Final answer:
To find the inductance of an inductor connected to a 240v, 1kHz line with a current of 0.6A, use the formula L = V / (2π × f × I), substituting the known values to solve for L in henries.
Step-by-step explanation:
To calculate the inductance of an inductor in henries, we can use the formula that relates the inductance (L), current (I), frequency (f), and the voltage (V) across the inductor when connected to an alternating current (AC) source:
V = L × 2π × f × I
Using the given values (240V for voltage, 1kHz or 1000Hz for frequency, and 0.6A for current), we can rearrange this formula to solve for L:
L = V / (2π × f × I)
Plugging in the numbers:
L = 240V / (2π × 1000Hz × 0.6A)
After the calculations, we will have obtained the inductance of the inductor measured in henries. Remember to check the units and conversions when performing your calculation.