Question

Assuming L = 1H, C = 0.022μF, R = 270⌦, and Vpeak = 3.0 V for the source, find the expected Vrms across the resistor when f = f0. You will actu- ally see a voltage less than this because of the resis- tance of the Heath solenoid.

Answer 1

Answer: In the given question,

$L=1H$

C 0.022μ F =

$R=270\Omega$

$V_p=3.0V$

Net impedance in the LCR circuit will be, $Z=\sqrt{R^2+(X_L-X_C)^2}$

where, $X_L=2\pi f_0 L$ and $X_C=\frac{2\pi}{ f_0 C}$

The current in the circuit will be, $i=V_p/Z$.

Therefore, peak value of voltage drop in the resistor will be, $V_{pp}=iR$

and $V_{rms}=0.35V_{pp}$

in the given question the value of $f_0$ is not provided, please use above steps for the calculation.