an inductor of reactance 4ohm and resisistance 3ohm arw connected in series with 100volt ac supply find wattless current in circuit
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Answer:
Explanation:
Potential difference = equivalent resistance × induced current
Given: V=100 volt,
Req=4+3=7 ohm
V=IF
100=I×7
I=100/7
therefore current in circuit is 100/7 ampere
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The wattless current in the circuit is 16 amperes.
Given,
An inductor of reactance 4ohm and resistance 3ohm are connected in series with the 100-volt ac supply.
To Find,
The wattless current in the circuit.
Solution,
The formula for calculating the wattless current is
Wattless current = I rms*sinΦ
Now,
Z = √(3²+4²) = √25 = 5 Ω
Now,
I rms = Vrms/Z = 100/5 = 20 amperes
Now,
cosΦ = R/Z = 3/5
So,
sinΦ = 4/5
Now,
Wattless current = 20*4/5 = 16 amperes
Hence, the wattless current in the circuit is 16 amperes.
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