A coil of inductance 0.50 H and resistance `100 Omega` is connected to a 240 V, 50 Hz ac supply. What is the maximum current in the coil?

Explanation

L = 0.5 H
`R = 50Omega`
` E_v= 200 V`
v = 50 Hz
`Z=sqrt(R^2+X_L^2)`
`sqrt(R^2+(2pivL)^(2))`
`Z = sqrt((50)^2+(2xx3.14xx50xx0.5)^2)`
`sqrt(2500+(157)^(2))`
`sqrt(2500+24649)`
`Z = sqrt(27149)=164.76Omega`
`I_v =E_v/Z=200/(164.76)=1.214A`
`I_v=I_0/sqrt2`
`I_0=sqrt2xxI_v=1.414xx1.214`
`I_0 = 1.71 A`