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Ohm’s Law = V = I R

In a purely capacitive
AC circuit, V = I XC
V
I=
   R
V
I=
   Xc
V
Xc =
     I
Example 1:
A capacitor connected across a 50V AC 400Hz
supply causes a current of 10mA. What is
it’s capacitance value?


              XC 
=
V / I

 
               = 50 / 10 x 10-3

 
               =
5 kΩ
XC 
 
1 / 2 π f C
     =
∴
C
 =
1 / 2 π f XC

 
 =
1 / 2 x 3.1416 x 400 x (5 x 103)

 
 =
7.96 x 10-8 F

 
 =
79.6nF or 0.08 μF

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3.3.5 Determining Circuit Para

  • 1. Ohm’s Law = V = I R In a purely capacitive AC circuit, V = I XC
  • 2. V I= R
  • 3. V I= Xc
  • 4. V Xc = I
  • 5. Example 1: A capacitor connected across a 50V AC 400Hz supply causes a current of 10mA. What is it’s capacitance value? XC = V / I = 50 / 10 x 10-3 = 5 kΩ
  • 6. XC 1 / 2 π f C = ∴ C = 1 / 2 π f XC = 1 / 2 x 3.1416 x 400 x (5 x 103) = 7.96 x 10-8 F = 79.6nF or 0.08 μF