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GATE

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GATE formulas

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Electronics Engineering

Precision Index

Electronics Engineering

\[h = \frac{1}{\sigma \cdot \sqrt{2}}\]
GATE
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Electrical Engineering

Primary circuit impedance referred to the secondary

Electrical Engineering

\[Z_{12} = Z_{1} \cdot {\frac{N_{2}}{N_{1}}}^{2}\]
GATE
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Electrical Engineering

Primary resistance drop

Electrical Engineering

\[P_{U\_primary\_resistance\_drop} = \frac{I_{1} \cdot R_{1}}{E_{1}}\]
GATE
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Mechanical Engineering

Probability customers exceed a given number

Mechanical Engineering

\[probability_{customers\_exceed\_a\_given\_number} = \frac{\lambda}{\mu} \cdot k\]
GATE
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Mechanical Engineering

Probability that the queue is non-empty

Mechanical Engineering

\[probability_{that\_the\_queue\_is\_non\_empty} = {\frac{\lambda}{\mu}}^{2}\]
GATE
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Electronics Engineering

Probable error

Electronics Engineering

\[r = \frac{0.4769}{h}\]
GATE
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Computer Science

Productivity in software engineering

Computer Science

\[Productivity = ( ( L \cdot O \cdot C ) / ( ( Number_of_programmers ) \cdot ( number_of_days ) ) )\]
GATE
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Computer Science

Propagation delay

Computer Science

\[Propagation_{delay} = \frac{Distance_{Traveled\_by\_frame\_or\_packet}}{Propagaton_{speed}}\]
GATE
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Electronics Engineering

PT Class B operation

Electronics Engineering

\[P_T = i_c \cdot V_ce\]
GATE
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Mechanical Engineering

Punching and Blanking Punch load

Mechanical Engineering

\[Punch \cdot load = \pi \cdot D \cdot t \cdot K_{prime} \cdot \frac{Penetration}{Shear_{on\_punch}}\]
GATE
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Electronics Engineering

Quality factor

Electronics Engineering

\[Q = \frac{\omega \cdot L}{R}\]
GATE
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Electronics Engineering

Quality factor in Maxwell’s bridge

Electronics Engineering

\[Q = \frac{\omega \cdot L_{1}}{R_{1}}\]
GATE
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Electronics Engineering

Quality factor of Carry Foster Bridge

Electronics Engineering

\[QF = \frac{Energy_{stored}}{Energy_{disspiated}}\]
GATE
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Mechanical Engineering

Quantity Q2 in Purchase Model with Shortage

Mechanical Engineering

\[Q_2 = Q - Q_1\]
GATE
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Electronics Engineering

Ratio Correction Factor for transformer

Electronics Engineering

\[RCF = \frac{R}{K_{n}}\]
GATE
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Mechanical Engineering

Ratio of Hoop Strain to Longitudinal Strain

Mechanical Engineering

\[varepsilon_{v} = \frac{p \cdot d}{4 \cdot t \cdot E} \cdot \left(5 - 4 \cdot \mu\right)\]
GATE
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Electronics Engineering

RC-phase shift oscillator frequency

Electronics Engineering

\[f = \frac{1}{2 \cdot \pi \cdot RC} \cdot \sqrt{6 + 4 \cdot K}\]
GATE
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Electronics Engineering

Rd for Diode

Electronics Engineering

\[r_{d} = \frac{\Delta_{V\_d}}{\Delta_{I\_d}}\]
GATE
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Mechanical Engineering

Reaction force in cone clutch

Mechanical Engineering

\[R_{n} = \frac{w}{2 \cdot \pi \cdot R_{m} \cdot b \cdot \sin\left(\alpha\right)}\]
GATE
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Computer Science

Read Stall Cycles

Computer Science

\[( Read \cdot Stall \cdot Cycles ) = Read \cdot Read \cdot miss \cdot rate \cdot Read \cdot miss \cdot rate \cdot Read \cdot miss \cdot penalty\]
GATE
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Mechanical Engineering

Reflectivity

Mechanical Engineering

\[Reflectivity \cdot \rho = \frac{Energy_{reflected} \cdot Q_{r}}{Total_{incident\_radiation} \cdot Q}\]
GATE
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Computer Science

Reflexive Relations

Computer Science

\[Number_of_reflexive_relations = 2 ^ ( n \cdot ( n - 1 ) )\]
GATE
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Mechanical Engineering

Refrigerator work

Mechanical Engineering

\[W_R \cdot E \cdot F = Q_H - Q_L\]
GATE
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Mechanical Engineering

Relation between B, G and M

Mechanical Engineering

\[GM = \frac{l}{V} - B \cdot G\]
GATE
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