Question
AC Voltage
An AC voltage of the form V = Vmax sin 2pft , with frequency 12 Hz and maximum voltage
390 V, is applied across an 11 W light bulb. When the voltage is ?rst applied, what is
the current through the circuit?
1. the maximum current
2. 0
3. the rms current
(part 2 of 3)
When t = T/4, where T is the period of the applied voltage, what is the current in the
circuit?
Answer in units of A.
Part 3.
What is the rms current in the circuit?
Answer in units of A.
390 V, is applied across an 11 W light bulb. When the voltage is ?rst applied, what is
the current through the circuit?
1. the maximum current
2. 0
3. the rms current
(part 2 of 3)
When t = T/4, where T is the period of the applied voltage, what is the current in the
circuit?
Answer in units of A.
Part 3.
What is the rms current in the circuit?
Answer in units of A.
Answers
Data in question is inappropriate resistance of bulb is needed or at least the rating of the bulb.
1. V=Vmax{sin[(2pi)ft]}
When the current is first applied, t=0. sin(0)=0 so the current through the circuit is zero.
2. When t=T/4, what is the current in the circuit?
You know that frequency(f)= 1/T so substitute this into the formula.
V=Vmax{sin[2pi(1/T)(T/4)]}
V=Vmax{sin(pi/2)} = Vmax
so Vmax=390V
Power(P) = (Imax)(Vmax)/2
Imax = 2P/Vmax = 2(11W)/390V
3. Irms = Imax/sqrt(2)
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