DC Power (in Voltage Terms) Calculator

✖Total Voltage is the amount of total potential difference across the network. In this case, it is usually the voltage difference across the voltmeter.ⓘ Total Voltage [V_t]			+10% -10%
✖Total Current is the total amount of current flowing through the circuit with the load.ⓘ Total Current [I_t]			+10% -10%
✖Resistance of the Voltmeter is the internal resistance of the voltmeter.ⓘ Resistance of the Voltmeter [R_vm]			+10% -10%

✖Total Power is the total power consumed in an n-phase circuit.ⓘ DC Power (in Voltage Terms) [P_t]

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Formula

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DC Power (in Voltage Terms)

Formula

`"P"_{"t"} = ("V"_{"t"}*"I"_{"t"})-((("V"_{"t"})^2)/"R"_{"vm"})`

Example

`"2.5W"=("10V"*"0.5A")-((("10V")^2)/"40Ω")`

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DC Power (in Voltage Terms) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Power = (Total Voltage*Total Current)-(((Total Voltage)^2)/Resistance of the Voltmeter)
P_t = (V_t*I_t)-(((V_t)^2)/R_vm)
This formula uses 4 Variables

Variables Used

Total Power - (Measured in Watt) - Total Power is the total power consumed in an n-phase circuit.
Total Voltage - (Measured in Volt) - Total Voltage is the amount of total potential difference across the network. In this case, it is usually the voltage difference across the voltmeter.
Total Current - (Measured in Ampere) - Total Current is the total amount of current flowing through the circuit with the load.
Resistance of the Voltmeter - (Measured in Ohm) - Resistance of the Voltmeter is the internal resistance of the voltmeter.

STEP 1: Convert Input(s) to Base Unit

Total Voltage: 10 Volt --> 10 Volt No Conversion Required
Total Current: 0.5 Ampere --> 0.5 Ampere No Conversion Required
Resistance of the Voltmeter: 40 Ohm --> 40 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_t = (V_t*I_t)-(((V_t)^2)/R_vm) --> (10*0.5)-(((10)^2)/40)

Evaluating ... ...

P_t = 2.5

STEP 3: Convert Result to Output's Unit

2.5 Watt --> No Conversion Required

FINAL ANSWER

2.5 Watt <-- Total Power

(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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< 13 Wattmeter Circuit Calculators

Total Power for Three Phase Wattmeter

Go Total Power = (Voltage through Phase 1*Current in Phase 1)+(Voltage through Phase 2*Current in Phase 2)+(Voltage through Phase 3*Current in Phase 3)

Resistance of Watt-meter pressure Coil

Go Resistance of Wattmeter Pressure Coil = (Voltage Induced in Secondary Winding 2-(Current in Pressure Coil Circuit*Resistance of Coil in Secondary Winding))/Current in Pressure Coil Circuit

Resistance of coil S1

Go Resistance of Coil in Secondary Winding = (Voltage Induced in Secondary Winding 2-(Current in Pressure Coil Circuit*Resistance of Wattmeter Pressure Coil))/Current in Pressure Coil Circuit

Power using Two Wattmeter Method

Go Total Power = sqrt(3)*Total Phase Voltage*Current in Phase 1*cos((30*(pi/180))-Phase Angle)

Total copper loss in secondary winding circuit

Go Total Copper Loss in Secondary Winding = ((Voltage Induced in Secondary Winding 2^2)/Resistance of Coil in Secondary Winding)+Resistance of Wattmeter Pressure Coil

Current in pressure coil circuit

Go Current in Pressure Coil Circuit = Voltage Induced in Secondary Winding 2/(Resistance of Wattmeter Pressure Coil+Resistance of Coil in Secondary Winding)

Voltage Induced in S2

Go Voltage Induced in Secondary Winding 2 = Current in Pressure Coil Circuit*(Resistance of Wattmeter Pressure Coil+Resistance of Coil in Secondary Winding)

DC Power (in Voltage Terms)

Go Total Power = (Total Voltage*Total Current)-(((Total Voltage)^2)/Resistance of the Voltmeter)

DC Power (in Current Terms)

Go Total Power = (Total Voltage*Total Current)-(((Total Current)^2)*Resistance of Ammeter)

AC Power

Go Instantaneous AC Power = Total Voltage*Current RMS Value*cos(Phase Angle)

Total Power using phi Angle

Go Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle)

Wattmeter Reading

Go Wattmeter Reading = (Voltage at Wattmeter Pressure Coil*Total Iron Loss)/(Potential Difference)

Voltage applied to wattmeter pressure coil

Go Voltage at Wattmeter Pressure Coil = (Wattmeter Reading*Potential Difference)/Total Iron Loss

DC Power (in Voltage Terms) Formula

Total Power = (Total Voltage*Total Current)-(((Total Voltage)^2)/Resistance of the Voltmeter)
P_t = (V_t*I_t)-(((V_t)^2)/R_vm)

How to calculate load power?

The power through the load is given by the difference between the power indicated by the instruments and the power loss in the voltmeter. The ammeter indicates the current flowing through the load as well as the voltmeter.

How to Calculate DC Power (in Voltage Terms)?

DC Power (in Voltage Terms) calculator uses Total Power = (Total Voltage*Total Current)-(((Total Voltage)^2)/Resistance of the Voltmeter) to calculate the Total Power, The DC Power (in Voltage Terms) formula is used to calculate the power of the load on a circuit that employs a voltmeter and an ammeter. Total Power is denoted by P_t symbol.

How to calculate DC Power (in Voltage Terms) using this online calculator? To use this online calculator for DC Power (in Voltage Terms), enter Total Voltage (V_t), Total Current (I_t) & Resistance of the Voltmeter (R_vm) and hit the calculate button. Here is how the DC Power (in Voltage Terms) calculation can be explained with given input values -> 2.5 = (10*0.5)-(((10)^2)/40).

FAQ

What is DC Power (in Voltage Terms)?

The DC Power (in Voltage Terms) formula is used to calculate the power of the load on a circuit that employs a voltmeter and an ammeter and is represented as P_t = (V_t*I_t)-(((V_t)^2)/R_vm) or Total Power = (Total Voltage*Total Current)-(((Total Voltage)^2)/Resistance of the Voltmeter). Total Voltage is the amount of total potential difference across the network. In this case, it is usually the voltage difference across the voltmeter, Total Current is the total amount of current flowing through the circuit with the load & Resistance of the Voltmeter is the internal resistance of the voltmeter.

How to calculate DC Power (in Voltage Terms)?

The DC Power (in Voltage Terms) formula is used to calculate the power of the load on a circuit that employs a voltmeter and an ammeter is calculated using Total Power = (Total Voltage*Total Current)-(((Total Voltage)^2)/Resistance of the Voltmeter). To calculate DC Power (in Voltage Terms), you need Total Voltage (V_t), Total Current (I_t) & Resistance of the Voltmeter (R_vm). With our tool, you need to enter the respective value for Total Voltage, Total Current & Resistance of the Voltmeter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Power?

In this formula, Total Power uses Total Voltage, Total Current & Resistance of the Voltmeter. We can use 4 other way(s) to calculate the same, which is/are as follows -

Total Power = sqrt(3)*Total Phase Voltage*Current in Phase 1*cos((30*(pi/180))-Phase Angle)
Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle)
Total Power = (Total Voltage*Total Current)-(((Total Current)^2)*Resistance of Ammeter)
Total Power = (Voltage through Phase 1*Current in Phase 1)+(Voltage through Phase 2*Current in Phase 2)+(Voltage through Phase 3*Current in Phase 3)

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