A coil of inductance 0.50 H and resistance 100 Ω is connected to a 240 V, 50 Hz ac supply. (a) What is the maximum current in the coil? (b) What is the time lag between the voltage maximum and the current maximum?
The inductance of the coil is 0.50H. The resistance of the coil is 100Ω The voltage supplied to the coil is 240V. a) The peak voltage supplied to the coil is given by: Vo=2V The maximum current through the coil is given by: Io=R2+ω2L2Vo Io=104+(100π×0.5)22×240 Io=1.3×10−2A b) The relation between the time lag and the inductance nad resistance of the coil is: tanϕ=RωL tanϕ=1002π×50×0.5 tanϕ=1.571 ⇒ϕ=57.5o ωt=57.5π/180 ⇒t=3.19×10−3s
