Basic Electrical Formulas

This table shows basic electrical formulas used to find voltage, current, resistance, power, and energy, helping analyse and design electrical circuits.

\(V=\frac WQ\)V= Electric Potential, Q= Charge, W= Electric potential energy
\(I=\frac qt =\frac {n e}{t}\)I = Current,  q = Charge,  t = time, n = number of electrons,  \(e = -1.6\times10^{-19}\)
\( I= n eAv_d \)

n = number of electrons per unit volume,   \(e = -1.6\times10^{-19}\), A= area of cross-section  of the wire, \(v_d\)= drift velocity of free electrons

\(R=\rho \frac lA\)

R= Resistance, \(\rho\) =Resistivity or specific resistance, l= length, A= cross-section area

\(G=\frac 1R\)G= Conductance, R= Resistance
\(R_1= R_0(1+\alpha_0t_1) \)

A metallic conductor having resistance \( R_0\) at \(0^{o}C\) and \(R_1 \) at \(t_{1}^{o}C, \alpha _{0}= \) Temperature coefficient of resistance at \(0^{o}C\)

\(\alpha _{1} = \frac{\alpha _{0}}{1+\alpha _{0}t_{1}}\)\(\alpha _{1}\) = Temperature coefficient of resistance at \(t_{1}^{o}C\)
\(\alpha _{0} \)= Temperature coefficient of resistance at \(0^{o}C\)
\(R_2= R_1[1+\alpha _{1}(t_{2}-t_{1})]\)Conductor having resistance \(R_2\) at \(t_{2}^{o}C\) and \(R_1\) at \(t_{1}^{o}C\) , \(\alpha _{1}\) = Temperature coefficient of resistance at \(t_{1}^{o}C\)
\(V= IR\)

V= Potential Difference, I= Current, R= Resistance

\(P= VI=I^{2}R=\frac{V^{2}}{R}\)

P= Electric Power, V= Potential Difference, I= Current, R= Resistance

\(W=Pt= VIt=I^{2}Rt=\frac{V^{2}t}{R}\)

W= Electrical energy consumed, P= Electric Power, t= energy consumed time, V= Potential Difference, I= Current, R= Resistance 

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