ms when connected to an AC source. The frequency of the source is
An inductance of 2.0 H, a capacitance of 18μF and a resistance of 10 kΩ is connected to an AC source of 20 V with adjustable frequency.
(a) What frequency should be chosen to maximize the current in the circuit?
(b) What is the value of this maximum current?
Average power supplied to an inductor over one complete cycle is ______.
An inductive circuit contains resistance of 10 ohms and an inductance of 2 henry. If an A.C. voltage of 120 Volts and frequency 60 Hz is applied to this circuit, the current would be nearly ______.
An inductor of inductance L, a capacitor of capacitance C and a resistor of resistance ‘R’ are connected in series to an ac source of potential difference ‘V’ volts as shown in the figure.
The potential difference across L, C, and R is 40 V, 10 V and 40 V, respectively. The amplitude of the current flowing through the LCR series circuit is `10sqrt2 "A"`. The impedance of the circuit is:
In an AC circuit with a bulb and inductor, what happens to the bulb’s brightness when an iron rod is inserted into the inductor?
A 2 mH inductor is connected to 220 V, 50 Hz AC (X1) and then to DC (X2). Find X1 and X2.
The inductive reactance XL of a purely inductive circuit is given by ______.
Why does an inductor continuously oppose changes in current?
How does inductive reactance relate voltage amplitude to current amplitude?
