# In superconductivity, is resistance =0?

If a metal shows superconductivity of electricity at definite temperature, then during superconductivity can we consider resistance of metal = 0?

• The first sentence in the wikipedia page may help. Read on for details. en.wikipedia.org/wiki/Superconductivity – BMS Mar 1 '14 at 7:31
• according to wiki during superconductivity electricesistance but acording to ohms law V=IR then if resistance =o then voltage provided by any battery when metal showing superconductivity will be 0 but voltage of a battery cannot be changed. – Murtuza Vadharia Mar 1 '14 at 7:42
• @MurtuzaVadharia You don't have to keep a battery attached to a superconductive circuit. Just an impulse is sufficient to get the current going - the electric current will continue to flow through the circuit even without battery: voltage is zero, resistance is zero, current is non-zero. This is done in superconductive electromagnets, like those in LHC. – mpv Mar 1 '14 at 7:59
• Superconductivity is strictly a DC phenomenon. If you even ramp it you can get losses. Note the difference between Type I and Type II supercons in a magnetic field (e.g., caused by current flow. A straight wire is 1/2 of a winding). – Uncle Al Mar 1 '14 at 19:28

In Metal there are Cooper pairs and it doesn't have enough energy to break these pairs. If ΔE is larger than the thermal energy of the lattice, given by kT, where k is Boltzmann's constant and T is the temperature (In Kelvin), the fluid will not be scattered by the lattice. The Cooper pair fluid is thus a superfluid, meaning it can flow without energy dissipation.$$E = kT$$Where:$$k = 1.3806488 × 10^{-23}\,m^2\;kg\;s^{-2}\;K^{-1}$$ Superconductivity means that metal resistance has dropped to exactly 0. So answer is yes