W=√1/LC, for L, electricity formula.
W=√1/LC
W^2 = 1/LC
LCW^2 = 1
L = 1/CW^2
To solve for L in the equation W = √(1/LC), we can follow these steps:
Step 1: Square both sides of the equation to eliminate the square root:
W^2 = 1/(LC)
Step 2: Multiply both sides of the equation by LC to isolate the term containing L:
W^2 * LC = 1
Step 3: Divide both sides of the equation by W^2 to solve for LC:
LC = 1/W^2
Step 4: Divide both sides of the equation by C to solve for L:
L = 1/(C * W^2)
Therefore, the formula to find L in terms of W, C, and the constants is L = 1/(C * W^2).
It's worth noting that the equation you provided represents the formula for the angular frequency (W or ω) of an LC circuit, where L is the inductance and C is the capacitance. This formula relates the angular frequency to the inductance and capacitance in the circuit.