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Physics · Lesson

Distinguish current from charge stored

Charge, current and stored charge sound alike, but exam questions treat them as three different ideas.

On this page
  1. Why are they easy to mix up?
  2. How do the ideas connect?
  3. Worked example
  4. The mistake to watch for
  5. Check yourself
  6. Where this leads next

Current is how fast charge flows. Charge stored is how much charge is sitting on an object. The first is measured in amperes and describes movement. The second is measured in coulombs and describes an amount.

This lesson brings together charging through electron transfer and current from charge and time, because one describes stored charge and the other describes charge on the move.

Why are they easy to mix up?

Both involve charge, and everyday language blurs them. Phone batteries are sold in “mAh”, which looks like a current but is really a charge. A charged balloon “has electricity” though no current flows in it at all.

A useful picture is a water tank and a pipe. The water held in the tank is like stored charge. The litres per second through the pipe are like current.

How do the ideas connect?

When a charged object discharges through a wire, its stored charge leaves as a current. The average current is I = Q ÷ t, where Q is the charge that left and t is the time it took.

Also, a steady current moving through a wire does not store anything in it. Charge flows in at one end and out at the other, so the total charge on the wire stays zero.

Worked example

A charged metal dome holds 4.0 × 10⁻⁶ C (4.0 microcoulombs). It discharges through a wire in 0.020 s. Find the average current. (Invented example data.)

Step 1, name each quantity: 4.0 × 10⁻⁶ C is the stored charge Q. The time is t = 0.020 s.

Step 2, relationship: average current I = Q ÷ t.

Step 3, calculate: I = 4.0 × 10⁻⁶ ÷ 0.020 = 2.0 × 10⁻⁴ A.

Step 4, express sensibly: 2.0 × 10⁻⁴ A = 0.20 mA.

Step 5, check: 0.20 mA is 0.00020 A, and 0.00020 × 0.020 = 4.0 × 10⁻⁶ C, which matches the stored charge.

The current is small, yet it would take a current of 0.20 mA flowing for a full hour to move 0.72 C (0.00020 × 3600). Stored charge on everyday objects is tiny, but a current lasting a long time moves a lot of charge.

The mistake to watch for

Students often say that a bigger current means more charge stored.

Mistaken answer: Sphere X has a larger current, so it stored more charge than sphere Y.

Current tells you how fast charge is moving, not how much was stored. A small charge released very quickly gives a larger current than a big charge released slowly.

The correction is to ask “is this a rate or an amount?” before choosing a unit. If it is a rate, the unit is A. If it is an amount, the unit is C.

Check yourself

Try these, then open each answer.

1. A phone battery is rated at 3000 mAh. Treat this as the charge delivered by a steady current. How many coulombs is that?

Show answer

3000 mAh = 3.0 Ah = 3.0 A for 1 hour. Q = 3.0 × 3600 = 10 800 C.

2. A student says, “A cell stores current.” Rewrite the sentence correctly.

Show answer

A cell stores chemical energy and can make charge flow. Current is the rate of flow of charge, and it is not stored.

3. A sphere holding 9.0 × 10⁻⁶ C discharges in 0.030 s. Find the average current in mA.

Show answer

I = 9.0 × 10⁻⁶ ÷ 0.030 = 3.0 × 10⁻⁴ A = 0.30 mA.

Where this leads next

This finishes the lessons in the module. Test every skill with the charge and current practice set, and return to the charge and current module for the study order.

Quantities with similar names are where careful questioning helps most. That is the kind of conversation our online one-to-one Physics tuition is built around.

Questions people ask

What is the difference between charge and current?

Charge is an amount, measured in coulombs. Current is a rate, the charge passing a point each second, measured in amperes. A large current for a short time and a small current for a long time can move the same charge, which is why the two quantities must not be swapped.

Does a battery store current?

No. A battery stores chemical energy, and it drives a current when connected in a circuit. Battery capacity in milliampere-hours is really a measure of how much charge can be delivered, because current multiplied by time gives charge.

Is a wire carrying a current charged?

No. A wire has as much positive charge in its ions as negative charge in its electrons, so it is neutral overall. The current is electrons moving through it, but no extra charge builds up. A charged object has an imbalance of electrons.

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Your next step

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