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GATE formulas

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Civil Engineering

Critical angle for Shear Strength

Civil Engineering

\[\theta_{c} = \frac{\pi}{4} + \frac{\beta_{} \cdot i \cdot m \cdot u \cdot m}{2}\]
GATE
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Mechanical Engineering

Critical damping

Mechanical Engineering

\[C_{c} = 2 \cdot m \cdot \omega_{n}\]
GATE
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Mechanical Engineering

Critical Pressure for ideal gas

Mechanical Engineering

\[P_{r} = \frac{P}{P_{c}}\]
GATE
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Mechanical Engineering

Critical temperature for ideal gas

Mechanical Engineering

\[T_{r} = \frac{T}{T_{c}}\]
GATE
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Mechanical Engineering

Critical thickness for cylinder

Mechanical Engineering

\[r_{c} = \frac{k_{0}}{h}\]
GATE
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Electronics Engineering

Crtical damping in D’Arsonval Galvanometer

Electronics Engineering

\[R_e = R - R_g\]
GATE
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Electrical Engineering

Cumulatively compounded DC generator current

Electrical Engineering

\[I_a = I_f + I_L\]
GATE
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Electrical Engineering

Cumulatively compounded DC generator Terminal Voltage

Electrical Engineering

\[V = E_a - ( l_a \cdot R_a + l_a \cdot R_f )\]
GATE
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Electrical Engineering

Current in 3 phase delta Connection

Electrical Engineering

\[I_P = ( ( I_L ) / ( sqrt ( 3 ) ) )\]
GATE
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Electronics Engineering

Current in Time Domain s-Domain

Electronics Engineering

\[I \cdot ( s ) = sCVs\]
GATE
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Electronics Engineering

Current sensitivity in D’Arsonval Galvanometer

Electronics Engineering

\[S_{i} = \frac{G}{K}\]
GATE
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Mechanical Engineering

Cutting Force

Mechanical Engineering

\[F_{t} = F_{n} \cdot \cos\left(\phi\right) - F_{s} \cdot \sin\left(\phi\right)\]
GATE
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Mechanical Engineering

Cutting Horizontal Force

Mechanical Engineering

\[F = F_{c} \cdot \sin\left(\alpha\right) + F_{t} \cdot \cos\left(\alpha\right)\]
GATE
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Mechanical Engineering

Cutting Normal Force

Mechanical Engineering

\[N = F_{c} \cdot \cos\left(\alpha\right) - F_{t} \cdot \sin\left(\alpha\right)\]
GATE
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Computer Science

Cycle Time for memory access

Computer Science

\[Cycle_Time = Latency_Time + Transfer_Time\]
GATE
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Computer Science

Cyclomatic complexity V(G)

Computer Science

\[V \cdot ( G ) = E - V + 2\]
GATE
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Electronics Engineering

D.C current gain

Electronics Engineering

\[\beta_{dc} = \frac{I_{C}}{I_{B}}\]
GATE
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Electrical Engineering

Daily Average Load

Electrical Engineering

\[Daily_{average\_load} = \frac{KWH_{deliverd\_in\_one\_day}}{24}\]
GATE
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Electronics Engineering

Darlington Pair AI

Electronics Engineering

\[A_{I} = \left(1 + \beta_{1}\right) \cdot \left(1 + \beta_{2}\right)\]
GATE
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Electronics Engineering

Darlington Pair gm

Electronics Engineering

\[g_{m} = \left(1 + \beta_{2}\right) \cdot g_{m} \cdot 1\]
GATE
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Computer Science

Data throughput for stop-and-wait

Computer Science

\[Maximum_{Data\_throughput} = \frac{d}{R}\]
GATE
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Mechanical Engineering

Dedendum circle diameter of helical gear

Mechanical Engineering

\[d_{f} = \frac{z \cdot m_{n}}{cos} + 2.5 \cdot m_{n}\]
GATE
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Mechanical Engineering

Deflection and slope in Beam due to Pure moment

Mechanical Engineering

\[Slope = ( ( W \cdot L ^ ( 2 ) ) / ( 16 \cdot E \cdot I ) )\]
GATE
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Mechanical Engineering

Deflection and Slope in fixed end beam

Mechanical Engineering

\[\theta_{B} = \frac{W \cdot a \cdot {c}^{2}}{2 \cdot L \cdot E \cdot I}\]
GATE
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