What is the answer to solvefor C,f= 1/(2pisqrt(LC)) ?

The answer to solvefor C,f= 1/(2pisqrt(LC)) is C= 1/(4pi^2Lf^2)

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solvefor C,f= 1/(2pisqrt(LC))

solve for

C, f = \frac{1}{2 π L C}

C = \frac{1}{4 π ^{2} L f ^{2}}

Solution steps

f = \frac{1}{2 π L C}

Multiply both sides by

2 π L C

f \cdot 2 π L C = \frac{1}{2 π L C} \cdot 2 π L C

Simplify

f \cdot 2 π L C = 1

Divide both sides by

f \cdot 2 π

L C = \frac{1}{f \cdot 2 π}

Square both sides:

L C = \frac{1}{4 π ^{2} f ^{2}}

L C = \frac{1}{4 π ^{2} f ^{2}}

Solve

L C = \frac{1}{4 π ^{2} f ^{2}} : C = \frac{1}{4 π ^{2} L f ^{2}}

C = \frac{1}{4 π ^{2} L f ^{2}}

4 x + 4 = 10 x + 10

4 x - 3 = 2 x - 3

3 = x^{- \frac{2}{3}}

3 x + 3 = 9 x + 1

x - 4 = 3

What is the answer to solvefor C,f= 1/(2pisqrt(LC)) ?
The answer to solvefor C,f= 1/(2pisqrt(LC)) is C= 1/(4pi^2Lf^2)