The impedance (Z) of a capacitor can be calculated using the formula:

Z = 1 / (2πfC)

where:
- f is the frequency (in Hertz)
- C is the capacitance (in Farads)

In this case, f = 50Hz and C = 47µF = 47 * 10^-6 F.

So, the impedance is:

Z = 1 / (2π * 50Hz * 47 * 10^-6 F)

Now, calculate the value inside the parentheses:

2π * 50Hz * 47 * 10^-6 F = 0.0148

Then, calculate the impedance:

Z = 1 / 0.0148 = 67.35 Ohms

So, the magnitude of the impedance of a 47 micro Farad capacitor at 50Hz is approximately 67.35 Ohms.

Question

The impedance (Z) of a capacitor can be calculated using the formula:

Z = 1 / (2πfC)

where:
- f is the frequency (in Hertz)
- C is the capacitance (in Farads)

In this case, f = 50Hz and C = 47µF = 47 * 10^-6 F.

So, the impedance is:

Z = 1 / (2π * 50Hz * 47 * 10^-6 F)

Now, calculate the value inside the parentheses:

2π * 50Hz * 47 * 10^-6 F = 0.0148

Then, calculate the impedance:

Z = 1 / 0.0148 = 67.35 Ohms

So, the magnitude of the impedance of a 47 micro Farad capacitor at 50Hz is approximately 67.35 Ohms.

Knowee AI · Accepted Answer