Basic mechanics and electronics

Momentary Speed

v_{medel}=\frac{s}{t}, \,\,\, v_{momentant}=\frac{ds}{dt}

a_{medel}=\frac{v}{t}=\frac{v^2-V_0^2}{2s}

a_{momentan}=\frac{dv}{dt}=\frac{d^2x}{dt^2}

\bf{p} = m \cdot \bf{v} %m:et i fetstil?

\textbf{F} = \frac{d\bf{p}}{dt}= \frac{m \cdot d\bf{v}}{dt} = m \cdot \bf{a}

%W = \int_{x_1}^{x_2} F(x) \,dx W = \int_{s_1}^{s_2} \bf{F} \cdot \,d\bf{s}

W_[kin] = \frac{m \cdot v^2}{2}

W_{pot} = -\int_{A}^{B} \bf{F} \cdot \,d\bf{s} = W_{pot}(B)-W_{pot}(A)

P_{medel}=\frac{W}{t}

P_{momentan}=\frac{dW}{dt}

F=\frac{1}{4\pi \epsilon_0}\frac{q_1\cdot q_2}{r^2}

\Phi _E = \bf{E}\cdot d\bf{A}

F=q\cdot v\cdot B

Where v is perpendicular to B.

W=q\cdot E \cdot d

U=\frac{W}{q}

W=\frac{1}{2}\cdot Q \cdot U

I_{medel}=\frac{Q}{t}, i=\frac{dq}{dt}

U=R\cdot I

R=\rho \frac{L}{A}

R_t=R_0[1+\alpha(T-T_0)]

Where

R_0

is the resistance at temperature

T_0

U=E-R_i\cdot I

P_{medel}=\frac{W}{t}=U\cdot I

U_{TOT}=U_1+U_2+...

R_{TOT}=R_1+R_2+...

I_{TOT}=I_1+I_2+...

\frac{1}{R_{TOT}}=\frac{1}{R_{1}}+\frac{1}{R_{2}}+...

I_1+I_2+I_3+...=0

U_1-R_1I-R_2I-U_2=0

Q=C\cdot U

C=\frac{\epsilon_r\epsilon_0 A}{d}

W=\frac{Q\cdot U}{2}

\frac{1}{C_{TOT}}=\frac{1}{C_1}+\frac{1}{C_2}+...

C_{TOT}=C_1+C_2+...

\Phi_m=\bf{B}\cdot d\bf{A}