Converter

Coulombs to nC Conversion

Coulombs to nC Conversion

Coulombs to Nanocoulombs Converter - Precise C to nC Calculator

Convert coulombs to nanocoulombs instantly with our scientific calculator designed for electronics engineers, physicists, and researchers. Perfect for capacitor datasheets, sensor calibration, power electronics, and circuit analysis where nanocoulombs provide convenient measurement scales. Uses the SI prefix where 1 C = \(10^9\) nC.

Interactive Electric Charge Converter

Conversion Result

Understanding Coulomb to Nanocoulomb Conversion

The coulomb (C) is the SI base unit of electric charge. The nanocoulomb (nC) represents one billionth (\(10^{-9}\)) of a coulomb, making it the standard unit for measuring charge in power electronics, capacitor specifications, piezoelectric sensors, and electrostatic discharge analysis.

Conversion Formulas

\( \text{nC} = \text{C} \times 10^{9} \)

Inverse Formula:

\( \text{C} = \frac{\text{nC}}{10^{9}} \)

Conversion Factor: \( 1 \, \text{C} = 1,000,000,000 \, \text{nC} = 10^{9} \, \text{nC} \)

Quick Reference Conversion Table

Essential conversions for electronics applications:

Coulombs (C)Nanocoulombs (nC)Scientific Notation
1 C1,000,000,000 nC\(10^{9}\) nC
0.1 C100,000,000 nC\(10^{8}\) nC
0.01 C10,000,000 nC\(10^{7}\) nC
0.001 C1,000,000 nC\(10^{6}\) nC
1 μC (10⁻⁶ C)1,000 nC\(10^{3}\) nC
1 nC (10⁻⁹ C)1 nC1 nC
10 nC0.00000001 C\(10^{-8}\) C
100 nC0.0000001 C\(10^{-7}\) C
1,000 nC0.000001 C\(10^{-6}\) C

Electronics Applications Table

Typical charge values in electronic components:

Component/ApplicationCoulombsNanocoulombs
Power MOSFET Gate Charge50 × 10⁻⁹ C50 nC
Electrolytic Capacitor (10μF)50 × 10⁻⁶ C50,000 nC
ESD Human Body Model1.33 × 10⁻⁶ C1,330 nC
Piezoelectric Sensor100 × 10⁻⁹ C100 nC
Ceramic Capacitor Charge1 × 10⁻⁹ C1 nC

Step-by-Step Conversion Guide

Method 1: Direct Scientific Notation

  1. Identify charge in coulombs (e.g., 4.7 × 10⁻⁶ C)
  2. Multiply by \(10^{9}\)
  3. Calculate: \( 4.7 \times 10^{-6} \times 10^{9} = 4.7 \times 10^3 \) nC
  4. Result: 4,700 nC

Method 2: Prefix Ladder

Quick reference conversions:

  • 1 μC = 10⁻⁶ C = 10³ nC = 1,000 nC
  • 1 nC = 10⁻⁹ C = 1 nC
  • 1 pC = 10⁻¹² C = 0.001 nC

Practical Examples

Example 1: MOSFET Gate Charge

Problem: Datasheet lists Qg = 35 nC. Convert to coulombs.

Solution: \( 35 \div 10^{9} = 3.5 \times 10^{-8} \) C

Answer: 35 nC = 35 × 10⁻⁹ C

Example 2: Capacitor Stored Charge

Problem: 10μF capacitor at 5V stores Q = CV = 50μC. Convert to nC.

Solution: \( 50 \times 10^{-6} \times 10^{9} = 50,000 \) nC

Answer: 50,000 nanocoulombs

Example 3: ESD Protection

Problem: ESD event delivers 2 × 10⁻⁶ C. Convert to nC.

Solution: \( 2 \times 10^{-6} \times 10^{9} = 2,000 \) nC

Answer: 2,000 nC

Real-World Applications

Power Electronics

Nanocoulombs measure gate charges in MOSFETs, IGBTs, and power ICs. Lower Qg values improve switching efficiency and reduce driver requirements.

Capacitor Specifications

Ceramic and electrolytic capacitors list maximum charge capacities in nanocoulombs for pulse applications and high-voltage testing.

Electrostatic Discharge (ESD)

ESD models (HBM, CDM) specify charge levels in nanocoulombs to test component robustness against electrostatic events.

Piezoelectric & Pressure Sensors

Piezoelectric materials generate nanocoulomb charges proportional to mechanical stress, used in accelerometers and pressure transducers.

SI Prefix Relationship Chart

Charge Unit Hierarchy

PrefixSymbolFactor (vs C)vs nC
picopC10⁻¹²0.001 nC
nanonC10⁻⁹1 nC
microμC10⁻⁶1,000 nC
millimC10⁻³10⁶ nC

Precision Measurement Tips

  • Gate Charge Testing: Use peak current × rise time method for accurate Qg measurement
  • Capacitor Testing: Apply rated voltage and integrate current over time
  • ESD Testing: Follow JEDEC JESD22-A114 standards for HBM classification
  • Scientific Notation: Use 1e-6, 2.5e-9 formats for small charges
  • Instrument Ranges: Oscilloscopes measure up to 10⁶ nC; electrometers to 10⁹ nC

Frequently Asked Questions (FAQs)

Q1: How many nanocoulombs are in one coulomb?
One coulomb equals exactly \(10^{9}\) nanocoulombs (1 billion nC). The "nano" prefix represents \(10^{-9}\).
Q2: Convert 1 microcoulomb to nanocoulombs?
1 μC = \(10^{-6}\) C × \(10^{9}\) = \(10^3\) nC = 1,000 nanocoulombs.
Q3: What is typical MOSFET gate charge?
Power MOSFETs have gate charges from 5-100 nC. Lower Qg improves switching speed and efficiency.
Q4: Convert 2500 nC to coulombs?
\( 2500 \div 10^{9} = 2.5 \times 10^{-6} \) C = 2.5 μC.
Q5: Why use nanocoulombs in datasheets?
Nanocoulombs give convenient whole numbers for gate charges (10-100 nC) and capacitor charges, avoiding excessive decimals.
Q6: Does this calculator support scientific notation?
Yes! Enter 1e-6 (1 μC), 3.5e-9 (3.5 nC), or 2e6 (2 million nC).
Q7: What ESD levels use nanocoulombs?
Human Body Model (HBM): 1,000-4,000 nC. Charged Device Model (CDM): 200-1,000 nC.
Q8: How to measure nanocoulomb charges?
Use current integration (charge = ∫I·dt) with oscilloscopes or dedicated charge meters for gate charge and capacitor testing.

Explore More Engineering Tools at RevisionTown

Discover our complete collection of scientific and engineering calculators for precise technical work.

Visit RevisionTown
Shares: