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Question

Physics Question on AC Voltage

An inductive circuit contains a resistance of 10Ω10\, \Omega and an inductance of 2.0H2.0\, H. If an ACAC voltage of 120V120\, V and frequency of 60Hz60\, Hz is applied to this circuit, the current in the circuit would be nearly

A

0.32A0.32\,A

B

0.16A0.16\,A

C

0.43A0.43\,A

D

0.80A0.80\,A

Answer

0.16A0.16\,A

Explanation

Solution

Impedence Z=R2+XL2Z=\sqrt{R^{2}+X_{L}^{2}}
=102+(2π×60×2)2=\sqrt{10^{2}+(2 \pi \times 60 \times 2)^{2}}
=0.016A=0.016\, A
\therefore Curren i=120753.7=0.159Ai=\frac{120}{753.7}=0.159 \,A