An AC circuit contains a resistance of `40 Omega` and an inductance of `0.68` H and an alternating effective emf of 500 V at a frequency of 125 cycles/s. Then, the current in the circuit is

Options

A. 0.025 A
B. 0.25 A
C. 0.975 A
D. 1.5 A

Answer

C

Explanation

Given, `R=40Omega, L=0.68" H"`,
`E_("rms")=500" V",`
`t=120" cps"`
`l=(E_("rms"))/(Z)`
`=(E_("rms"))/(sqrt(R^(2)+omega^(2)L^(2)))`
`=(E_("rms"))/(sqrt(R^(2)+4pi^(2)f^(2)L^(2)))`
`=(500)/(sqrt((40)^(2)+4xx(3.14)^(2)xx(120)^(2)xx(0.68)^(2)))`
`=0.975" A"`