In an `AC` series circuit, `R = 10 Omega, X_L=20Omega` and `XC=10Omega`.Then, choose the correct options

Options

A. Voltage function will lead the current function
B. Total impedance of the circuit is `10sqrt2Omega`
C. Phase angle between voltage function and current function is `45^@`
D. Power factor of circuit is `1/sqrt2`

Answer

A, B, C, D

Explanation

(a) `X_LgtX_C`, hence voltage function will lead the current function.
(b) `Z=sqrt(R^2+(X_L+X_C)^2)`
`=sqrt((10^2)+(20-10)^(2))`
`=10sqrt2Omega`
(c) `cosphi=R/Z=1/sqrt2`
Hence `phi=45^@`
(d) Power factor `=cosphi=R/Z=1/sqrt2`.