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A voltage of 150V, 50Hz is applied to a coil of negligible resistance and inductance 0.2H. Write the time equation for voltage and current.
1 Answer
written 3.9 years ago by |
Given:
Coil resistance = 0 (approx)
L= 0.2H; VS = 150 V; f= 50Hz
To Find: i(t), v(t)
Step 1: Time equation for voltage
XL=2π×50×0.2=62.83 ΩVrms=150 V∴v(t)=Vmsinωt=212.13 sin(100πt) Volt
Step 2: Time equation for current
Peak current
Im=VmXL=212.1362.83=3.83 Amp
Due to purely inductive voltage, the current will lag behind voltage by 90° or by (π/2) radians.
i(t)=3.38sin(100πt−π2)Amp