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GATE

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GATE formulas

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Electrical Engineering

Energy Output

Electrical Engineering

\[Energy_output = coal_consumption \cdot calorific_value\]
GATE
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Mechanical Engineering

Equation of Rectangular fin of infinite length

Mechanical Engineering

\[m = \sqrt{\frac{h \cdot p}{k \cdot A_{e}}}\]
GATE
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Mechanical Engineering

Equivalent Bending Moment

Mechanical Engineering

\[\tau = M + \sqrt{{M}^{2} + {T}^{2}}\]
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Civil Engineering

Equivalent of organic matter present after t days

Civil Engineering

\[L_t = L \cdot ( 10 ) ^ ( - k_D \cdot t )\]
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Civil Engineering

Equivalent Weight

Civil Engineering

\[Equivalent_{weight} = \frac{Molecular_{weight}}{valency}\]
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Electrical Engineering

Equivalent X of t/f under N.L condition

Electrical Engineering

\[X_{0} = \frac{v_{1}}{I_{mu}}\]
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Electronics Engineering

Error at desired value

Electronics Engineering

\[Error_at_desired_value = Full_scale_value \cdot Error_at_full_scale_Desired_value\]
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Electronics Engineering

Error in Operational Amplifier

Electronics Engineering

\[e = \frac{1}{CMRR} \cdot \frac{V_{c}}{V_{d}} \cdot 100\]
GATE
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Electronics Engineering

Error Shunt capacitance in Moving Iron Instruments

Electronics Engineering

\[C = 0.41 \cdot ( ( L ) / ( R_s ^ ( 2 ) ) )\]
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Electronics Engineering

Errors in measurement

Electronics Engineering

\[\delta \cdot A = A_{m} - A_{t}\]
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Computer Science

Ethernet channel utilization

Computer Science

\[u = \frac{1}{1 + 5 \cdot a}\]
GATE
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Mechanical Engineering

Euler’s Buckling Load

Mechanical Engineering

\[( P_ \cdot ( ( Critical ) ) ) = ( ( ( ( \pi ^ 2 ) \cdot EI ) ) / ( ( k \cdot ( l ^ 2 ) ) ) )\]
GATE
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Mechanical Engineering

Factor of Safety for brittle material

Mechanical Engineering

\[FOS = \frac{S_{w}}{\sigma}\]
GATE
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Mechanical Engineering

Factor of Safety for ductile material

Mechanical Engineering

\[FOS = \frac{S_{y}}{\sigma}\]
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Mechanical Engineering

Factor of Safety in Bolted Joints

Mechanical Engineering

\[FOS = \frac{Failure_{stress}}{Allowable_{stress}}\]
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Electrical Engineering

Fault Percentage reactance

Electrical Engineering

\[X = \frac{I \cdot X}{V} \cdot 100\]
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Electrical Engineering

Fed at both ends with equal voltages

Electrical Engineering

\[Max_{voltage\_drop} = \frac{1}{8} \cdot IR\]
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Electrical Engineering

Fed at one end

Electrical Engineering

\[V = \frac{1}{2} \cdot {irl}^{2}\]
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Electronics Engineering

FET model Phase shift oscillator frequency

Electronics Engineering

\[f = ( ( 1 ) / ( 2 \cdot \pi \cdot sqrt ( 6 ) \cdot R \cdot C ) )\]
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Mechanical Engineering

Fin Effectiveness

Mechanical Engineering

\[\epsilon = \frac{Actual_{heat\_transfer\_from\_fin\_surface} \cdot Q}{Rate_{of\_heat\_transfer\_without\_fin}}\]
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Mechanical Engineering

Fin Efficiency

Mechanical Engineering

\[\eta = \frac{A_{ctual\_heat\_rate\_from\_fin} \cdot Q}{Maximum_{heat\_transfer\_rate} \cdot Q_{max}}\]
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Electrical Engineering

Flux during transformer operation

Electrical Engineering

\[B_max = constant\]
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Mechanical Engineering

Force exerted on each shoe in Centrifugal Clutch

Mechanical Engineering

\[P_c - P_s = Ibp\]
GATE
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Mechanical Engineering

Forecasting by Exponential Smoothing

Mechanical Engineering

\[F_{t} = F_{t} - 1 + \alpha \cdot \left(D_{t} - 1 - F_{t} - 1\right)\]
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