articles Ohm's law
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Ohm's law

from Wikipedia · auto-extracted formulas

70%interactive
23 formulas found 16 live 0 needs-values 7 display-only

Interactive · 16 calculators

Pulled straight from the article. Drag a slider — the result recomputes live in the real engine.

V
explore 
$${\displaystyle V=IR}$$
auto-extracted, live
solving for $V$
$V$ = 1 V
vary these
$I$
A
$R$
Ω
-0.8510.8010I
J
explore 
$${\displaystyle \mathbf {J} =\sigma \mathbf {E}}$$
auto-extracted, live
solving for $J$
$J$ = 2.718
vary these
$\sigma$
S/m
$E$
J
-2.1713.5929.36010sigma
§History
explore 
$${\displaystyle x={\frac {a}{b+\ell }}}$$
auto-extracted, live
solving for $x$
$x$ = 0.5
vary these
$a$
m/s²
$b$
$l$
-0.42.55.4010a
§Circuit analysis
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$${\displaystyle I={\frac {V}{R}}}$$
auto-extracted, live
solving for $I$
$I$ = 1 A
vary these
$V$
V
$R$
Ω
-0.8510.8010V
§Reactive circuits with time-varying signals
explore 
$${\displaystyle Z=sL}$$
auto-extracted, live
solving for $Z$
$Z$ = 1
vary these
$s$
$L$
-0.8510.8010s
§Reactive circuits with time-varying signals
explore 
$${\displaystyle Z={\frac {1}{sC}}}$$
auto-extracted, live
solving for $Z$
$Z$ = 1
vary these
$s$
$C$
-0.342.856.04010s
§Reactive circuits with time-varying signals
explore 
$${\displaystyle V=Z\,I}$$
auto-extracted, live
solving for $V$
$V$ = 1 V
vary these
$Z$
$I$
A
-0.8510.8010Z
§Other versions
explore 
$${\displaystyle \mathbf {E} =\rho \mathbf {J}}$$
auto-extracted, live
solving for $E$
$E$ = 1 J
vary these
$\rho$
$J$
-0.8510.8010rho
§Other versions
explore 
$${\displaystyle J={\frac {I}{a}}}$$
auto-extracted, live
solving for $J$
$J$ = 1
vary these
$I$
A
$a$
m/s²
-0.8510.8010I
§Other versions
explore 
$${\displaystyle {\frac {V}{\ell }}={\frac {I}{a}}\rho}$$
implicit form — pick an unknown, type the rest, it solves
solving for $V$
$V$ = 1
vary these
$l$
$I$
$a$
$\rho$
§Other versions
explore 
$${\displaystyle {R}=\rho {\frac {\ell }{a}}}$$
auto-extracted, live
solving for $R$
$R$ = 1 Ω
vary these
$\rho$
$l$
$a$
m/s²
-0.8510.8010rho
§Magnetic effects
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$${\displaystyle \mathbf {J} =\sigma (\mathbf {E} +\mathbf {v} \times \mathbf {B} )}$$
auto-extracted, live
solving for $J$
$J$ = 2
vary these
$\sigma$
S/m
$E$
J
$v$
m/s
$B$
-1.61021.6010sigma
§Conductive fluids
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$${\displaystyle \sigma (\mathbf {E} +\mathbf {v} \times \mathbf {B} )=\mathbf {J}}$$
implicit form — pick an unknown, type the rest, it solves
solving for $\sigma$
$\sigma$ = — can’t solve
vary these
$E$
$v$
$B$
$J$
§Conductive fluids
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$${\displaystyle \mathbf {E} +\mathbf {v} \times \mathbf {B} =\rho \mathbf {J}}$$
implicit form — pick an unknown, type the rest, it solves
solving for $E$
$E$ = 0
vary these
$v$
$B$
$\rho$
$J$
§Conductive fluids
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$${\displaystyle \rho =\sigma ^{-1}}$$
auto-extracted, live
= 1
-0.342.856.04010sigma
$\sigma$
1
§Conductive fluids
explore 
$${\displaystyle \eta =1/\mu _{0}\sigma}$$
auto-extracted, live
solving for $\eta$
$\eta$ = 1
vary these
$\mu_{0}$
$\sigma$
S/m
-0.342.856.04010mu_0

Understand the rest · 7 formulas

These didn’t auto-convert to a clean single-output calculator (multi-letter names, implicit forms, approximations) — shown for reference.

History
$${\displaystyle I={\frac {\mathcal {E}}{r+R}}}$$
why not interactive? uses notation the calculator can’t evaluate yet (integrals, vectors, matrices…)
History
$${\displaystyle I={\frac {\mathcal {E}}{r+{\mathcal {R}}\ell }}}$$
why not interactive? uses notation the calculator can’t evaluate yet (integrals, vectors, matrices…)
History
$${\displaystyle a={\frac {\mathcal {E}}{\mathcal {R}}}}$$
why not interactive? uses notation the calculator can’t evaluate yet (integrals, vectors, matrices…)
Other versions
$${\displaystyle {\Delta V}=-\int {\mathbf {E} \cdot d{\boldsymbol {\ell }}}}$$
why not interactive? uses notation the calculator can’t evaluate yet (integrals, vectors, matrices…)
Other versions
$${\displaystyle V={E}{\ell }\}$$
why not interactive? uses notation the calculator can’t evaluate yet (integrals, vectors, matrices…)
Conductive fluids
$${\displaystyle m_{e}n_{e}{d\mathbf {v} _{e} \over dt}=-n_{e}e\mathbf {E} +n_{e}m_{e}\nu (\mathbf {v} _{i}-\mathbf {v} _{e})-en_{e}\mathbf {v} _{e}\times \mathbf {B}}$$
why not interactive? uses notation the calculator can’t evaluate yet (integrals, vectors, matrices…)
Conductive fluids
$${\displaystyle \sigma ={n_{e}e^{2} \over \nu m_{e}}}$$
why not interactive? uses notation the calculator can’t evaluate yet (integrals, vectors, matrices…)