# Resistor Divider Circuit with Voltage Bias

Could someone please help me to calculate the output voltage across the voltmeter of a resistor divider network as shown in below schematic whose input can vary from -20V to +20V, R1 = 43K, R2 = 5.1K and Bias Voltage on R2 is 2.5V.

simulate this circuit – Schematic created using CircuitLab

Forget about VM1, If we simplified the circuit and connect two Voltage source of 20 V and 2.5 V, by connecting their GND, over all voltage should be 20V - 2.5V = 17.5 V, now two resistor in series, so over all current trough circuit is, I = V / R. where R = 43 + 5.1 = 48.1 kOhm, and V = 17.5 V so I = 17.5 V / 48.1 kOhm = 0.363825364 mA, Now as you can see, voltage drop across R2 is,