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Circuit

The 32VRMS secondary of a transformer feeds a full wave rectifier and capacitor filter as shown in the circuit.

The peak-to-peak ripple of the output voltage of this circuit needs to be less than 1V when it delivers a current of 3A. A filter capacitor of about 30 000 uF is required. I need to find the frequency.

I am unsure of the formula for finding peak-to-peak ripple voltage of a full wave bridge rectifier.

Is this correct:

V(p-p) = I/(2*f*C)

Therefore, f = 50 Hz.

I am unsure because I have seen the equation:

V(p-p) = Vm/(2*f* R*C)

used.

Which equation is correct?

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    \$\begingroup\$ Have you tried to simulate it? Is this homework? \$\endgroup\$
    – winny
    Commented Jun 22, 2020 at 7:59
  • \$\begingroup\$ It's not homework, i am just confused which formula to use \$\endgroup\$
    – John
    Commented Jun 22, 2020 at 8:09
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    \$\begingroup\$ If you work at understanding the circuit from first principles you'll never have to remember the formulas or how to apply them. \$\endgroup\$
    – Spehro Pefhany
    Commented Jun 22, 2020 at 8:57
  • \$\begingroup\$ But i don't understand the circuit from first principles \$\endgroup\$
    – John
    Commented Jun 22, 2020 at 9:05
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    \$\begingroup\$ The first equation doesn't have any term denoting the load or the current drawn. A load which draws more current will definitely cause a bigger dip in the capacitor voltage. So first equation is probably wrong. In the second equation, there is an R in the denominator. A smaller R draws more current and hence more dip in the capacitor voltage. Hence the second equation is more likely correct. Derivations are usually given in most textbooks. \$\endgroup\$
    – AJN
    Commented Jun 22, 2020 at 12:32

1 Answer 1

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Vm/(2.f.R.C)=I/(2.f.C) as Vm/R =I where Vm is the max voltage

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