Calculate the Current Ratio

Calculate CT and transformer current ratios, solve unknown currents, compare rated values, estimate burden, and export clear calculation records instantly online.

Current result
80:1

Step-by-step solution

Calculator Inputs

Used when solving for a current.
Use one for a normal single pass.
Ω
VA
VA

Formula Used

Current ratio: R = Ip ÷ Is.

Primary current: Ip = R × Is.

Secondary current: Is = Ip ÷ R.

Ideal transformer: Vp/Vs = Np/Ns = Is/Ip.

Lead burden: VA = Is2 × Rlead.

Ratio error: ((Measured ratio − Rated ratio) ÷ Rated ratio) × 100.

How to Use This Calculator

  1. Choose CT, transformer, or simple ratio mode.
  2. Select the value you want to solve.
  3. Enter known currents and matching current units.
  4. Enter a known ratio when solving current values.
  5. Add CT burden values when checking installations.
  6. Use transformer voltage or turns data when required.
  7. Press Calculate and review each displayed calculation step.
  8. Download CSV or PDF records when documentation helps.

Example Current Ratio Table

Rated CTNumeric RatioPrimary ExampleIdeal SecondaryTypical Use
100:520:160 A3.00 ASmall feeders
200:540:1120 A3.00 ADistribution
400:580:1240 A3.00 APanels
600:5120:1360 A3.00 ALarger feeders
1000:5200:1600 A3.00 AHigh-current systems
1000:11000:1600 A0.60 ALow-secondary CTs

Understanding Electrical Current Ratios

A current ratio compares current values across two electrical sides. Current transformers commonly use primary and secondary current ratings. A rating such as 400:5 means something specific. Four hundred amperes primary produces five amperes secondary ideally. The numeric ratio therefore equals eighty to one. This ratio helps meters handle larger currents safely. It also supports protective relays and monitoring equipment. Correct ratio selection keeps instruments within expected ranges.

Current Transformers and Ratio Error

Real current transformers are not perfectly ideal devices. Their measured ratio can differ from rated ratio. This difference can be shown as percentage error. Small errors matter during precision energy measurements. Burden also affects current transformer operating performance. Connected meters add burden to the secondary circuit. Wiring resistance adds another burden component during operation. Lead burden depends on current squared times resistance. Excessive burden can increase error and reduce accuracy. Always compare estimated burden with equipment nameplate limits.

Transformer Current Relationships

Ideal power transformers follow an inverse current relationship. Higher secondary voltage generally means lower secondary current. Lower secondary voltage generally permits higher secondary current. Voltage ratio also follows the winding turns ratio. Current ratio moves in the opposite direction there. These relationships assume ideal operation without significant losses. Practical transformers have copper, core, and thermal losses. Use manufacturer ratings for final equipment sizing decisions.

Using Ratios in Practical Work

Ratio calculations support planning, checking, and troubleshooting work. Convert all currents into matching units before division. Never divide by zero or invalid current values. Use primary passes carefully with window current transformers. Multiple passes change the effective primary ampere-turn relationship. Document entered values before changing field settings. Exported records can support calculations and later reviews. Accurate inputs produce clearer and more useful comparisons. Record ratios alongside test conditions for useful maintenance comparisons. Consistent documentation also helps identify unexpected changes over time. Always verify electrical work against applicable local safety requirements.

Frequently Asked Questions

What does a 400:5 CT ratio mean?

It means 400 A primary corresponds ideally to 5 A secondary. The numeric ratio equals 80:1.

Can this calculator solve secondary current?

Yes. Enter primary current and the known ratio. Then select secondary current as the target.

Why are transformer current ratios inverse?

An ideal transformer approximately conserves power. Raising voltage therefore lowers current proportionally.

What is CT burden?

Burden is the load connected to the CT secondary. It includes instruments and lead resistance.

What do multiple primary passes change?

Additional passes increase primary ampere-turns. This changes the effective ratio seen by the circuit.

Should calculated values replace equipment ratings?

No. Use equipment labels, manufacturer data, and engineering checks for final decisions.

Electrical safety: This tool provides calculation support only. Verify actual equipment ratings and installation requirements before use.

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