A bulb of resistance 10 ohm connected to an inductor of inductance L in series with an AC voltage source - Physics - Alternating Current

Question

A bulb of resistance 10 ohm connected to an inductor of inductance
L in series with an AC voltage source marked 100V , 50 Hz If the
phase angle between voltage and current is pi/4 radian , calculate
the value of L

Ravi Gupta · Accepted Answer

current the both the bulb and the inductor is samelet I
voltage across the bulb = v'= 10Ivoltage across the inductor v = 100-10Iand V = IXL = 100-10Iand we know tanϕ = XLR = 1ωL = 10L = 1050 = 0
5 Htan45 = XL/R= 1XL = R =10 ohmIXL = 100-10I20I = 100I = 5 A

A bulb of resistance 10 ohm connected to an inductor of inductance L in series with an AC voltage source marked 100V , 50 Hz . If the phase angle between voltage and current is pi/4 radian , calculate the value of L.