A single phase half-wave diode rectifier with L-load is shown in figure below-Take VS-230-2sin314t Volts-L-50 mHAverage value of output voltage V0 is Volts- Assume all devices to be ideal

When, D⇒ ON nbsp; nbsp; nbsp; V_0=V_s nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; n ...

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1-Phase Half Wave Rectifiers L Load

A single phas...

Question

A single phase half-wave diode rectifier with L-load is shown in figure below.

Take $V_{S} = 230 \sqrt{2} sin 314 t V o l t s, L = 50 m H$
Average value of output voltage $(V_{0})$ is________ Volts. (Assume all devices to be ideal)

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Solution

When, $D \Rightarrow O N$ $V_{0} = V_{s}$
$V_{0} = V_{m} s i n ω t$

$V_{0 (a v g)} = \frac{1}{2 π} \int_{0}^{2 π} V_{m} s i n ω t d ω t = \frac{V_{m}}{2 π} [- c o s ω t]_{0}^{2 π}$

$V_{0 (a v g)} = \frac{V_{m}}{2 π} [c o s 0 - c o s 2 π] = 0 V$

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A single phase half-wave diode rectifier with L-load is shown in figure below. Take VS=230√2sin314t Volts,L=50 mH Average value of output voltage (V0) is________ Volts. (Assume all devices to be ideal)

When, D⇒ ON V0=Vs V0=Vmsinωt V0(avg)=12π∫2π0Vmsinωt dωt=Vm2π[−cosωt]2π0 V0(avg)=Vm2π[cos0−cos2π]=0 V

A single phase half-wave diode rectifier with L-load is shown in figure below.

Take $V_{S} = 230 \sqrt{2} sin 314 t V o l t s, L = 50 m H$
Average value of output voltage $(V_{0})$ is________ Volts. (Assume all devices to be ideal)

When, $D \Rightarrow O N$ $V_{0} = V_{s}$
$V_{0} = V_{m} s i n ω t$

$V_{0 (a v g)} = \frac{1}{2 π} \int_{0}^{2 π} V_{m} s i n ω t d ω t = \frac{V_{m}}{2 π} [- c o s ω t]_{0}^{2 π}$

$V_{0 (a v g)} = \frac{V_{m}}{2 π} [c o s 0 - c o s 2 π] = 0 V$