An electrical device draws 2kW power from AC mains (voltage 223V (rms) = 50,000 V). The current differs (lags) in phase by φ (tan φ = -3/4) as compared to voltage.
Find (i) R,
(ii) $X_{c}-X_{l}$,
and (iii) $I_{M}$. Another device has twice the values for $R$, $X_{C}$ and $X_{L}$. How are the answers affected?
An electrical device draws 2kW power from AC mains (voltage 223V (rms) = 50,000 V). The current differs (lags) in phase by φ (tan φ = -3/4) as compared to voltage.
Find (i) R,
(ii) $X_{c}-X_{l}$,
and (iii) $I_{M}$. Another device has twice the values for $R$, $X_{C}$ and $X_{L}$. How are the answers affected?

Impedance is given as Z = 25 ohms

$635=25R^{2}/16$

a) Resistance can be calculated as,

$R=\sqrt 25\times 16=\sqrt 400=20 ohms$

b) $X_{c}-X_{l}=-3R/4=-15ohms$

c) Main current will be $I_{m}=12.6A$