Questions: Find 1/(2πfc) ; f=4.25, c=9.5 × 10^-13

Solution Steps

We are given the values for \( f \) and \( c \):

• \( f = 4.25 \)
• \( c = 9.5 \times 10^{-13} \)

The expression we need to evaluate is: \[ \frac{1}{2 \pi f c} \]

Substitute the given values of \( f \) and \( c \) into the expression: \[ \frac{1}{2 \pi \times 4.25 \times 9.5 \times 10^{-13}} \]

First, calculate the product in the denominator: \[ 2 \pi \times 4.25 \times 9.5 \times 10^{-13} \]

Calculate \( 2 \pi \): \[ 2 \pi \approx 6.2832 \]

Now, calculate the entire denominator: \[ 6.2832 \times 4.25 \times 9.5 \times 10^{-13} \approx 2.5371 \times 10^{-12} \]

Now, calculate the reciprocal of the denominator: \[ \frac{1}{2.5371 \times 10^{-12}} \approx 3.9415 \times 10^{11} \]

Final Answer