What does current divided by resistance equal?

Answer 1

Only those with a weak understanding of electricity believe that the equation, I = E/R, is derived from Ohm's Law. In fact the equation is derived from the definition of the ohm, and not from Ohm's Law! Those who believe that this equation comes from Ohm's Law are demonstrating a fundamental misunderstanding of that so-called 'law'.

Ohm's Law essentially states that 'the ratio of voltage to current is constant for variations in voltage'. No mention of the ohm, and no mention of an equation! If you were to plot a graph of current against voltage for different values of voltage, you will find that very few conductors or other electrical devices produce a straight-line graph; the overwhelming majority produce a curve. So 'linear' or 'ohmic' conductors obey Ohm's Law, whereas 'non-linear' or 'non-ohmic' conductors and devices do NOT! An incandescent lamp, for example, does NOT obey Ohm's Law because its resistance constantly changes as the voltage applied across it changes.

However, the equation R = V/I, which is derived from the definition of the ohm, applies to any circuit for any specified value of voltage, whether that circuit obeys Ohm's Law or not.

Answer 2

Current is equal to the voltage difference of a circuit divided by it's resistance, because that is how resistance is defined.

Current is coulombs per second. Voltage is joules per coulomb. Ohm's law says that resistances is voltage divided by current. Expand that and you get joule-seconds per coulomb squared. This combined unit was named ohms (Omega, Ω) after Georg Simon Ohm, who did most of the experimental and theoretical work on resistivity.

Answer 3

Because that is what Ohm's law states as to the definition of resistance. Resistance is electric potential divided by current; therefore, current is electric potential divided by resistance.

Rather than asking why, why don't you concentrate on memorizing this, because it is a fundamental construct in how we analyze electricity. If you really want to know why, you need to ask Georg Ohm, and he is dead. Actually, you don't have to - his principle lives on - we accept it as as law, and it forms one of the cornerstones in the rules of electricity. Now, go and memorize it.

Electric potential = current times resistance. (That's the third flavor of the same law.)

Answer 4

Voltage divided by current is resistance.

Answer

While the ratio of voltage to current is indeed resistance, you should be aware that this is obtained from the definition of the ohm, and not from Ohm's Law.

This equation is true whether a circuit or other electrical device follows Ohm's Law or not (and most do not!).

Answer 5

The definition of the ohm, and not Ohm's Law, tells us that resistance is voltage divided by current.

Answer 6

No. Ohm's Law says R = V/I or Voltage/Current.

Answer 7

Ohm's Law

Voltage = Current x Resistance

Answer 8

Yes, unless one were to delve into the dynamics of complex power.

Answer 9

This statement is correct.