ElectroCalc

Voltage-to-Current Converter

Calculate output current and sense resistor power for V-to-I converter circuits.

Component Values

V

Results

Output Current (Iout)25.00 mA
Power in Rsense62.50 mW
+VinR1R2GNDRsIoutVout

Iout = Vin / Rsense

Voltage-to-Current Converters Explained

A voltage-to-current (V-to-I) converter produces an output current directly proportional to an input voltage: Iout = Vin / Rsense. The sense resistor sets the conversion gain. This circuit is essential anywhere you need to control current from a voltage source.

The Howland current pump is the most common precision V-to-I converter design. It uses a single op-amp with four matched resistors to create a true floating current source — one that can source and sink current into any load impedance. When all four resistors are equal, Iout = Vin / Rsense.

Industrial process control uses the 4-20 mA standard: 4 mA represents zero and 20 mA represents full scale. This current loop is immune to cable resistance and common-mode noise, making it reliable over hundreds of meters of wiring. A V-to-I converter at the transmitter and a sense resistor at the receiver are all that is needed.

V-to-I Conversion

Iout = Vin / Rsense

Power in Rsense

P = Iout² × Rsense

Key Points

  • Iout = Vin / Rsense — independent of load impedance
  • Sense resistor must handle power P = Iout² × Rsense
  • 4-20 mA: industrial standard for current-loop signal transmission
  • Howland pump: floating current source (bidirectional)

Applications

  • 4-20 mA industrial process control transmitters
  • Constant-current LED drivers
  • Electrochemical measurement (potentiostat)
  • Motor current control circuits