An alternating voltage `V = 100 sin omega t` is applied across an `LCR` circuit as shown. At the instant when voltage drop across source is `50 sqrt(3)` volts then at that instant
`R = 30 Omega" "X_(L ) = 60 Omega" "X_(C ) = 20 Omega`

Options

A. voltage drop across inductor is `(120 cos 7^(@))` volts
B. voltage drop across capacitor is `(40 cos 173^(@))` volts
C. voltage drop across resistor is `(60 cos 7^(@))` volts
D. All the above

Answer

D

Explanation

`i_(0) = (V_(0))/(sqrt(R^(2) + (X_(L) - X_(C ))^(2)) )= (100)/(50) = 2 A`
Peak value of voltages
`|vec(V_(R ))| - i_(0) R = 60 V`
`|vec(V_(L))| = i_(0) X_(L) = 120 V`
`|vec(V_(C))| = i_(0) X_(C ) = 40 V`
Phasor diagram at the instant given
Instantaneous values are components on + y-axix.