Alternating CurrentHard
Question
In an AC circuit an alternating voltage e = 200√2 sin 100 t volts is connected to a capacitorof capicity 1μ F . The r.m.s value of the current in the circuit is
Options
A.10 mA
B.100 mA
C.200 mA
D.20 mA
Solution
The given equation of alternating voltage is e = 200 √2 sin100t .......(i)
The standard equation of alternating voltage is e = e0 sinωt .......(ii)
Comparing (i) and (ii), we get
e0 = 200√2 V, ω = 100 rad s-1
The capactive reactance is
The r.m.s value of the current in the circuit is
= 200 × 100 × 10-6 A = 2 × 10-2 A = 20 mA
The standard equation of alternating voltage is e = e0 sinωt .......(ii)
Comparing (i) and (ii), we get
e0 = 200√2 V, ω = 100 rad s-1
The capactive reactance is
The r.m.s value of the current in the circuit is
= 200 × 100 × 10-6 A = 2 × 10-2 A = 20 mA
Create a free account to view solution
View Solution FreeMore Alternating Current Questions
The r.m.s. value of alternating current is :...The peak value of an alternating current is 5 A and frequency is 60 Hz. How long will the current, starting from zero, t...In an AC circuit the maximum value of voltage is 423 volt, Its effective voltage is :-...In a series resonant LCR circuit, the voltage across R is 100 volts and R = 1 kΩ with C = 2μF. The resonant fr...A bulb is rated of 100 V, 100W, it can be treated as a resistor. Find out the inductance of an inductor (called choke co...