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Voltage, otherwise known as electrical potential difference (denoted ∆V and measured in volts) is the difference in electric potential between two points (adapted from Wikipedia). Voltage can be constant (DC) or varying (AC).

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Is the analysis of the following circuit correct?

If the voltage at a point is to be measured in terms of the resistance in front of said point (as \$V_0\$ was measured in terms of the \$4k\Omega\$), would that not imply that measuring the voltage at … a point in between the battery and the first resistor should be done as follows: \$V=IR=(1.33mA)(3k\Omega)=4V\$ even though the voltage at that point should intuitively be \$10V\$? …
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Could a voltage divider with more than two resistors be used?

As a step in an exercise, I'm trying to find voltages \$V_1\$ and \$V_2\$ below Could a voltage divider (with more than two resistors) be used here? …
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