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GATE

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GATE formulas

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Electronics Engineering

Forward current

Electronics Engineering

\[I = I_p + I_n\]
GATE
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Computer Science

Frequency in Sequential Circuits

Computer Science

\[f = \frac{1}{Clock_{Period}}\]
GATE
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Electronics Engineering

Frequency Measurement Using Lissajous Pattern

Electronics Engineering

\[f = ( ( ( ( f_y ) ) ) / ( ( ( f_x ) ) ) )\]
GATE
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Civil Engineering

Friction coefficient for laminar flow

Civil Engineering

\[C_{D} = \frac{24}{R_{e}}\]
GATE
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Civil Engineering

Friction coefficient for turbulent flow

Civil Engineering

\[C_{D} = \frac{24}{R_{e}} + \frac{3}{\sqrt{R_{e}}} + 0.34\]
GATE
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Mechanical Engineering

Frictional torque acting on the frictional surface

Mechanical Engineering

\[T = 2 \cdot \pi \cdot \mu \cdot P_{n} \cdot R_{m} \cdot b\]
GATE
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Mechanical Engineering

Frictional torque in Uniform Wear

Mechanical Engineering

\[T = \frac{1}{2} \cdot \mu \cdot w \cdot \left(r_{1} + r_{2}\right)\]
GATE
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Mechanical Engineering

Frictional torque in uniform wear in cone clutch

Mechanical Engineering

\[T = \frac{1}{2} \cdot \mu \cdot w \cdot cosec \cdot \alpha \cdot \left(r_{1} + r_{2}\right)\]
GATE
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Electrical Engineering

Front Pitch (Progressive winding) in Lap winding

Electrical Engineering

\[Y_f = Y_b + 2\]
GATE
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Electrical Engineering

Front Pitch (Retrogressive winding) in Lap winding

Electrical Engineering

\[Y_f = Y_b - 2\]
GATE
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Electronics Engineering

fT for CE

Electronics Engineering

\[f_T = h_fe \cdot f_beta\]
GATE
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Electronics Engineering

fα for CB

Electronics Engineering

\[f_alpha = ( ( 1 + h_fe ) / ( 2 \cdot \pi \cdot r_b_prime \cdot e \cdot ( C_C + C_e ) ) )\]
GATE
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Electronics Engineering

fβ for CE

Electronics Engineering

\[f_beta = ( ( g_b_prime \cdot e ) / ( 2 \cdot \pi \cdot ( C_e + C_c ) ) )\]
GATE
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Mechanical Engineering

Gear Train

Mechanical Engineering

\[GT = \frac{Number_{of\_teeth\_on\_driving\_gears}}{Number_{of\_teeth\_on\_driver\_gear}}\]
GATE
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Mechanical Engineering

Gibbs phase rule

Mechanical Engineering

\[F = C - P + 2\]
GATE
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Mechanical Engineering

Grashof Number (Gr)

Mechanical Engineering

\[Gr = \frac{Inertia_{force} \cdot buoyancy_{foce}}{viscous_{force}}\]
GATE
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Electrical Engineering

Gross Cross Sectional Area of transformer

Electrical Engineering

\[Gross_cross_sectional_area = Area_occupied_by_magnetic_material + Insulation_material\]
GATE
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Electrical Engineering

Gross induction motor efficiency

Electrical Engineering

\[\eta_{m} = \frac{P_{m}}{P_{t}}\]
GATE
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Electrical Engineering

Gross motor efficiency

Electrical Engineering

\[\eta_{m} = \frac{P_{m}}{P_{t}}\]
GATE
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Electronics Engineering

Hall coefficient

Electronics Engineering

\[R_{H} = \frac{1}{\rho}\]
GATE
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Electronics Engineering

Hall voltage

Electronics Engineering

\[v_{H} = \frac{B \cdot I}{w_{e}}\]
GATE
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Computer Science

Hashing for m slots and n elements

Computer Science

\[\alpha = \frac{n}{m}\]
GATE
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Electronics Engineering

Hay’s Bridge quality factor

Electronics Engineering

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

Heat Engine Work

Mechanical Engineering

\[W_H \cdot E = Q_H - Q_L\]
GATE
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