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Base Impedance given Base Current Formula

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Base Impedance is the ratio of the base voltage to the base current. It is denoted as Z_base . Check FAQs

Z base = \frac{V base}{I pu(b)}

Z_base - Base Impedance?V_base - Base Voltage?I_pu(b) - Base Current (PU)?

Base Impedance given Base Current Example

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Here is how the Base Impedance given Base Current equation looks like with Values.

Here is how the Base Impedance given Base Current equation looks like with Units.

Here is how the Base Impedance given Base Current equation looks like.

6.25 = \frac{250}{40}

6.25Ω = \frac{250V}{40A}

6.25 = \frac{250}{40}

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Base Impedance given Base Current Solution

Follow our step by step solution on how to calculate Base Impedance given Base Current?

FIRST Step Consider the formula

Z base = \frac{V base}{I pu(b)}

Next Step Substitute values of Variables

∴

Z base = \frac{250V}{40A}

Next Step Prepare to Evaluate

∴

Z base = \frac{250}{40}

LAST Step Evaluate

∴

Z base = 6.25Ω

Base Impedance given Base Current Formula Elements

Variables

Base Impedance

Base Impedance is the ratio of the base voltage to the base current. It is denoted as Z_base .

Symbol: Z_base

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Base Impedance

Base Voltage

Base Voltage is chosen as the nominal rated voltage of the system.

Symbol: V_base

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Base Voltage

Base Current (PU)

Base Current (PU) in the per unit system is the rated current of the machine in the power system.

Symbol: I_pu(b)

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Base Current (PU)

Other formulas in Line Performance Characteristics category

Go Complex Power given Current

S = I^{2} \cdot Z

Go Skin Depth in Conductor

δ = \sqrt{\frac{R s}{f \cdot μ r \cdot 4 \cdot π \cdot 10^{- 7}}}

Go Base Power

P b = V base \cdot I b

Go Base Current

I pu(b) = \frac{P b}{V base}

How to Evaluate Base Impedance given Base Current?

Base Impedance given Base Current evaluator uses Base Impedance = Base Voltage/Base Current (PU) to evaluate the Base Impedance, Base Impedance given Base Current is the ratio of the base voltage to the base current. It is denoted as Z_base. It is a convenient way to normalize and standardize the representation of impedances in a power system, especially in the analysis of fault conditions, load flow, and short-circuit studies. Base Impedance is denoted by Z_base symbol.

How to evaluate Base Impedance given Base Current using this online evaluator? To use this online evaluator for Base Impedance given Base Current, enter Base Voltage (V_base) & Base Current (PU) (I_pu(b)) and hit the calculate button.

FAQs on Base Impedance given Base Current

What is the formula to find Base Impedance given Base Current?

The formula of Base Impedance given Base Current is expressed as Base Impedance = Base Voltage/Base Current (PU). Here is an example- 6.25 = 250/40.

How to calculate Base Impedance given Base Current?

With Base Voltage (V_base) & Base Current (PU) (I_pu(b)) we can find Base Impedance given Base Current using the formula - Base Impedance = Base Voltage/Base Current (PU).

Can the Base Impedance given Base Current be negative?

No, the Base Impedance given Base Current, measured in Electric Resistance cannot be negative.

Which unit is used to measure Base Impedance given Base Current?

Base Impedance given Base Current is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Base Impedance given Base Current can be measured.

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Base Impedance given Base Current Formula

Base Impedance given Base Current Example

Base Impedance given Base Current Solution

Base Impedance given Base Current Formula Elements

Other formulas in Line Performance Characteristics category

How to Evaluate Base Impedance given Base Current?

FAQs on Base Impedance given Base Current

Variable Name