Cutoff angle

Cutoff angle ( $\vartheta$ ${\ displaystyle \ vartheta}$ $\ vartheta$ , rad) is a value equal to the product of the angular frequency of the input voltage of the electronic device by the period of time during which the current changes from the maximum value to zero. Particular definition: cutoff angle - half the phase angle during which the electronic device is open, that is, a non-zero current flows through it.

The cutoff angle can be determined from the ratio $U_{0}+U_{m}\cos \vartheta =U_{\text{н}}$ ${\ displaystyle U_ {0} + U_ {m} \ cos \ vartheta = U _ {\ text {n}}}$ ${\ displaystyle U_ {0} + U_ {m} \ cos \ vartheta = U _ {\ text {n}}}$ ^[1] where $U_{0}$ ${\ displaystyle U_ {0}}$ $U_ {0}$ - constant component $U_{m}$ ${\ displaystyle U_ {m}}$ ${\ displaystyle U_ {m}}$ - amplitude of the input voltage of the electronic device $u(t)=U_{0}+U_{m}\cos(\omega t)$ ${\ displaystyle u (t) = U_ {0} + U_ {m} \ cos (\ omega t)}$ ${\ displaystyle u (t) = U_ {0} + U_ {m} \ cos (\ omega t)}$ , $U_{\text{н}}$ ${\ displaystyle U _ {\ text {n}}}$ ${\ displaystyle U _ {\ text {n}}}$ - cutoff voltage. Where from $\vartheta =\arccos((U_{\text{н}}-U_{0})/U_{m}).$ ${\ displaystyle \ vartheta = \ arccos ((U _ {\ text {н}} - U_ {0}) / U_ {m}).}$ ${\ displaystyle \ vartheta = \ arccos ((U _ {\ text {н}} - U_ {0}) / U_ {m}).}$

Experimentally, the cutoff angle can be obtained by measuring the current flowing through an electronic device.

\vartheta ={\frac {\omega \Delta t}{2}},

{\ displaystyle \ vartheta = {\ frac {\ omega \ Delta t} {2}},}

{\ displaystyle \ vartheta = {\ frac {\ omega \ Delta t} {2}},}

Where $\omega$ ${\ displaystyle \ omega}$ $\ omega$ - circular frequency of the input voltage, $\Delta t$ ${\ displaystyle \ Delta t}$ $\ Delta t$ - time during which the electronic device is open.

Notes

↑ Baskakov S.I. Radio circuits and signals. - 3rd edition, rev. and add. - M .: Higher school, 2000 .-- S. 280. - 462 p.

Literature

Baskakov S.I. Radio engineering circuits and signals: a textbook. - 4th, rev. and add. - M .: LENAND, 2016 .-- S. 51 .-- 528 p. - ISBN 978-5-9710-2464-4 .

[1] Baskakov S.I. Radio circuits and signals. - 3rd edition, rev. and add. - M .: Higher school, 2000 .-- S. 280. - 462 p.

Cutoff angle

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Notes

Literature

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