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GATE

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GATE formulas

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Electrical Engineering

P.U iron loss

Electrical Engineering

\[P_{U\_iron\_loss} = \frac{Iron_{loss\_in\_watts}}{\frac{VA_{rating\_of} \cdot t}{f}}\]
GATE
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Electrical Engineering

Parallel Paths in Lap winding

Electrical Engineering

\[A = P\]
GATE
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Electrical Engineering

Parallel Paths in wave winding

Electrical Engineering

\[A = P\]
GATE
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Civil Engineering

Peak discharge for maximum discharge

Civil Engineering

\[Q_{p} = \frac{1}{36} \cdot k \cdot P_{c} \cdot A\]
GATE
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Computer Science

Peak manning time for software cost K

Computer Science

\[m_0 = ( ( K ) / ( t \cdot d \cdot sqrt ( e ) ) )\]
GATE
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Mechanical Engineering

Peak to Valley Height

Mechanical Engineering

\[H_Max = ( ( f ^ ( 2 ) ) / ( 8 \cdot R ) )\]
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Civil Engineering

Per Capita Demand of water

Civil Engineering

\[q = \frac{Total_{yearly\_water\_requirement\_of\_the\_city\_in\_litre}}{365 \cdot Design_{population}}\]
GATE
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Mechanical Engineering

Per Order time in with Instantaneous Replenishment

Mechanical Engineering

\[Time_{Taken\_Per\_Order} = \frac{Q_{star}}{D}\]
GATE
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Mechanical Engineering

PERT Expected time

Mechanical Engineering

\[t_{e} = \frac{t_{0} + 4 \cdot t_{m} + t_{p}}{6}\]
GATE
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Electronics Engineering

Piezo-Electric Transducer Output voltage

Electronics Engineering

\[E_o = g \cdot t \cdot p\]
GATE
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Electronics Engineering

Piezo-Electric Transducer Voltage sensitivity

Electronics Engineering

\[g = \frac{Electric_{field}}{Stress}\]
GATE
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Mechanical Engineering

Pitch diameter for helical gear

Mechanical Engineering

\[d = \frac{z \cdot m_{n}}{cos}\]
GATE
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Electrical Engineering

Pitch factor

Electrical Engineering

\[Pitch_{factor} \cdot K_{p} = \frac{elecrrical_{angle\_of\_coil}}{180} \cdot 100\]
GATE
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Electrical Engineering

Plant Capacity factor

Electrical Engineering

\[Plant_{Capacity\_factor} = \frac{Average_{demand}}{Installed_{capcity}}\]
GATE
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Electrical Engineering

Plant use factor

Electrical Engineering

\[Plant_use_factor = ( ( Actual_energy_produced ) / ( Plant_capacity \cdot hours \cdot ( the_plant_has_been_in_operation ) ) )\]
GATE
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Civil Engineering

Plasticity Index of soil

Civil Engineering

\[I_p = W_L - W_p\]
GATE
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Mechanical Engineering

Poiseuille’s Equation

Mechanical Engineering

\[V = \frac{\pi \cdot P \cdot {r}^{4}}{8 \cdot \eta \cdot l}\]
GATE
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Mechanical Engineering

Poisson Ratio

Mechanical Engineering

\[Poisson_{Ratio} = \frac{Lateral_{Strain}}{Linear_{Strain}}\]
GATE
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Mechanical Engineering

Polar moment of inertia of Circular Shaft

Mechanical Engineering

\[J = ( ( \pi \cdot d ^ ( 4 ) ) / ( 32 ) )\]
GATE
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Civil Engineering

Population forecasting by Arithmetic method

Civil Engineering

\[P_n = P_0 + n \cdot x_bar\]
GATE
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Civil Engineering

Population forecasting by Geometric Method

Civil Engineering

\[P_{n} = P_{0} \cdot {\left(1 + \frac{r}{100}\right)}^{n}\]
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Electrical Engineering

Power output

Electrical Engineering

\[Output = WQH \cdot \eta\]
GATE
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Mechanical Engineering

Power transmitted by clutch

Mechanical Engineering

\[P = \frac{2 \cdot \pi \cdot N \cdot T}{60}\]
GATE
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Mechanical Engineering

Prandtl Number (Pr)

Mechanical Engineering

\[Pr = \frac{Momentum_{diffusivity\_through\_the\_fluid}}{Thermal_{diffusivity\_through\_the\_fluid}}\]
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