full wave rectifier

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ANALOG ELECTRONICS ASSIGNMENT (EE001-3-2- NAME : MAULANA AJI MARWANTO ID NUMBER : TP017422 INTAKE CODE : UC2F0909ME SUBMISSION DATE : 28 JANUARY 2010 LECTURER NAME : HARIKRISHNAN RAMIAH

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Page 1: Full Wave Rectifier

ANALOG ELECTRONICS ASSIGNMENT (EE001-3-2-AE)

NAME : MAULANA AJI MARWANTO

ID NUMBER : TP017422

INTAKE CODE : UC2F0909ME

SUBMISSION DATE: 28 JANUARY 2010

LECTURER NAME : HARIKRISHNAN RAMIAH

Page 2: Full Wave Rectifier

SCHEMATIC

Figure1: Schematic circuit

Calculation for R1 and R3

Ideal OPAMP condition (virtual ground) V +¿≅ V−¿≅ 0 ¿¿

Apply KCL to the inverting node:

I ¿+ I out+ I−¿=0¿

V−¿−V ¿

R1

+V−¿−VOut

R3

+0=0¿¿

0−V ¿

R1

+0−V OutR3

+0=0

−V OutR3

=V ¿

R1

V OutV ¿

=−R3

R1

Calculation for R2

Ideal OPAMP condition (virtual ground) V +¿≅ V−¿≅ 0 ¿¿

Apply KCL to the non-inverting node

V +¿−V ¿

R2

+0+0=0¿

V +¿

R2

=V ¿

R2

¿

V OutR2

=V ¿

R2

V OutV ¿

=R2

R2

V OutV ¿

=1

Calculation for C1

1R A3C1

C1<1

RA 3(2 f )

C1<1

75(2×6 0)

C1<1.11 x 10−4F

Calculation for C2

(R4+r )C2=π

C2=π

5 (2 f )1

(R4+r )

C2=π

5 (2x 60)1

(10 000+0 )

C2=52.3×10−6 F

C2=52.3μF

A1

A2

D2

D1

V15 Vrms 50 Hz 0°

R3

R2

R1

0 1312

6

7

08

A3

D4

C2

R4

D3C1

6

0

7

8

1

Page 3: Full Wave Rectifier

V1

12 Vrms 60 Hz 0°

R1

10kΩ

R2

10kΩ

R3

10kΩ

R4

10kΩ

C13.3pF

D3D1N4148D4

D1N4148

D2

D1N4148

D1D1N4148

GND

GND

GND

C21µF

U1

LM107J

3

2

4

7

6 U3

LM107J

3

2

4

7

6

U2

LM107J

3

2

4

7

6

SIMULATION RESULT

Figure 3: V out (simulation)

Figure 4: Vs out (simulation)

Figure 5: V peak (simulation)

Calculation for C1

1R A3C1

C1<1

RA 3(2 f )

C1<1

75(2×6 0)

C1<1.11 x 10−4F

Calculation for C2

(R4+r )C2=π

C2=π

5 (2 f )1

(R4+r )

C2=π

5 (2x 60)1

(10 000+0 )

C2=52.3×10−6 F

C2=52.3μF

Figure 2: Simulation circuit

Page 4: Full Wave Rectifier

R1A1

A2 A3

C2

D4

R4

D3C1R3

R2

D2D1

HARDWARE OUTPUT

1 box in the oscilloscope is equal with 1 s. The frequency difference from simulation and the practical is:

f ¿=11=1Hz

f prac=1

3 s=0.33Hz

Figure 7: V out (practical)

Figure 8: Vs out (practical)

Figure 9: V peak (practical)

Figure 6: Schematic circuit

Page 5: Full Wave Rectifier

A2V1

5 Vrms 50 Hz 0°

R2

0

123

A1

A2

D2V15 Vrms 50 Hz 0°

R3

R1

0

0

61 2

3

4

A1

A2

D2

D1

V15 Vrms 50 Hz 0°

R3

R20

0

1

2

3

4

5

A1

A2D2

D1

V15 Vrms 50 Hz 0°

R1

0

2

03

45

1

EXPLANATION

Positive half cycle on the AC signal

When positive input voltage signal going to OP-AMP A1 the output in A1 is inverted to the negative output

signal voltage. The negative voltage signal is now able to pass through to the D1 because the negative

voltage signal forward-biased and D2 is in Reverse-bias, so we don’t have some signals passing through on

the that place. Therefore, the negative signal will going back because there is a feedback to the inverting

input of A1 and change to positive signal voltage. And then the signal will pass through D2. This signal

will be same at Vout because input for Op-Amp A2 that acts as a buffer is non-inverting.

When positive input voltage signal going to this part, the input voltage signal will go to OP-AMP A2

directly and will not pass through Diode (D2) because it’s an open circuit. Positive voltage signal can be

obtain in Vout.

Negative half cycle in the AC Signal

When negative input voltage signal going to the output in Op-Amp A1, it’s inverted to positive output

voltage signal. This voltage signal will pass to the D2, because of the Forward-biases diode. Then the

voltage signal will pass to Op-Amp A2, positive voltage signal can be obtain in Vout.

When negative input voltage signal will going straight away to OP-AMP A2 and will also pass through D2

and D1. This is because the negative voltage signal has Forward-biases at the D2 and D1. Both negative

voltage signals will feedback to the same path.

Page 6: Full Wave Rectifier

A3

D4

C2

R4

D3C1

6

0

7

8

1

Peak Detector

During the positive half-cycle the output of Op-Amp A3 is positive because the input is non-inverting.

Therefore, D3 is in Reverse-bias and D4 is in Forward-bias. C2 is charges through D4 until Vpeak reaches the

highest positive value of Vout. Ideally Vout will be decay or discharge as fast as the envelope of Vout changes.

That decay will be through the R4 and D3. And because of this decay, there is a small peak formed in signal

wave.

CONCLUSION

Full wave Rectifier operational amplifier with peak detector circuit is the circuit that has a function to

detect the amplitude of audio signal.

During the assignment, we must do the calculation well, because if we don’t do that we can’t reach the

signal waveform that we suppose to find them in the basic shape of Full wave rectifier. And there are some

different output results if we compare from the simulation and the practical. It happen because of there aren’t a

same component when I search in the market .So, I used the different component in my practical.

Vout

Vpeak