A circuit has a coil of resistance 60 ohm and inductance 3 henry. It is connected in series with a capacitor of `4 mu F` and `A.C` supply voltage of `200 V` and 50 `"cycle"//"sec"`

Options

A. the impedance of the coil is `943 Omega`
B. the impedance of the coil is `843 Omega`
C. the p.d. across the inductor coil is `1110V`
D. the p.d. across the capacitor is `924 V`

Answer

A,C,D

Explanation

`Z = sqrt(R^(2) + (X_(L) - X_(C ))^(2)) , I_("rms") = (V)/(2)`
Impedance of coil `= Z_(1) = sqrt(R^(2) + X_(L)^(2))`
Potential drop across the coil
`= I_("rms") Z_(1) = I_("rms") sqrt(R^(2) + X_(L)^(2))`
Potential drop across capacitor `= V_(c ) = I_("rms") X_(C )`