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Help with solving simple circuit

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olakease

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Formula to get voltage on circuit

Maybe this is a Do my Homework question, but I'm learning Electronics and I'm confused on solve a simple Circuit.

The value in Voltimeter is 6.43 V, but, how can I get this value with Analysis? I mean, exists a formula for this?
03.1.png

Thank you.
 
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this is strange normally you should have 6v in the voltmeter, are you sure that the supply is exactly 6V ?
 

Yeah, is only a simple example.

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I'm trying another Simulator and the Value is 6V, but, the real question is how can I get this value with a formula?
 

normally you should have 6v on the voltmeter, if you really have 6V as a source

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you don't need a formula, the voltage on the line when you put the voltmeter is simular to the value of the source
 

Total Voltage will be 6V-voltage at the junction 5k&2k. for the analysis of 1.5V, the current will flow through the 2k & 5k only. so the current is -1.5/(2k+5k)=-0.214mA, so @ junction the voltage is -0.214mA*2k=-0.428V, hence the total voltage 6-(-0.428)= 6.428 or 6.43V.

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This only in the case of ideal circuit, assuming, there is no resistance on the 6V path, so that no current flow.
 
Total Voltage will be 6V-voltage at the junction 5k&2k. for the analysis of 1.5V, the current will flow through the 2k & 5k only. so the current is -1.5/(2k+5k)=-0.214mA, so @ junction the voltage is -0.214mA*2k=-0.428V, hence the total voltage 6-(-0.428)= 6.428 or 6.43V.

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This only in the case of ideal circuit, assuming, there is no resistance on the 6V path, so that no current flow.
i made a simulation using Lt spice but i did get this 6,43 V that you mentionned
 
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