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Calculate the current an appliance draws: I = P/V

A window air conditioner's label reads 960 W. The wall supply is 120 V. The label does not state the current the unit draws. But P = IV already ties power, current, and voltage together, so the current can be calculated.

P = IV holds three quantities. Given any two of them, the third follows.

Here the power and the voltage are known, and the current is wanted. So make I the subject.

Start from P = IV.

LineMoveP = IVthe equation
The starting line: the equation P = IV.

Divide both sides by V. On the right, V cancels: P/V = I.

LineMoveP = IVthe equationP/V = Idivide both sides by V
Divide both sides by V: on the right, V cancels, leaving P/V = I.

Then swap the sides, so the wanted quantity stands first.

LineMoveP = IVthe equationP/V = Idivide both sides by VI = P/Vswap the sides
Every rearrangement step written out: divide both sides by V, then swap the sides.
So I = P/V: the current an appliance draws is its power divided by the supply voltage.

The steps of the calculation stay the same as always; the rearrangement is written as its own step.

A window air conditioner is rated 960 W on a 120 V supply. Calculate the current it draws.

Write down the values in the question:

P = 960 W

V = 120 V

I = ?

Write down the equation:

P = IV

Make I the subject:

I = P/V

Substitute in the values:

I = 960/120

Simplify:

I = 8.0 A

The air conditioner draws 8.0 A from the supply.

A 900 W coffee maker runs on 120 V. Enter its current in amperes.

A 168 W e-bike charger runs on 42 V. Enter its current in amperes.

A 240 W TV runs on 120 V. Enter its current in amperes.

The same air conditioner on its fan-only setting is rated 60 W, still on the 120 V supply. Calculate the current it draws.

Write down the values in the question:

P = 60 W

V = 120 V

I = ?

Write down the equation:

P = IV

Make I the subject:

I = P/V

Substitute in the values:

I = 60/120

Simplify:

I = 0.5 A

On its fan-only setting, the air conditioner draws 0.5 A.

A 300 W slow cooker runs on 120 V. Enter its current in amperes.

A 54 W car headlight runs on 12 V. Enter its current in amperes.

A 108 W power drill runs on 18 V. Enter its current in amperes.

Your turn

A vacuum cleaner is rated 1440 W on a 120 V supply. Calculate the current it draws, in A.

A leaf blower is rated 720 W on a 120 V supply. Calculate the current it draws, in A.

An EV trickle charger is rated 1200 W on a 240 V supply. Calculate the current it draws, in A.