Power System Formulas for GATE EE Exam

# Power System Formulas for GATE EE Exam - GATE Notes & Videos for Electrical Engineering - Electrical Engineering (EE)

## GATE Notes & Videos for Electrical Engineering

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## FAQs on Power System Formulas for GATE EE Exam - GATE Notes & Videos for Electrical Engineering - Electrical Engineering (EE)

 1. What are some important power system formulas that I should know for the GATE EE exam in Electrical Engineering? Ans. Some important power system formulas that you should know for the GATE EE exam in Electrical Engineering include: 1. Power formula: P = VI, where P is the power in watts, V is the voltage in volts, and I is the current in amperes. 2. Ohm's Law: V = IR, where V is the voltage in volts, I is the current in amperes, and R is the resistance in ohms. 3. Power factor formula: PF = P/VI, where PF is the power factor, P is the active power in watts, V is the voltage in volts, and I is the current in amperes. 4. Apparent power formula: S = VI, where S is the apparent power in volt-amperes, V is the voltage in volts, and I is the current in amperes. 5. Reactive power formula: Q = √(S^2 - P^2), where Q is the reactive power in volt-amperes reactive (VAR), S is the apparent power in volt-amperes, and P is the active power in watts.
 2. How can I use the power factor formula to calculate the power factor of a given electrical system? Ans. To calculate the power factor of a given electrical system using the power factor formula (PF = P/VI), you need to know the active power (P), voltage (V), and current (I) of the system. 1. Calculate the active power (P) by multiplying the voltage (V) and current (I). 2. Calculate the apparent power (S) by multiplying the voltage (V) and current (I). 3. Substitute the values of P, V, and I into the power factor formula (PF = P/VI). 4. Divide the active power (P) by the apparent power (S) to get the power factor (PF). The power factor is a dimensionless quantity ranging from 0 to 1, where a higher value indicates a more efficient use of electrical power.
 3. How do I calculate the reactive power of an electrical system using the reactive power formula? Ans. To calculate the reactive power of an electrical system using the reactive power formula (Q = √(S^2 - P^2)), you need to know the apparent power (S) and active power (P) of the system. 1. Calculate the apparent power (S) by multiplying the voltage (V) and current (I). 2. Calculate the active power (P) by multiplying the voltage (V), current (I), and power factor (PF). 3. Substitute the values of S and P into the reactive power formula (Q = √(S^2 - P^2)). 4. Square the apparent power (S) and subtract the square of the active power (P^2) to get the value inside the square root. 5. Take the square root of the result to get the reactive power (Q). The reactive power is measured in volt-amperes reactive (VAR) and represents the power consumed or generated by reactive elements such as inductors and capacitors in the electrical system.
 4. How can I apply Ohm's Law to solve power system problems in the GATE EE exam? Ans. Ohm's Law (V = IR) can be applied to solve power system problems by using the relationship between voltage (V), current (I), and resistance (R) in an electrical circuit. 1. If you know the values of two out of the three variables (V, I, R), you can use Ohm's Law to calculate the unknown variable. 2. If you know the voltage (V) and resistance (R), you can calculate the current (I) by dividing the voltage by the resistance (I = V/R). 3. If you know the current (I) and resistance (R), you can calculate the voltage (V) by multiplying the current by the resistance (V = I*R). 4. If you know the voltage (V) and current (I), you can calculate the resistance (R) by dividing the voltage by the current (R = V/I). By applying Ohm's Law correctly, you can solve various power system problems related to voltage, current, and resistance in electrical circuits.
 5. How can I use the power formula to calculate the power consumed by an electrical device? Ans. To calculate the power consumed by an electrical device using the power formula (P = VI), you need to know the voltage (V) and current (I) flowing through the device. 1. Measure the voltage (V) across the device using a voltmeter. 2. Measure the current (I) flowing through the device using an ammeter. 3. Multiply the voltage (V) and current (I) to calculate the power (P) consumed by the device. The power consumed by an electrical device is measured in watts (W) and represents the rate at which the device uses electrical energy.

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